Assume that there is a sampling distribution of \bar{x} of size 34 and they are selected at random from a normally distributed with a mean of 45 and a standard deviation of 6.2. Find the probability that 1 randomly selected person has a value less than 40.

aflacatn 2021-02-25 Answered
Assume that there is a sampling distribution of x of size 34 and they are selected at random from a normally distributed with a mean of 45 and a standard deviation of 6.2.
Find the probability that 1 randomly selected person has a value less than 40.
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Expert Answer

Mitchel Aguirre
Answered 2021-02-26 Author has 94 answers

Here, XN(45,6.2).
The probability that a randomly selected person has a value less than 40 is calculated as follows:
P(X<40)=P(Xμσ<40456.2)
=P(z<0.81)[From the standard normal table, P(z<0.81)=0.2090]=0.2090
The probability that a randomly selected person has a value less than 40 is 0.2090.

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