A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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**Question 2**

a) The shelf life of a battery produced by a major company is normally distributed with a mean of 8 years and a standard deviation of 0.2 years. What value of shelf life do 19.49% of battery shelf lives fall below? Do not round your final answer.

b) The shelf life of a battery produced by a major company is normally distributed with a mean of 8 years and a standard deviation of 0.2 years. What value of shelf life do 14.46% of battery shelf lives fall above? Do not round your final answer.

c) The number of pizzas that a delivery driver delivers during a shift has a normal distribution with a mean of 13 and a standard deviation of 5. What is the probability that in a random sample of 9 shifts, the driver delivers more than 11 pizzas? Round all z scores to two decimals. Enter your final answer as a decimal to four places (e.g., 0.1234). Probabilities must match values from the table.

d) Use the normal approximation to the binomial to estimate the probability of getting less than 51 girls in 100 births. Assume that boys and girls are equally likely and that births are independent. Round all z scores to two decimals. Enter your final answer as a decimal to four places (e.g., 0.1234). Probabilities must match values from the table.
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Transcribed Image Text:**Question 2** a) The shelf life of a battery produced by a major company is normally distributed with a mean of 8 years and a standard deviation of 0.2 years. What value of shelf life do 19.49% of battery shelf lives fall below? Do not round your final answer. b) The shelf life of a battery produced by a major company is normally distributed with a mean of 8 years and a standard deviation of 0.2 years. What value of shelf life do 14.46% of battery shelf lives fall above? Do not round your final answer. c) The number of pizzas that a delivery driver delivers during a shift has a normal distribution with a mean of 13 and a standard deviation of 5. What is the probability that in a random sample of 9 shifts, the driver delivers more than 11 pizzas? Round all z scores to two decimals. Enter your final answer as a decimal to four places (e.g., 0.1234). Probabilities must match values from the table. d) Use the normal approximation to the binomial to estimate the probability of getting less than 51 girls in 100 births. Assume that boys and girls are equally likely and that births are independent. Round all z scores to two decimals. Enter your final answer as a decimal to four places (e.g., 0.1234). Probabilities must match values from the table.
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