SOLUTION: 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 = 14.6; σ =

Algebra ->  Probability-and-statistics -> SOLUTION: 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 = 14.6; σ =      Log On


   

Question 1153634: 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 = 14.6; σ = 2.9
P(8 ≤ x ≤ 12) =
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Since mu+=+4.3 anddelta+=+2.9 we have:

Since Z=x-mu%2Adelta , %288-4.3%29%2F2.9=1.28 and %2812-4.3%29%2F2.9=2.66 we have:
P+%28+8%3C=X%3C=12+%29=P+%28+1.28%3C=Z%3C=2.66+%29
Use the standard normal table to conclude that:
P+%28+1.28%3C=Z%3C=2.66+%29=433991789226877%2F4503599627370496=0.0963655≈0.0964