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Question : The rate of return for an investment can be described by a normal distribution with mean 36% : 2150466

**SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.**

121) The rate of return for an investment can be described by a normal distribution with mean 36% and standard deviation 3%. What is the probability that the rate of return for the investment will be at least 31.5%?

122) The rate of return for an investment can be described by a normal distribution with mean 50% and standard deviation 3%. What is the probability that the rate of return for the investment exceeds 56%?

123) The board of examiners that administers the real estate broker's examination in a certain state found that the mean score on the test was 500 and the standard deviation was 72. If the board wants to set the passing score so that only the best 10% of all applicants pass, what is the passing score? Assume that the scores are normally distributed.

124) The board of examiners that administers the real estate broker's examination in a certain state found that the mean score on the test was 489 and the standard deviation was 72. If the board wants to set the passing score so that only the best 80% of all applicants pass, what is the passing score? Assume that the scores are normally distributed.

125) The tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60,000 miles and a standard deviation of 4700 miles. If the manufacturer guarantees the tread life of the tires for the first 54,360 miles, what proportion of the tires will need to be replaced under warranty?

126) Farmers often sell fruits and vegetables at roadside stands during the summer. One such roadside stand has a daily demand for tomatoes that is approximately normally distributed with a mean of 595 tomatoes and a standard deviation of 30 tomatoes. If there are 553 tomatoes available to be sold at the roadside stand at the beginning of a day, what is the probability that they will all be sold?

127) Farmers often sell fruits and vegetables at roadside stands during the summer. One such roadside stand has a daily demand for tomatoes that is approximately normally distributed with a mean of 120 tomatoes and a standard deviation of 30 tomatoes. How many tomatoes must be available on any given day so that there is only a 1.5% chance that all tomatoes will be sold?

**MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.**

128) Suppose a random variable *x* is best described by a normal distribution with *μ* = 60 and s = 4 Find the *z*-score that corresponds to the value *x* = 64.

A) 64

B) 1

C) 4

D) 15

129) Suppose a random variable* x* is best described by a normal distribution with *μ* = 60 and s = 9 Find the z-score that corresponds to the value *x* = 96.

A) (5/3)

B) 36

C) 4

D) 9

130) Suppose a random variable *x* is best described by a normal distribution with *μ* = 60 and s = 8 Find the *z*-score that corresponds to the value *x* = 60.

A) 8

B) 0

C) (15/2)

D) 1

131) Suppose a random variable *x* is best described by a normal distribution with *μ* = 60 and s = 16 Find the *z*-score that corresponds to the value *x *= 0.

A) -3.75

B) 3.75

C) 16

D) -16

132) IQ test scores are normally distributed with a mean of 102 and a standard deviation of 17. An individual's IQ score is found to be 127. Find the *z*-score corresponding to this value.

A) 0.68

B) -1.47

C) -0.68

D) 1.47