In: Statistics and Probability
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 = 5.0; σ = 0.8
P(7 ≤ x ≤ 9) =
Solution :
Given that ,
mean = = 5.0
standard deviation = = 0.8
= P[(7 - 5.0 / 0.8) (x - ) / (9 - 5.0 / 0.8) ]
= P(2.5 z 5)
= P(z 5) - P(z 2.5)
= 1 - 0.9938
= 0.0062
P(7 x 9) = 0.0062