Question

For the circled questions, show all your work. Write on these pages only, on the backs if necessary. There is one point for each circled question (a show work question), and one point for each of the noncircled ones. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Assume that X has a normal distribution, and find the indicated probability. 1) The mean is ?= 15.2 and the standard deviation is ? = 0.9. 1) Find the probability that X is greater than 16.1. A) 0.1357 B) 0.1587 C) 0.8413 D) 0.1550 Solve the problem. Round to the nearest hundredth. 2) The weights of certain machine components are normally distributed with a mean of 8.57 g and a 2) standard deviation of 0.1 g. Find the weight that separates the top 3% from the rest. This weight could serve as a limit used to identify which components should be rejected. Round to the nearest hundredth of a gram. A) 8.59 g B) 8.62 g C) 8.84 g D) 8.76 g Solve the problem. 3) The annual precipitation amounts in a certain mountain range are normally distributed with a 3) mean of 107 inches, and a standard deviation of 12 inches. What is the probability that the mean annual precipitation during 36 randomly picked years will be less than 109.8 inches? A) 0.5808 B) 0.0808 C) 0.9192 D) 0.4192 4) The weights of the fish in a certain lake are normally distributed with a mean of 15 lb and a 4) standard deviation of 6. If 4 fish are randomly selected, what is the probability that the mean weight will be between 12.6 and 18.6 lb? A) 0.4032 B) 0.0968 C) 0.3270 D) 0.6730

          For the circled questions, show all your work. Write on these pages only, on the backs if necessary. There is one point for each circled question (a show work question), and one point for each of the noncircled ones. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Assume that X has a normal distribution, and find the indicated probability. 1) The mean is ?= 15.2 and the standard deviation is ? = 0.9. 1) Find the probability that X is greater than 16.1. A) 0.1357 B) 0.1587 C) 0.8413 D) 0.1550 Solve the problem. Round to the nearest hundredth. 2) The weights of certain machine components are normally distributed with a mean of 8.57 g and a 2) standard deviation of 0.1 g. Find the weight that separates the top 3% from the rest. This weight could serve as a limit used to identify which components should be rejected. Round to the nearest hundredth of a gram. A) 8.59 g B) 8.62 g C) 8.84 g D) 8.76 g Solve the problem. 3) The annual precipitation amounts in a certain mountain range are normally distributed with a 3) mean of 107 inches, and a standard deviation of 12 inches. What is the probability that the mean annual precipitation during 36 randomly picked years will be less than 109.8 inches? A) 0.5808 B) 0.0808 C) 0.9192 D) 0.4192 4) The weights of the fish in a certain lake are normally distributed with a mean of 15 lb and a 4) standard deviation of 6. If 4 fish are randomly selected, what is the probability that the mean weight will be between 12.6 and 18.6 lb? A) 0.4032 B) 0.0968 C) 0.3270 D) 0.6730

For the circled questions, show all your work. Write on these pages only, on the backs if necessary. There is one point for each circled question (a show work question), and one point for each of the noncircled ones. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Assume that X has a normal distribution, and find the indicated probability. 1) The mean is ?= 15.2 and the standard deviation is ? = 0.9. 1) Find the probability that X is greater than 16.1. A) 0.1357 B) 0.1587 C) 0.8413 D) 0.1550 Solve the problem. Round to the nearest hundredth. 2) The weights of certain machine components are normally distributed with a mean of 8.57 g and a 2) standard deviation of 0.1 g. Find the weight that separates the top 3% from the rest. This weight could serve as a limit used to identify which components should be rejected. Round to the nearest hundredth of a gram. A) 8.59 g B) 8.62 g C) 8.84 g D) 8.76 g Solve the problem. 3) The annual precipitation amounts in a certain mountain range are normally distributed with a 3) mean of 107 inches, and a standard deviation of 12 inches. What is the probability that the mean annual precipitation during 36 randomly picked years will be less than 109.8 inches? A) 0.5808 B) 0.0808 C) 0.9192 D) 0.4192 4) The weights of the fish in a certain lake are normally distributed with a mean of 15 lb and a 4) standard deviation of 6. If 4 fish are randomly selected, what is the probability that the mean weight will be between 12.6 and 18.6 lb? A) 0.4032 B) 0.0968 C) 0.3270 D) 0.6730

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