Question 1

A sample of 500 evening students revealed that their annual incomes from employment in industry during the day were normally distributed with a mean income of $30,000 and a standard deviation of $3,000. (i)  250 students earned more than $30,000.
(ii. 341 students earned between $27,000 and $33,000.
(iii)  239 students earned between $24,000 and $30,000.

Accepted Answer

A)   (i) , (ii) , and (iii)  are all correct statements.
B)   (i)  is a correct statement but not (ii)  or (iii) .
C)   (i)  and (iii)  are correct statements but not (ii) .
D)   (i)  and (ii)  are correct statements but not (iii) .
E)   (ii)  and (iii)  are correct statements but not (i) .F) C) and E)
G) A) and D)

Question 2

A sample of 500 evening students revealed that their annual incomes from employment in industry during the day were normally distributed with a mean income of $30,000 and a standard deviation of $3,000. (i)  250 students earned more than $30,000.
(ii. 341 students earned between $27,000 and $33,000.
(iii)  290 students earned between $24,000 and $30,000.

Accepted Answer

A)   (i) , (ii) , and (iii)  are all correct statements.
B)   (i)  is a correct statement but not (ii)  or (iii) .
C)   (i)  and (iii)  are correct statements but not (ii) .
D)   (i)  and (ii)  are correct statements but not (iii) .
E)   (ii)  and (iii)  are correct statements but not (i) .F) None of the above
G) B) and E)

Question 3

i. A continuity correction compensates for estimating a discrete distribution with a continuous distribution. ii. The normal probability distribution is generally deemed a good approximation for the binomial probability distribution when np and n(1 -p) are both greater than five.
iii. When a continuity correction factor is used, its value is 1.

Accepted Answer

A)   (i) , (ii) , and (iii)  are all correct statements.
B)   (i)  is a correct statement but not (ii)  or (iii) .
C)   (i)  and (iii)  are correct statements but not (ii) .
D)   (i)  and (ii)  are correct statements but not (iii) .
E)   (i) , (ii) , and (iii)  are all false statements.F) None of the above
G) C) and D)

Exam 6: Continuous Probability Distributions

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Exam 6: Continuous Probability Distributions

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