Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Enter a number. Round your answer to four decimal places.)
μ = 28; σ = 4.4 P(x ≥ 30) =
Solution :
Given that,
mean =
= 28
standard deviation =
=4.4
P (x
30 )
= 1 - P (x
30 )
= 1 - P ( x - /
)
( 30 - 28 /4.4)
= 1 - P ( z
2 / 4.4 )
= 1 - P ( z
0.45)
Using z table
= 1 - 0.6736
= 0.3264
Probability = 0.3264
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