Question

If the value of x for normal distribution is 35, the mean of normal distribution is 65 and the standard deviation is 25, then calculate the standardized random variable, and P(X < 35).

Answer 1

`Z=-1.2`

Explanation:

From the question we are told that:

Normal distribution
`x=35`

Mean of normal distribution
`\=x=65`

Standard normal distribution deviation
`\sigma= 25`

Generally the equation for standardized value is mathematically given by

`Z=(x-\=x)/(\sigma)`

`Z=(35-65)/(25)`

`Z=(35-65)/(25)`

`Z=-1.2`

Therefore the standardized value of x is

`Z=-1.2`