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let x be a normally distributed random variable with mean 5 and standard deviation 15. please express your answer as a number between 0 and 100. if you want to write 52%, please enter 52. what is the probability that x is less than or equal to 38?

Respuesta :

The probability that x is less than or equal to 38 is 0.9861.

For a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.

First, solve for the z-score using the formula below.

z-score = (x – μ) / σ

where x = individual data value = 38

μ = mean = 5

σ = standard deviation = 15

z-score = (38 - 5) / 15

z-score = 33 / 15

z-score = 2.2

Find the probability that corresponds to the z-score in the z-table. (see attached images)

z-score =  2.2

probability = 0.9861

Learn more about probability here: brainly.com/question/26822684

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