Question

after collecting the data, raymond finds that the standardized test scores of the students in a school is normally distributed with mean 79 points and standard deviation 3 points. use the empirical rule to find the probability that a randomly selected student score is less than 85 points? enter your answer as a percent rounded to 2 decimal places if necessary. include the percent symbol % in your answer.

Answer 1

The probability that a randomly selected student score is less than 85 points is 97.72%

What is a normal distribution?

A normal distribution with a mean of 0 and a standard deviation of 1 is known as the standard normal distribution.

How to calculate normal distribution?

z = (x - mean)/standard deviation.

After that calculate the value from the normal distribution table.

First, we need to determine the value of z = (x - mean)/ standard deviation

mean = 79

standard deviation = 3

x = 85

then,

(85-79)/3

= 2

From a normal distribution table,

P(x<2) = 0.97725

Hence, the probability that a randomly selected student score is less than 85 points is 97.72%

To learn more about normal distribution from the given link

https://brainly.com/question/29050236

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