Let x be normal distribution with mean 70 and standard deviation 2. given the following probability, p (x < a) = 0.9147, find

Question

2 years ago

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the value a.

1 answer:

lapo4ka [179] · Answer 1 · 2023-05-12T10:33:05+03:00

The value of a is 72.74.

<h3>What is Probability ?</h3>

Probability is the study of likeliness of an event to happen.

It is given that

The mean $\rm \mu$ of the distribution is 70

Standard deviation $\rm \sigma$ is 2

p( x<a) = 0.9147

a = ?

From Z table

For p ( p < 0.9147) , z = 1.37

$\rm Z = \dfrac { X - \mu}{ \sigma}$

$\rm \rm 1.37 = \dfrac { a - 70}{ 2}$

a = 70+ 2*1.37

a = 72.74

Therefore the value of a is 72.74.

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