Recall that a ratio (x) of the rates of return on the investment for P FRAME TIMESTAME two consecutive years was shown to have a normal distribution, CAMENG METHAN Pa da p with = 1.5 and σ = .2. Consider a random sample of 100 SEMENTARE variable life insurance policies and let represent the mean ratio for the sample. a. Find E() and interpret its value. b. Find Var(x). c. Describe the shape of the sampling distribution of .

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5.28 Variable life insurance return rates. Refer to the
THEMENTE
International Journal of Statistical Distributions (Vol. 1, 2015)
P
study of a variable life insurance policy, Exercise 4.97 (p. 239).
SE HANDE
Recall that a ratio (x) of the rates of return on the investment for
C
SE
two consecutive years was shown to have a normal distribution,
D
PENZI NIMEREN MERC
with = 1.5 and o= .2. Consider a random sample of 100
P
WWW
FESTE!
variable life insurance policies and let represent the mean
COME
ratio for the sample.
a. Find E(T) and interpret its value.
b. Find Var(z).
c. Describe the shape of the sampling distribution of .
d. Find the z-score for the value = 1.52.
e. Find P(x > 1.52).
f. Would your answers to parts a-e change if the rates (x)
of return on the investment for two consecutive years
was not normally distributed? Explain.
Transcribed Image Text:5.28 Variable life insurance return rates. Refer to the THEMENTE International Journal of Statistical Distributions (Vol. 1, 2015) P study of a variable life insurance policy, Exercise 4.97 (p. 239). SE HANDE Recall that a ratio (x) of the rates of return on the investment for C SE two consecutive years was shown to have a normal distribution, D PENZI NIMEREN MERC with = 1.5 and o= .2. Consider a random sample of 100 P WWW FESTE! variable life insurance policies and let represent the mean COME ratio for the sample. a. Find E(T) and interpret its value. b. Find Var(z). c. Describe the shape of the sampling distribution of . d. Find the z-score for the value = 1.52. e. Find P(x > 1.52). f. Would your answers to parts a-e change if the rates (x) of return on the investment for two consecutive years was not normally distributed? Explain.
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