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