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Random variable is normally distributed...

Random variable is normally distributed with a mean of μ = 50 and a standard deviation of σ = 5.

What is the probability the random variable will assume a value between 45 and 55 (to 4 decimals)?

What is the probability the random variable will assume a value between 40 and 60 (to 4 decimals)?

In an article about the cost of health care, Money magazine reported that a visit to a hospital emergency room for something as simple as a sore throat has a mean cost of $328 (Money, January 2009). Assume that the cost for this type of hospital emergency room visit is normally distributed with a standard deviation of $92. Answer the following questions about the cost of a hospital emergency room visit for this medical service.

What is the probability that the cost will be more than $500? (to 4 decimals)

What is the probability that the cost will be less than $250? (to 4 decimals)

What is the probability that the cost will be between $300 and $400? (in inches, to 4 decimals)

If the cost to a patient is in the lower 8% of charges for this medical service, what was the cost of this patient’s emergency room visit? (to 2 decimals)

{Exercise 6.21}

A person must score in the upper 2% of the population on an IQ test to qualify for membership in Mensa, the international high-IQ society (US Airways Attache, September 2000).

If IQ scores are normally distributed with a mean of 100 and a standard deviation of 15, what score must a person have to qualify for Mensa (to the nearest whole number)?

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