Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) A USE SALT u = 52; o = 13 P(40 sxs 47) =

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**Probability and Normal Distribution**

Assume that \( x \) has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)

- **Mean (\( \mu \))**: 52
- **Standard Deviation (\( \sigma \))**: 13

Calculate the probability of the event: \( P(40 \leq x \leq 47) = \_\_\_\_\_\_ \)

There is a button labeled "USE SALT" above the problem, likely indicating a tool or feature to aid in solving the problem. Note that the probability calculation requires the use of normal distribution tables or computational tools to find the area under the normal curve between the specified limits.
Transcribed Image Text:**Probability and Normal Distribution** Assume that \( x \) has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) - **Mean (\( \mu \))**: 52 - **Standard Deviation (\( \sigma \))**: 13 Calculate the probability of the event: \( P(40 \leq x \leq 47) = \_\_\_\_\_\_ \) There is a button labeled "USE SALT" above the problem, likely indicating a tool or feature to aid in solving the problem. Note that the probability calculation requires the use of normal distribution tables or computational tools to find the area under the normal curve between the specified limits.
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