Problem 3. A recent study of the hourly wages of maintenance crew members for major airlines showed that the mean hourly salary was $20.5 with a standard deviation of $3.5. Assume that the hourly wages follow a normal distribution. If we select a crew member at random, what is the probability the worker earns: a. Between $20.5 and $24 per hour?

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Problem 3. A recent study of the hourly wages of maintenance crew members for
major airlines showed that the mean hourly salary was $20.5 with a standard deviation
of $3.5. Assume that the hourly wages follow a normal distribution. If we select a crew
member at random, what is the probability the worker earns:
a. Between $20.5 and $24 per hour?
Transcribed Image Text:Problem 3. A recent study of the hourly wages of maintenance crew members for major airlines showed that the mean hourly salary was $20.5 with a standard deviation of $3.5. Assume that the hourly wages follow a normal distribution. If we select a crew member at random, what is the probability the worker earns: a. Between $20.5 and $24 per hour?
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Let random variable X be the hourly salary(in$)X has normal distribution with mean(μ)=20.5 $ and standard deviation(σ)=3.5 $.i.e. X~N(μ,σ)=N(20.5,3.5)

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