Question

Find P(x > 120) provided that it is known that

Answer 1

The probability when x is greater than 120 is 0.0367. Then the correct option is D.

What is a normal distribution?

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The mean is 95 and the standard deviation is 14. Then the probability when x > 120 will be

The z-score will be

z = (120 - 95)/ 14

z = 1.7857

Then the probability will be

P(x > 120) = P(z > 1.7857)

P(x > 120) = 1 - P(x<120)

P(x > 120) = 1 - 0.96293

P(x > 120) = 0.0367

More about the normal distribution link is given below.

brainly.com/question/12421652

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