A survey was conducted to measure the heights of Filipino men. The heights of the respondents were found to be normally distributed, with a mean of 64.2 inches and a standard deviation of 1.7 inches. A study participant is randomly selected. . Find the probability that his height is less than 61.8 inches. 0.0793 0.0125 Find the probability that his height is more than 68 inches. • If there were a total of 500 respondents, how many of them are expected to be more than 68 inches tall? 6 men

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A survey was conducted to measure the heights of Filipino men. The heights of the respondents were found to
be normally distributed, with a mean of 64.2 inches and a standard deviation of 1.7 inches. A study participant
is randomly selected.
Find the probability that his height is less than 61.8 inches.
0.0793
.
Find the probability that his height is more than 68 inches. 0.0125
If there were a total of 500 respondents, how many of them are expected to be more than 68 inches tall?
6 men
V
.
Find the probability that his height is between 67 and 67.5 inches. 0.0233
●
How tall is the tallest among the shortest 65% of the respondents? Equivalently, if X is the height of a
respondent, find k such that P(X < k) = 0.65.
[Select]
Select
▸
64.9 inches tall
67.2 inches tall
65.2 inches tall
66.5 inches tall
Transcribed Image Text:A survey was conducted to measure the heights of Filipino men. The heights of the respondents were found to be normally distributed, with a mean of 64.2 inches and a standard deviation of 1.7 inches. A study participant is randomly selected. Find the probability that his height is less than 61.8 inches. 0.0793 . Find the probability that his height is more than 68 inches. 0.0125 If there were a total of 500 respondents, how many of them are expected to be more than 68 inches tall? 6 men V . Find the probability that his height is between 67 and 67.5 inches. 0.0233 ● How tall is the tallest among the shortest 65% of the respondents? Equivalently, if X is the height of a respondent, find k such that P(X < k) = 0.65. [Select] Select ▸ 64.9 inches tall 67.2 inches tall 65.2 inches tall 66.5 inches tall
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