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 = 14.0; σ = 4.2 P(10 ≤ x ≤ 26)
Solution:
Given that,
mean = = 14.0
standard deviation = = 4.2
p ( 10 x 26 )
= p ( 10- 14.0 / 4 .2) ( x - / ) ( 26 - 14.0 / 4.2 )
= p ( - 4 / 4.2 z 12 / 4.2)
= p (- 0.95 z 2.86 )
= p (z 2.86 ) - p ( z - 0.95 )
Using z table
= 0.9979 - 0.1711
= 0.8268
Probability = 0.8268
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