A study discovered that Americans consumed an average of 12.4 pounds of chocolate per year. Assume that the annual chocolate consumption follows the normal distribution with a standard deviation of 3.2 pounds. Complete parts a through e below. 0.1446 (Round to four decimal places as needed.) b. What is the probability that an American will consume more than 11 pounds of chocolate next year? 0.6691 (Round to four decimal places as needed.) c. What is the probability that an American will consume between 10 and 13 pounds of chocolate next year? 0.3477 (Round to four decimal places as needed.) d. What is the probability that an American will consume exactly 12 pounds of chocolate next year? 0 (Round to four decimal places as needed.)

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Q: Assume that adults have IQ scores that are normally distributed with a mean of µ= 100 and a standard…

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Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard…

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A:

Q: A data set lists weights (lb) of plastic discarded by households. The highest weight is 5.67 lb, the…

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Q: The average number of days absent per student per year at West Valley School is 17 days with a…

A: mean = μ = 17standard deviation = σ = 4

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Q: The distribution of head circumference for full term newborn female infants is approximately normal…

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Q: Seattle, Washington, averages m=34 inches of annual precipitation. Assuming that the distribution of…

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Q: Assume that adults have IQ scores that are normally distributed with a mean of u = 100 and a…

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Q: Assume that adults have IQ scores that are normally distributed with a mean of μ = 100 and a…

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Q: The middle 50% of the heights are between what two values? Round to one decimal place.

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Q: Assume that adults have IQ scores that are normally distributed with a mean of u = 105 and a…

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Q: Assume that adults have IQ scores that are normally distributed with a mean of u = 100 and a…

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Q: Assume that adults have IQ scores that are normally distributed with a mean of μ = 105 and a…

A: μ=105 Sd=20 P( 85<x<125)=?

Q: normally distributed data set has

A: Given that a normally distributed data set has a mean of 0 and a standard deviation of 2.

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!