Respuesta :
It would be 99%. If you draw the normal distribution curve and plot the mean and standard deviation, it might help you visually.
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The percentage of her phone bills are between 32 and 98 will be 99.73%.
What is the z-score?
The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The z-score is given as
z = (x – μ) / σ
Where μ is the mean, σ is the standard deviation, and x is the sample.
The amount of Jen's monthly phone bill is normally distributed with a mean of $65 and a standard deviation of 11.
Then the percentage of her phone bills are between 32 and 98 will be
The value of z-score for x = 32, we have
z = (32 – 65) / 11
z = –3
The value of z-score for x = 98, we have
z = (98 – 65) / 11
z = 3
Then the percentage will be
P(32 < x < 98) = P(-3 < z < 3) × 100
P(32 < x < 98) = 0.9973 × 100
P(32 < x < 98) = 99.73%
More about the z-score link is given below.
https://brainly.com/question/15016913
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