Question

Suppose that the random variable x is normally distributed with μ = 1,000 and standard deviation σ = 100.

Find each of the following probabilities. Round your z-score calculations to 2 decimal places. Provide your probability answers to 4 decimal places.
P( x > 1257)

Answer 1

P(x > 1257) is approximately 0.0059 or 0.006 (rounded to 4 decimal places).

Explanation:

z = (x - μ) / σ

z = (1257 - 1000) / 100 = 2.57

- the probability associated with a z-score of 2.57.

- The probability P(z > 2.57) is approximately 0.0059.