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Suppose that the heights of adult women are normally distributed with b = 65 inches and
o= 2.5 inches. Find the probability that a randomly chosen woman is taller than 65 inches.

Respuesta :

Ashraf82

The probability of a randomly chosen woman taller than 65 inches is 0.5

Step-by-step explanation:

To find the probability of a random variable X which has a normal distribution do that

  • If X > b, find the z-score using the formula z = (b - μ)/σ, where μ is the mean and σ is the standard deviation
  • Use the normal distribution table of z to find the corresponding area to the right of z-score (Area to the right = 1 - area to the left)

∵ The heights of adult women are normally distributed with

    μ = 65 inches

∵ σ = 2.5 inches

- We need to find the probability of the woman taller than 65 inches

∵ X > 65

∴ b = 65

- Find z-score

∵ [tex]z=\frac{65-65}{2.5}=0[/tex]

- Use the normal distribution table to find the area corresponding to z

∵ The corresponding area of z = 0 is 0.5

- Area to the right = 1 - area to the left

∴ P(x > 65) = 1 - 0.5 = 0.5

The probability of a randomly chosen woman taller than 65 inches is 0.5

Learn more:

You can learn more about the probability in brainly.com/question/4625002

#LearnwithBrainly

Answer: .5

Step-by-step explanation:

Got it right on edg :)

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