Question

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* = 18; *σ* = 3.4

*P*(*x* ≥ 30) =

Answer #1

Solution :

Given that,

mean = = 18

P (x 30 )

= 1 - P (x 30 )

= 1 - P ( x - / ) ( 30 - 18 / 3.4 )

= 1 - P ( z 12 / 3.4 )

= 1 - P ( z 3.53 )

Using z table

= 1 - 0.9998

= 0.0002

Probability = 0.0002

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