You may need to use the appropriate appendix table to answer this question. According to Money magazine, Maryland had the highest median annual household income of any state in 2018 at $75,847.† Assume that annual household income in Maryland follows a normal distribution with a median of $75,847 and standard deviation of $33,800. (a) What is the probability that a household in Maryland has an annual income of $110,000 or more? (Round your answer to four decimal places.)   (b) What is the probability that a household in Maryland has an annual income of $50,000 or less? (Round your answer to four decimal places.)   (c) What is the probability that a household in Maryland has an annual income between $60,000 and $70,000? (Round your answer to four decimal places.)   (d) What is the annual income (in $) of a household in the ninety-first percentile of annual household income in Maryland? (Round your answer to the nearest cent.) $

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A: We have:

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A:

Q: 5. According to the Boston Globe in 2012, a typical college student graduated with $27,200 of debt.…

A: The mean is $27,200 and the standard deviation is $25,000.

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A: Let us denote X= price of a carGiven that X follows a normal distribution with mean=22000 and…

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A:

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A: From the provided information,

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A: Mean = 243 feet SD = 54 feet Find the value of z to get answers.

Q: The owner of a computer repair shop has determined that their daily revenue has mean $7200 and…

A: We have given that  Mean(µ) = 7200Standard deviations (σ) = 1200 Number of days (n) = 30

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A:

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A:

Q: The average sales price of a single-family house in the United States is $235,000. You randomly…

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A:

Q: Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed…

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Q: Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed…

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Q: Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed…

A:

Q: The Real Estate Group NY reports that the mean monthly rent for a one-bedroom apartment without a…

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A:

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Q: According to the Centers of Disease Control and Prevention (CDC), the aging of the U.S. population…

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Q: Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed…

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A: It is given that the mean is 100 and standard deviation is 15.

Q: Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed…

A:

Q: According to Money magazine, Maryland had the highest median annual household income of any state in…

A: Policy: Since you have posted a question with multiple sub-parts, we will solve first three subparts…

Q: rice of a single-family house in the U.S. is $235,500. you randomly select 12 single family houses.…

A: the average sales price of a single-family house in the U.S. is $235,500. you randomly select 12…

Q: Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed…

A: Given data,Mean μ=247sd    σ=53

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!