Question

Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)

μ = 14.8; σ = 4.2

P(10 ≤ x ≤ 26) =

Answer 1

Solution :

Given that ,

mean = = 14.8

standard deviation = = 4.2

P( 10 x 26)

= P[(10 - 14.8 / 4.2) (x - ) / ( 26 - 14.8 / 4.2) ]

= P( -1.14 z 2.67)

= P(z 2.67) - P(z -1.14)

Using z table,  

= 0.9962 - 0.1271

= 0.8691