Saturday, 17 November 2012

MTH302 Business Mathematics & Statistics Quiz 1 Solution Fall 2012


Today Quiz no.1
Question # 1 of 10 ( Start time: 09:34:32 PM )  Total Marks: 1
In tossing of a coin, the outcomes on successive trials are independent.
Select correct option:
 True
False
Question # 2 of 10 ( Start time: 09:35:15 PM )  Total Marks: 1
The correct formula for AND rule is
Select correct option:
 P(A and B)= P(A) P(B)        ok
P(A and B)= P(A)-P(B)
P(A and B)= P(A) + P(B)
None of these
 Question # 3 of 10 ( Start time: 09:36:28 PM )  Total Marks: 1
In binomial distribution, the experiment is repeated for
Select correct option:
 Variable number of times
Fixed number of times
Many number of times
None of these
 Question # 4 of 10 ( Start time: 09:37:54 PM )  Total Marks: 1
In the excel formulation for Poisson distribution i-e “POISSON(x,mean,cumulative)”, if ‘x’ or mean is non-numeric then it gives
Select correct option:
 #NUM!
#VALUE!
TRUE
FALSE
 Question # 5 of 10 ( Start time: 09:38:56 PM )  Total Marks: 1
If A and B are mutually exclusive events then,
Select correct option:

P(A or B) = P(A) + P(B) ok
P(A or B) = P(A) + P(B)-P(A and B)
P(A or B) = P(A) – P(B)
P(A and B) = P(A) +P(B)+ P(A or B)

 Question # 6 of 10 ( Start time: 09:40:20 PM )  Total Marks: 1
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 ok
None of these.

Question # 7 of 10 ( Start time: 09:41:31 PM )  Total Marks: 1
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 # 8 of 10 ( Start time: 09:42:24 PM )  Total Marks: 1
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 # 9 of 10 ( Start time: 09:43:34 PM )  Total Marks: 1
When two dice are rolled together, the outcomes on the faces are independent.
Select correct option:
 True
False
Quiz Start Time: 09:34 PM  Time Left  66
sec(s)


Question # 10 of 10 ( Start time: 09:44:11 PM )  Total Marks: 1
The probability of successes can be less than 0 or greater than 1.
Select correct option:
 True
False
 Another Quiz
Question # 1 of 10 ( Start time: 09:45:50 PM )  Total Marks: 1
Poisson probabilty density function has ____ parameter(s)
Select correct option:
 0
1
2
None of these.

Question # 2 of 10 ( Start time: 09:46:54 PM )  Total Marks: 1
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 # 3 of 10 ( Start time: 09:47:59 PM )  Total Marks: 1
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.

Question # 4 of 10 ( Start time: 09:48:27 PM )  Total Marks: 1
The successive binomial trials are assumed to be
Select correct option:
 Independent
Dependent
May be independent
None of these

Question # 5 of 10 ( Start time: 09:48:48 PM )  Total Marks: 1
When two dice are rolled together, the outcomes on the faces are independent.
Select correct option:
 True
False

Question # 6 of 10 ( Start time: 09:49:04 PM )  Total Marks: 1
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 # 7 of 10 ( Start time: 09:49:48 PM )  Total Marks: 1
The Excel command “=BINOMDIST( 7, 4, 0.5, FALSE)” gives an error of #NUM. The reason is that number of successes is 7 which are greater than the trials which are 4.
Select correct option:
 True
False

Question # 8 of 10 ( Start time: 09:50:08 PM )  Total Marks: 1
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 # 9 of 10 ( Start time: 09:50:31 PM )  Total Marks: 1
What is not a characteristic of poisson distribution.
Select correct option:
 Eiter/or situation.
mean number of successes per unit,m,known and fixed.
p,chance unknown and large
None of these.

 Question # 10 of 10 ( Start time: 09:50:43 PM )  Total Marks: 1
In the normal distribution curve, peak of the bell-shaped curve gives
Select correct option:
 Standard deviation
Variance
Mean
Frequency

 Another Quiz

Question # 1 of 10 ( Start time: 09:52:31 PM )  Total Marks: 1
In the excel formulation for Poisson distribution i-e “POISSON(x,mean,cumulative)”, if ‘x’ or mean is non-numeric then it gives
Select correct option:
 #NUM!
#VALUE!
TRUE
FALSE
 Question # 2 of 10 ( Start time: 09:53:24 PM )  Total Marks: 1
Which of the following is NOT 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, …
 Every event is dependent of every other event.
  
Question # 3 of 10 ( Start time: 09:54:34 PM )  Total Marks: 1
A single card is to be drawn from a well shuffled deck of cards. What will be the probability of black cards?
Select correct option:
 25/52
26/52
27/52
None of these
 Qestion # 4 of 10 ( Start time: 09:55:44 PM )  Total Marks: 1
The formula for the OR rule in probability theory is defined to be
Select correct option:
 P(A or B) = P(A) – P(B)
P(A or B) = P(A) + P(B)-P(A and B)
P(A or B) = P(A) + P(B)
P(A and B) = P(A) +P(B)+ P(A or B)

Question # 5 of 10 ( Start time: 09:56:41 PM )  Total Marks: 1
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 # 6 of 10 ( Start time: 09:57:41 PM )  Total Marks: 1
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 # 7 of 10 ( Start time: 09:58:39 PM )  Total Marks: 1
When two coins are tossed, then probability that two heads are obtained is
Select correct option:
 1/2
1/3
1/4
1/5
 Question # 8 of 10 ( Start time: 09:59:42 PM )  Total Marks: 1
The Excel command “=BINOMDIST( 7, 4, 0.5, FALSE)” gives an error of #NUM. The reason is that number of successes is 7 which are greater than the trials which are 4.
Select correct option:
 True
False
  Question # 9 of 10 ( Start time: 10:00:18 PM )  Total Marks: 1
In binomial distribution, the experiment is repeated for
Select correct option:
 Variable number of times
Fixed number of times
Many number of times
None of these
 Quiz Start Time: 09:52 PM  Time Left  81
sec(s)
 Question # 10 of 10 ( Start time: 10:01:32 PM )  Total Marks: 1
When two dice are rolled together, the outcomes on the faces are independent.
Select correct option:
 True
False

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