Question

Assume the random variable X is normally distributed with mean μ=50 and standard deviation σ=7.

Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded.

What is P(56 ≤ X ≤ 66) ?

Answer #1

Solution :

Given that ,

mean = = 50

standard deviation = = 7

= P[56 - 50( / 7) (x - ) / (66 - 50 / 7) ]

= P(0.8571 z 2.2857)

= P(z 2.2857) - P(z 0.8571)

= 0.9889 - 0.8043

= 0.1846

P(56
x
66) = **0.1846**

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