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MTH302 solved quiz#4 2/2/2011

              MTH302 quiz#4
 
Question # 1
For mutually exclusive events A and B
Select correct option:
       Probability of A intersection B > 0
       Probability of A intersection B < 0
       Probability of A intersection B = 0
       None of these
Question # 2
In the normal distribution curve, peak of the bell-shaped curve gives
Select correct option:
       Standard deviation
       Variance
       Mean
       Frequency
Question # 3
Faulty apple toffees in a production line average out at 6 per box.The management is willing to replace one box in a hundred. What is the number of faulty toffees that this probabilty corresponds to?
Select correct option:
       20
       18
       13
       None of these
Question # 4
In tossing of a coin, the outcomes on successive trials are independent.
Select correct option:
       True
       False
Question # 5
 he Excel command “=BINOMDIST( 4, 10, 2, FALSE)” gives an error of #NUM. The reason is that the probability of successes is 2 which is wrong. The probability of successes cannot be greater than 1.
Select correct option:
       True
       False
Question # 6
The following formula for probability P(A or B) = P(A) + P(B)-P(A and B) is called
Select correct option:
       The law of addition
       The law of subtraction
       The law of multiplication
       None of these
Question # 7
The number of false fire alarms in a suburb of London on averages 4 per day. Assuming that a Poisson distribution is appropriate, the probability that 3 false alarms will occur on a given day is given by
Select correct option:
       P(X=3 ) = (4^3e^-3)/4!
       P(X=3 ) =1- (4^3e^-3)/3!
       P(X=3 ) = (4^3e^-4)/3
       P(X=3 ) =1- (4^3e^-4)/4!
Question # 8
What is the probability of at least one head in the experiment of tossing a coin three times?
Select correct option:
       1/7
       7/8
       1/8
       8/7
Question # 9
Probability of sure event is --------
Select correct option:
       0
       1
       -1
      None of these
Question # 10
Formulation for Poisson distribution i-e "POISSON(x,mean,cumulative)" is truncated if ‘x’ is
Select correct option:
       Non-integer
       Integer
       Integer but expected numeric value
       Integer but non-expected value
Question # 11
A pair of dice is thrown, the probability of getting a total of 5 or 11 is  
Select correct option:  

1/5 
1/7 
1/6 
1/8
Question # 12
The probability of "success" p is equals to  
Select correct option:  

q 
1-q 
1+q 
None of these
Question # 13
When a dice is rolled then outcomes on the face of the dice (i.e. 1, 2, 3, 4, 5, 6) are mutually exclusive.  
Select correct option:  

True 
False
Question # 14
What is not a characteristic of poisson distribution.  
Select correct option:  

Either/or situation. 
mean number of successes per unit,m,known and fixed. 
p,chance unknown and large 
None of these.
Question # 15
Which of the following can be best fit for the prediction of the vehicles arriving at their destination in 2 hours?  
Select correct option:  

Binomial Distribution  
Normal Distribution  
Poisson Distribution  
Chi-Square Distribution
Question #16
Probability distribution is a set of possible values that a random variable can assume and their associated probabilities of occurrence.  
Select correct option:  

True 
False
Question #17
Significant birth defects occur at a rate of about 4 per 1000 births in human populations. Which type of distribution can better deal with the above mentioned case?  
Select correct option:  

Binomial Distribution. 
Normal Distribution. 
Poisson Distribution. 
None of the above.
Question #18
Suppose, you have a bag in which there are one green and one red ball. You take out a ball repeatedly and put it back into the bag, and you count the number of times the green ball comes out. You continue to take out the ball until the green ball comes out 3 times. This experiment shows the case of Negative Binomial Distribution.  
Select correct option:
 
True
False
Question #19
For the Poisson distribution,  
Select correct option:  

E(X) = µ   , Var(X) = µ   
E(X) = µ   , Var(X) = - µ   
(X) = -µ   , Var(X) = µ   
E(X) = 0   , Var(X) = 0
Question #20
For normal distribution the probability of an event is zero if and only if value of ‘z’  
Select correct option:  

Greater than 3  
Less than 3 
Equal to 3 
None of these
Question #21
What is the range of probability of any event?  
Select correct option:  

-1 to 0 
-1 to 1 
0 to 1 
None of these
 
Question #22
During a typical football game, a coach can expect 3.2 injuries. Find the probability that the team will have at most 1 injury in this game. We are interested in  
Select correct option:  

P(X=1 )  
P(X<1 )  
P(X=1 )  
P(X=0 ) + P(X=1 )
Question #23
When two events are mutually exclusive, the probability of either one of those occurring is the sum of individual probabilities. This is the called the ……  
Select correct option:  

AND Rule 
OR Rule 
OR-AND Rule 
AND-OR Rule
Question #24
Attendance in a factory shows 7 absences.What is probabilty that on a given day there will be more than 8 people absent?
Select correct option:
       0.2709
       0.184
       0.5
       None of these.
formula
P(X >8)=1−P(X ≤8)= 1-0.7291= 0.2709
Question #25 
If a dice is thrown then the probability of getting an odd number or an even number is
Select correct option:
       1/2
       1/3
       1
       None of these
Question #26
An automatic production line breaks down every 2 hours.Special production requires uninterrupted operation for 8 hours.What is the probabilty that this can be achieved.
Select correct option:
       0.312
       0.021
       0.0183
       None of these.
p( x=0) =40 00!e
= 0.0183 =1.83%
1.83/100
=0.0183
Question # 27
A fair coin is tossed three times then its total number of sample points of the sample space will be
Select correct option:
       3^2
       2^3
       2^4
       None of these
Question #28
Probability of occurrence of an event A = -------- (Where X=Number of outcomes favorable to event A and n=total number of outcomes)
Select correct option:
       nX
       n/X
       X/n
       None of these
Question #29
Analysis of Variance (ANOVA) is a test for equality of
Select correct option:
       6723
       6725
       6720
       6721
=.662/.9843 =.6725
Question #30
A coin is tossed twice. What is the probability of getting head on first toss and tail on second toss?
Select correct option:
       ½
       1/3
       ¼
       None of these
Question #31
A lottery has Rs.100 payout on average 20 turns.What will be expected win per turn.
Select correct option:
       Rs.5
       Rs. -5
       Rs.3
       None of these.
20/100=5
Question #32
In binomial distribution, each observation represents
Select correct option:
       One of two outcomes ("success" or "failure")
       Only one outcome ("success")
       Only one outcome ("failure")
       None of these
Question #33
An automatic packing machine produces on an average one in 100 underweight bags.What is the probabilty that 500 bags contain less than three underweight bags?
Select correct option:
       0.018
       0.1247
       0.312
       None of these
 
Question # 34
The correct formula for OR rule is
Select correct option:
       P(A or B)=P(A) P(B)
       P(A or B) =P(A)-P(B)
       P (A or B)  alt="=P" onload="_GM_EmoticonHandler("load", this)" onmouseover="_GM_EmoticonHandler("mouseover", this)" pattern="equal tongue" createtime=1296649696901 iconset=goomoji framecount=93 v:shapes="_x0000_i1027"> (A) + P (B)
       None of these
Question #35
In Binomial distribution, the outcome on one trial ………… the outcome on other trials.
Select correct option:
       Does not affect
       Does affect
       May affect
       None of these
Question #36
In the excel formulation for Poisson distribution i-e "POISSON(x,mean,cumulative)", ‘x’ is the
Select correct option:
       Expected numeric value
       Logical value that determines the form of the probability distribution returned
       Number of events over a specific time
       Discrete non-random variable
Question #37
The successive binomial trials are assumed to be
Select correct option:
       Independent
       Dependent
       May be independent
       None of these
Question #38
Probability distribution is a set of possible values that a random variable can assume and their associated probabilities of occurrence.
Select correct option:
       True
       False
Question #39
The Excel command “=BINOMDIST( 4, 10, 2, FALSE)” gives an error of #NUM. The reason is that the probability of successes is 2 which is wrong. The probability of successes cannot be greater than 1.
Select correct option:
       True
       False
Question #40
The correct formula for AND rule is
Select correct option:
       P(A and B)= P(A) P(B)
       P(A and B)= P(A)-P(B)
       P(A and B)= P(A) + P(B)
       None of these
Question #41
What is probabilty of r or more successes when m=7;r=9
Select correct option:
       0.2709
       0.184
       0.5
       None of these
Question #42
The Excel command CRITBINOM(trials,p,alpha) where n is the number of trials, p is the probability of success in trials, and alpha is the criterion value. If trials < 0 , then CRITBINOM returns #NUM! error.
Select correct option:
       True
       Flase
Question #43
The mean of a Poisson distribution is 5 while its standard deviation is 4.then what option is correct about this statement.
Select correct option:
       In some cases this result is possible.
       Mean should be always less than standard deviation .
       Mean and standard deviation are always equal.
       Only option 1 & 3.
Question #44
An automatic packing machine produces on an average one in 100 underweight bags.What is the probabilty that 500 bags contain less than three underweight bags?
Select correct option:
       0.018
       0.1247
       0.312
       None of these.
p(x<3, α =5) = p(x<=2, α =5) = 0.1247=12.47%
 
Suppose, you have a bag in which there are one green and one red ball. You take out a ball repeatedly and put it back into the bag, and you count the number of times the green ball comes out. You continue to take out the ball until the green ball comes out 3 times. This experiment shows the case of Negative Binomial Distribution.
Select correct option:
       True
       False
Question #45
Which of the following is applicable to a Poisson Distribution?
Select correct option:
       It is used to compute the probability of rare events.
       Every event is independent of every other event.
       The range for the number of events that could occur is 0,1,2,3, ...
       all of given choices.
Question #46
If a dice is thrown what is the chance of getting an odd number or a number divisible bytwo?
Select correct option:
       1/3
       4/6
       ½
       None of these
Question #47
A pair of dice is thrown, the probability of getting a total of 5 or 11 is
Select correct option:
       1/5
       1/7
       1/6
       1/8
6/36 = 1/6
Question #48
When two dice are rolled together, the outcomes on the faces are independent.
Select correct option:
       True
       False
Question #48
12% of the electric bulbs manufactured by a company are defective. What is the probability that a bulb selected will not be defective?
Select correct option:
       90%
       88%
       80%
       85%
1-12??
1-.12=.88/100=88%
Question #49
This formula “=BINOMDIST( 3, 6, 0.5, TRUE )” is for Cumulative Bionomial distribution.
Select correct option:
       True
       False
Cumulative is a logical value that determines the form of the function. If cumulative
is TRUE, then BINOMDIST returns the cumulative distribution function
Question #50
Which of these numbers cannot be a probability?
Select correct option:
       0.5
       1.001
       0
       1
Question #51
The marketing manager of a company receives average10 complaint calls during a week .Suppose that the number of calls during a week follows the Poisson distribution. The probability that she gets five such calls in one day is:
Select correct option:
       (10^5e^-10)/5!
       1-(10^5e^-10)/5!
       10C5 * 0.55 * 0.55
       1 - 10C5 * 0.55 * 0.55
Question #52
If an event A is a proper subset of an event B then Probability of the event
Select correct option:
       B is less than the event A
       A is equals the event B
       A is less than the event B
       None of these
Question #53
In the excel formulation for Poisson distribution i-e "POISSON(x,mean,cumulative)", if X<0 then it returns to
Select correct option:
       TRUE
       FALSE
       #VALUE!
       #NUM!
Question #54
An automatic production line breaks down every 2 hours. Special production requires uninterrupted operation for 8 hours. What is the probabilty that this can be achieved.
Select correct option:
       0.312
       0.021
       0.0183
       None of these.
 
 
 

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