Given the normally distributed variable X with mean 21 and standard deviation 2.5, find (a) P(X<18); (b) the value of k such that P(X k) = 0.1788; (d) P(17

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Given the normally distributed variable X with mean 21 and standard deviation 2.5, find
(a) P(X<18);
(b) the value of k such that P(X<k) = 0.2912;
(c) the value of k such that P(X> k) = 0.1788;
(d) P(17< X<24).
Click here to view page 1 of the standard normal distribution table.
Click here to view page 2 of the standard normal distribution table.
(a) P(X<18) = .1151
(Round to four decimal places as needed.)
(b) k=
(Round to two decimal places as needed.)
Transcribed Image Text:Given the normally distributed variable X with mean 21 and standard deviation 2.5, find (a) P(X<18); (b) the value of k such that P(X<k) = 0.2912; (c) the value of k such that P(X> k) = 0.1788; (d) P(17< X<24). Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) P(X<18) = .1151 (Round to four decimal places as needed.) (b) k= (Round to two decimal places as needed.)
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