A normal distribution has a mean of 32 and a standard deviation of 4. Find the probability that a randomly selected xx -value from the distribution is at most 35. Round to four decimal places.

A normal distribution has a mean of 32 and a standard deviation of 4. Find the probability that a randomly selected xx -value from the distribution is at most 35. Round to four decimal places.

Question
Probability
asked 2021-02-03
A normal distribution has a mean of 32 and a standard deviation of 4. Find the probability that a randomly selected xx -value from the distribution is at most 35. Round to four decimal places.

Answers (1)

2021-02-04
To find the probability of a selected x-value being at most 35, you need to find the corresponding z-score and then use a z-score table. The area below the curve for the z-score is then the probability that the value will be at most 35.
To find the corresponding z-score, use the formula \(\displaystyle{z}=\frac{{{x}−μ}}{
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