X has a normal distribution with the given mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)
μ = 39, σ = 20, find
P(34 ≤ X ≤ 46)
Solution :
Given that ,
mean =
= 39
standard deviation =
=20
P(34 ≤ X ≤ 46) = P[(34-39) /
20< (x -
) /
< (46-39) /20 )]
= P( -0.5< Z <0.35 )
= P(Z <0.35 ) - P(Z <-0.5 )
Using z table
= 0.6368 - 0.3085
probability= 0.3283
X has a normal distribution with the given mean and standard deviation. Find the indicated probability....
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Assume that x has a...