1) Respond to question of probability. Write only a number as your answer. Round

Question

1) Respond to question of probability. Write only a number as your answer. Round your answers to 4 decimal places. Do not write as a percentage.

A) The weights of bowling balls are normally distributed with mean 11.5 pounds and standard deviation 2.7 pounds. A sample of 36 bowling balls is selected. What is the probability that the average weight of the sample is less than 11.42 pounds?

B) It has been reported that 48% of people text and drive. A random sample of 60 drivers is drawn. Find the probability that the proportion of people in the sample who text and drive are less than 0.487.

C) At a certain college, 50% of all students take advantage of study services. A sample of 36 students is selected. What is the probability that the proportion of students who take advantage of the study services in the sample is between 0.495 and 0.580?

Explanation / Answer

We are allowed to do 1 question at a time. Post again for second question.

a) Mean = 11.5

SD = 2.7

n = 36

P( X < 11.42)

z = (11.42 - 11.5)/2.7/36

z = - 0.22

P = 0.4129

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