Question

Assume that the random variable X is normally distributed with mean p = 60 and standard deviation o= 8. Compute the probability P(X <70). 0.1056 0.9015 0.8849 0.8944

Answer 1

Solution :

Given that,

mean = $\mu$ = 60

standard deviation = $\sigma$ = 8

P( x < 70 )

P ( x - $\mu$ / $\sigma$ ) < ( 70 - 60 / 8 )

P ( z < 10 / 8 )

P ( z < 1.25 )

= 0.8944

Probability = 0.8944

Option 0.8944 is correct.