Ask Question
27 October, 08:43

The heights of all female college basketball players produce a normal distribution with a mean of 68 inches and a standard deviation of 2 inches. The probability that the height of a randomly selected female college basketball player is between 69 and 71 inches is:

+4
Answers (1)
  1. 27 October, 08:52
    0
    Answer: The probability that the height of a randomly selected female college basketball player is between 69 and 71 inches is 0.24

    Step-by-step explanation:

    Since the heights of all female college basketball players produce a normal distribution, we would apply the formula for normal distribution which is expressed as

    z = (x - µ) / σ

    Where

    x = heights of all female college basketball players.

    µ = mean height

    σ = standard deviation

    From the information given,

    µ = 68 inches

    σ = 2 inches

    We want to find the probability that the height of a randomly selected female college basketball player is between 69 and 71 inches is expressed as

    P (69 ≤ x ≤ 75)

    For x = 69,

    z = (69 - 68) / 2 = 0.5

    Looking at the normal distribution table, the probability corresponding to the z score is 0.6915

    For x = 71,

    z = (71 - 68) / 2 = 1.5

    Looking at the normal distribution table, the probability corresponding to the z score is 0.9332

    Therefore,

    P (69 ≤ x ≤ 75) = 0.9332 - 0.6915 = 0.24
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “The heights of all female college basketball players produce a normal distribution with a mean of 68 inches and a standard deviation of 2 ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers