In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 69.7 inches and a standard deviation of 2.0 inches. A study participant is randomly selected. Complete parts (a) through (d) below. (a) Find the probability that a study participant has a height that is less than 65 inches. The probability that the study participant selected at random is less than 65 inches tall is. (Round to four decimal places as needed.) (b) Find the probability that a study participant has a height that is between 65 and 71 inches. (Round to four decimal places as needed.) The probability that the study participant selected at random is between 65 and 71 inches tall is (c) Find the probability that a study participant has a height that is more than 71 inches. The probability that the study participant selected at random is more than 71 inches tall is. (Round to four decimal places as needed.) (d) Identify any unusual events. Explain your reasoning. Choose the correct answer below. O A. The event in part (b) is unusual because its probability is less than 0.05. O B. The events in parts (b) and (c) are unusual because its probabilities are less than 0.05, O C. None of the events are unusual because all the probabilities are greater than 0.05. Click to select your answer(s).

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In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 69.7 inches and a standard deviation of 2.0 inches. A study
participant is randomly selected. Complete parts (a) through (d) below.
(a) Find the probability that a study participant has a height that is less than 65 inches.
(Round to four decimal places as needed.)
The probability that the study participant selected at random is less than 65 inches tall is
(b) Find the probability that a study participant has a height that is between 65 and 71 inches.
The probability that the study participant selected at random is between 65 and 71 inches tall is. (Round to four decimal places as needed)
(c) Find the probability that a study participant has a height that is more than 71 inches.
(Round to four decimal places as needed.)
The probability that the study participant selected at random is more than 71 inches tall is
(d) Identify any unusual events. Explain your reasoning. Choose the correct answer below.
O A. The event in part (b) is unusual because its probability is less than 0.05.
O B. The events in parts (b) and (c) are unusual because its probabilities are less than 0.05.
O C. None of the events are unusual because all the probabilities are greater than 0.05.
Click to select your answer(s).
Video Tutorial: How to Finda P-Value for a Z-test Using the TI-84
a
Co search
insert
E
Y
D
K
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USE YO
Transcribed Image Text:In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 69.7 inches and a standard deviation of 2.0 inches. A study participant is randomly selected. Complete parts (a) through (d) below. (a) Find the probability that a study participant has a height that is less than 65 inches. (Round to four decimal places as needed.) The probability that the study participant selected at random is less than 65 inches tall is (b) Find the probability that a study participant has a height that is between 65 and 71 inches. The probability that the study participant selected at random is between 65 and 71 inches tall is. (Round to four decimal places as needed) (c) Find the probability that a study participant has a height that is more than 71 inches. (Round to four decimal places as needed.) The probability that the study participant selected at random is more than 71 inches tall is (d) Identify any unusual events. Explain your reasoning. Choose the correct answer below. O A. The event in part (b) is unusual because its probability is less than 0.05. O B. The events in parts (b) and (c) are unusual because its probabilities are less than 0.05. O C. None of the events are unusual because all the probabilities are greater than 0.05. Click to select your answer(s). Video Tutorial: How to Finda P-Value for a Z-test Using the TI-84 a Co search insert E Y D K alt USE YO
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