1.A 100-watt light bulb has an average brightness of 1640 lumens, with a standarddeviation of 62 lumens.a. What is the probability that a 100-watt light bulb will have a brightness morethan 1800 lumens?b. What is the probability that a 100-watt light bulb will hthan 1550 lumens?c. What is the probability that a 100-watt light bulb will have a brightnessbetween 1600 and 1700 lumens?

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Answered: 1. A 100-watt light bulb has an average…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Males in the Netherlands are the tallest, on average, in the world with an average height of 183 centimeters (cm) (BBC News website). Assume that the height of men in the Netherlands is normally distributed with a mean of 183 cm and standard deviation of 10.5 cm. a. What is the probability that a Dutch male is shorter than 175 cm (to 4 decimals)? b. What is the probability that a Dutch male is taller than 195 cm (to 4 decimals)? c. What is the probability that a Dutch male is between 173 and 193 cm (to 4 decimals)? d. Out of a random sample of 1000 Dutch men, how many would we expect to be taller than 190 cm (rounded to the nearest whole number)?
Assume that the height of a type of tree has a normal probability distribution with a mean of 55.2 ft and a standard deviation of 5.7 ft.A tree of this type grows in my backyard and it stands 39.8 feet tall. Find the probability that the height of a randomly selected tree is as tall as mine or shorter.My neighbor also has a tree of this type growing in her backyard, but hers stands 68.3 feet tall. Find the probability that the full height of a randomly selected tree is at least as tall as hers.Enter your answers as decimals accurate to 3 decimal places.
A coffee vending machine is regulated so that it discharges an average of 200 milliliters per cup. If the amount of coffee is normally distributed with a standard deviation of 15 milliliters, answer the following.a. What fraction of the cups will contain more than 224 milliliters?b. What is the probability a cup contains between 190 and 210 milliliters?C. How many cups will overflow if 230-millilter drinks? cups are used for 1000 coffee drinks?
3. Thermometers in a freezer are normally distributed with a mean of 0 degrees and a standard deviation of 1. a.) What's the probability a thermometer reads 1.62 degrees or more? b.) What's the probability a thermometer reads 2.21 degrees or less? c.) What's the probability a thermometer reads between-1.32 and 1.84 degrees?
Suppose that the average number of hours a personal computer is used for entertainment is two hours per day. Assume the times for entertainment are normally distribued and the standard deviation is half an hour. Find the probability that a personal computer is used for entertainment more than 1 hour per day Find the probability that a personal computer is used for entertainment more than 4 hours per day Find the probability that a personal computer is used for entertainment between 1 and 4 hours per day
2) A biologist found that Grizzly Bears have a mean weight of 945 pounds with standard deviation of 88 pounds. a) Find the probability that the weight of a Grizzly Bear would be over 1100 pounds. b) Find the probability that the mean weight of 7 Grizzly Bears would be over 1000 pounds. c) Find the probability that the weight of a Grizzly Bear would be between 800 pounds and 1000 pounds. d) How heavy would a Grizzly Bear need to be in order to be in the top 5%?
An executive drives from her home to her office in the city. The driving times are normally distributed with a mean of 35 minutes and a standard deviation of 8 minutes. a). What is probability it will take her 30 minutes or less to drive to work? b.) What is the probability that it will take her 40 minutes or more to drive to work? c.) How long will the longest 10 percent of the trips take!"?
The maternity ward at a certain hospital in a certain country in Africa is one of the busiest in the world with an average of 60 births per day. Let X= the number of births in an hour. Find the mean and standard deviation of X. What is the probability that the maternity ward will deliver three babies in one hour? What is the probability that the maternity ward will deliver at most three babies in one hour? What is the probability that the maternity ward will deliver more than five babies in one hour?
Suppose that heights of women at UT Tyler are normally distributed with a mean of 64 inches and a standard deviation of 2.4 inches. Find the probability that a collection of 16 women have an average height less than 62 inches tall.
A government sample survey plans to measure the total cholesterol level of an SRS of men aged 20-34. suppose that, in fact, the total cholesterol level of men aged 20-34 follows the normal distribution with a mean of 182 milligrams per deciliter. The standard deviation is 37 milligrams per deciliter. choose an SRS of 1000 men from this population. Now what is the probability that x falls within + or - 2 milligrams per deciliter of the mean?
A Nielsen Company report states that the mean number of TV sets in a U.S. household is 2.24. Assume the standard deviation is 1.2. (Provide your answer with four decimal places) A. If a household is selected at random what is the probability that the number of TV sets is greater than 2 in that household? B.If a sample of 64 households selected what is the probability that the sample mean number of TV sets is greater than 2?
The average number of acres burned by forest and range fires in a large county is 3,900 acres per year, with a standard deviation of 550 acres. The distribution of the number of acres burned is normal. a. Compute the probability that more than 4,000 acres will be burned in any year. b. Determine the probability that fewer than 3,000 acres will be burned in any year. C. What is the probability that between 1,500 and 3,500 acres will be burned? d. In those years when more than 4,500 acres are burned, help is needed from eastern-region fire teams. Determine the probability help will be needed in any year. a. The probability that more than 4,000 acres will be burned is (Round to four decimal places as needed.) b. The probability that fewer than 3,000 acres will be burned is (Round to four decimal places as needed.) c. The probability that between 1,500 and 3,500 acres will be burned is (Round to four decimal places as needed.) d. The probability help will be needed is (Round to four…

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