(a) Find the probability that a study participant has a height that is less than 67 inches. The probability that the study participant selected at random is less than 67 inches tall is 0.3632. (Round to four decimal places as needed.) (b) Find the probability that a study participant has a height that is between 67 and 70 indches. The probability that the study participant selected at random is between 67 and 70 inches tall is 0.5118. (Round to four decimal places as needed.) (c) Find the probability that a study participant has a height that is more than 70 inches. The probability that the study participant selected at random is more than 70 inches tall is 0.1251. (Round to four decimal places as needed.) (d) Identify any unusual events. Explain your reasoning. Choose the correct answer below. A. The events in parts (a), (b), and (c) are unusual because all of their probabilitios are less than 0.05. O B. The events in parts (a) and (c) are unusual because its probabilities are less than 0.05. O C. There are no unusual events because all the probabilities are greater than 0.05. O D. The event in part (a) is unusual because its probability is less than 0.05.

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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In a survey of a group of men, the heights in the 20-29 age group were nomally distributed, with a mean of 67.7 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 67 inches.
The probability that the study participant selected at random is less than 67 inches tall is 0.3632. (Round to four decimal places as needed.)
(b) Find the probability that a study participant has a height that is between 67 and 70 inches.
The probability that the study participant selected at random is between 67 and 70 inches tall is 0.5118. (Round to four decimal places as needed.)
(c) Find the probability that a study participant has a height that is more than 70 inches.
The probability that the study participant selected at random is more than 70 inches tall is 0.1251. (Round to four decimal places as needed.)
(d) Identify any unusual events. Explain your reasoning. ChOose the correct answer below.
O A. The events in parts (a), (b), and (c) are unusual because all of their probabilities are less than 0.05.
O B. The events in parts (a) and (c) are unusual because its probabilities are less than 0.05.
OC. There are no unusual events because all the probabilities are greater than 0.05.
O D. The event in part (a) is unusual because its probability is less than 0.05.
Transcribed Image Text:In a survey of a group of men, the heights in the 20-29 age group were nomally distributed, with a mean of 67.7 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 67 inches. The probability that the study participant selected at random is less than 67 inches tall is 0.3632. (Round to four decimal places as needed.) (b) Find the probability that a study participant has a height that is between 67 and 70 inches. The probability that the study participant selected at random is between 67 and 70 inches tall is 0.5118. (Round to four decimal places as needed.) (c) Find the probability that a study participant has a height that is more than 70 inches. The probability that the study participant selected at random is more than 70 inches tall is 0.1251. (Round to four decimal places as needed.) (d) Identify any unusual events. Explain your reasoning. ChOose the correct answer below. O A. The events in parts (a), (b), and (c) are unusual because all of their probabilities are less than 0.05. O B. The events in parts (a) and (c) are unusual because its probabilities are less than 0.05. OC. There are no unusual events because all the probabilities are greater than 0.05. O D. The event in part (a) is unusual because its probability is less than 0.05.
Expert Solution
Step 1

here mean  = 67.7 inch

standard deviation  = 2 inch

x= height of male

here use standard normal distribution table for probability from calculated z score

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