Applying the continuity correction to use the normal approximation to the binomial distribution, it was determined that the requested probability is P(34.5 ≤ x ≤ 40.5). Recall the formula to convert a random variable x to the standard normal random variable, z, given the mean μ, and standard deviation . Recall that the mean was found to be μ = 30, and the standard deviation was found to be a = √24. Calculate the standard normal random variable z for the lower bound x = 34.5, rounding the result to two decimal places. = Z = X-H σ z = = x-μ O x-μ √24 34.5- Calculate the standard normal random variable z for the upper bound x = 40.5, rounding the result to two decimal places. √24 x-μ o x-μ √24 40.5- √24

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Applying the continuity correction to use the normal approximation to the binomial distribution, it was determined that the requested probability is P(34.5 ≤ x ≤ 40.5). Recall the formula to convert a random
variable x to the standard normal random variable, z, given the mean μ, and standard deviation o.
7 =
Recall that the mean was found to be μ = 30, and the standard deviation was found to be o = √24. Calculate the standard normal random variable z for the lower bound x = 34.5, rounding the result to two
decimal places.
=
Z =
z =
x-μ
σ
x-μ
√24
34.5
=
х-м
o
Calculate the standard normal random variable z for the upper bound x = 40.5, rounding the result to two decimal places.
x-μ
J
x-μ
√24
40.5 -
√24
√24
Transcribed Image Text:Applying the continuity correction to use the normal approximation to the binomial distribution, it was determined that the requested probability is P(34.5 ≤ x ≤ 40.5). Recall the formula to convert a random variable x to the standard normal random variable, z, given the mean μ, and standard deviation o. 7 = Recall that the mean was found to be μ = 30, and the standard deviation was found to be o = √24. Calculate the standard normal random variable z for the lower bound x = 34.5, rounding the result to two decimal places. = Z = z = x-μ σ x-μ √24 34.5 = х-м o Calculate the standard normal random variable z for the upper bound x = 40.5, rounding the result to two decimal places. x-μ J x-μ √24 40.5 - √24 √24
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