Question

Suppose that x is normally distributed with mean 80 and standard deviation 25. What is the probability that x is greater than 77. 5?

Answer 1

The probability that x is greater than 77. 5 is 0.039828

Given,

Mean, μ = 80

Standard deviation, σ = 25

We have to find z score corresponding to 77.5

z = (x-μ) / σ

   $=\frac{77.5-80}{25} \\= 0.1$

Now we have to find P value from Z table:

P(x<77.5) = 0.46017

P(x>77.5) = 1 - P(x<77.5) = 0.53983

P(77.5<x<80) = 0.5 - P(x<77.5) = 0.039828

The probability of x greater than 77.5 is 0.039828

Learn more about Probability from here: brainly.com/question/16177246

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