Scores on a test are normally distributed with a mean of 200 and a standard deviation of 12. Find each probability

Respuesta :

Complete question is;

Scores on a test are normally distributed with a mean of 200 and a standard deviation of 12. Find the probability that a randomly selected student scored less than 218.

Answer:

0.93

Step-by-step explanation:

We are given;

Mean; μ = 200

Standard deviation; σ = 12

Random value; x¯ = 218

Z-score formula is;

z = (x¯ - μ)/σ

z = (218 - 200)/12

z = 18/12

z = 1.5

From z-table, attached, probability = 0.93

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