Question

Let x be a continuous random variable that follows a normal distribution with a mean of 200 and a standard deviation 25.

Find the value of x so that the area under the normal curve between ì and x is approximately 0.4798 and the value of x is greater than ì.

Answer 1

z = (x - μ) / σ

2.05 (x-200)/25

(25)(2.05) = x -200

51.25 = x - 200

51.25 + 200 = x -200+ 200

x = 251.25