QUESTION 1
1 If the random variableX is normally distributed with a mean of 75 and a standard deviation of 8, then P(X ? 78) is:
a
015
b
065
c
075
d
098
e
None of the above
05 points
QUESTION 2
1 Dr Ho has asked his nurse to call each patient a week before their bill is due As a result of time constraints, however, only 60% of patients receive such a call from his nurse Of the patients called, 90% pay on time, while only 30% of those not called pay on time Dr Ho has just received a payment on time from a patient
What is the probability that the nurse didnot call this patient?
a
073
b
054
c
027
d
018
e
None of the above
05 points
QUESTION 3
1 Jerry calls people and tries to sell them an auto insurance policy On 40% of his calls, there is no answer or the line is busy He sells the auto insurance policy to 5% of the remaining calls For what proportion of calls does he make a sale?
a
002
b
003
c
004
d
005
e
None of the above
05 points
QUESTION 4
1 A portfolio is composed of two shares The following parameters associated with the returns of the two shares are given
Share
1
2
Proportion of portfolio
45%
55%
Mean
010
020
Standard deviation
002
015
2
3 The mean return of the portfolio is:
a
010
b
016
c
026
d
036
e
None of the above
05 points
QUESTION 5
1 Which of the following statements is true?
a
The median is a better measure of centre than the mean when the distribution is symmetric
b
In a histogram, the proportion of the total area to the left of the median is less than 50%
c
Both data sets will have the same variance when two data sets have the same range
d
Leading questions must be avoided in designing a questionnaire
e
Pie charts can only be used for nominal data
05 points
QUESTION 6
1 Suppose P(A) = 010, P(B) = 075, and P(B|A) = 080 Find P(A B) is:
a
008
b
011
c
072
d
077
e
None of the above
05 points
QUESTION 7
1 Which of the following statements is true?
a
Age is an example of a continuous random variable
b
For a continuous probability distribution to be valid, the probabilities must lie between minus infinity and infinity, where the sum of all probabilities must be 1
c
Events A and B are considered to be independent when P(A?B) = 0
d
Two events A and B are mutually exclusive when P(A|B) = P(A) + P(B)
e
None of the above
05 points
QUESTION 8
1 Which of the following statements about the binomial probability distribution is (are) true?
a
The binomial probability distribution is a continuous probability distribution
b
Each trial in a binomial experiment has at least 2 possible outcomes
c
The outcome of one trial can affect the outcomes of any other trials
d
There are two parameters for a binomial probability distribution
e
None of the above
05 points
QUESTION 9
1 Which of the following is always true for all probability density functions of continuous random variables?
a
They are symmetrical
b
The probability can take any value
c
The probability that X will take any specific value is always greater than zero
d
where p(x) is a probability density function
e
None of the above
05 points
QUESTION 10
1 Four PhD graduates are applying for a lectureship position in a college The four applicants are Adam, Bob, Charles and Derek Employing the subjective approach, Jerry has assigned the following probabilities that these applicants will be hired:
P(Adam) = 041
P(Bob) = 010
P(Charles) = 027
P(Derek) = 022
The probability that either Bob or Charles are hired is:
a
010
b
017
c
027
d
037
e
None of the above
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