(b) What is the probability the random variable will assume a value between 45 and 55? (Round your answer to three decimal places.) (c) What is the probability the random variable will assume a value between 35 and 65? (Round your answer to three decimal places.)

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The text states: "A random variable is normally distributed with a mean of μ = 50 and a standard deviation of σ = 5." 

This description is referring to a normal distribution, which is a probability distribution that is symmetrical about the mean. In this case, the mean (average value) is 50, and the standard deviation (which measures the spread of the data) is 5. There are no graphs or diagrams accompanying this text.
Transcribed Image Text:The text states: "A random variable is normally distributed with a mean of μ = 50 and a standard deviation of σ = 5." This description is referring to a normal distribution, which is a probability distribution that is symmetrical about the mean. In this case, the mean (average value) is 50, and the standard deviation (which measures the spread of the data) is 5. There are no graphs or diagrams accompanying this text.
(b) What is the probability the random variable will assume a value between 45 and 55? (Round your answer to three decimal places.)

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(c) What is the probability the random variable will assume a value between 35 and 65? (Round your answer to three decimal places.)

[Input box]
Transcribed Image Text:(b) What is the probability the random variable will assume a value between 45 and 55? (Round your answer to three decimal places.) [Input box] (c) What is the probability the random variable will assume a value between 35 and 65? (Round your answer to three decimal places.) [Input box]
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