21 The life of a drill bit has a mean of 16 hours and a standard deviation of 2-6 hours. Assuming a normal distribution, determine the probability of a sample bit lasting for: (a) more than 20 hours (b) fewer than 14 hours

Q: Suppose that the breaking strength of a rope (in pounds) is normally distributed, with a mean of 100…

A: GivenMean(μ) = 100standard deviation(σ) = 13

Q: Suppose that the breaking strength of a rope (in pounds) is normally distributed, with a mean of 100…

A: The normal distribution:A continuous random variable X is said to follow normal distribution with…

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Q: Suppose that the breaking strength of a rope (in pounds) is normally distributed, with a mean of 100…

A: Suppose that the breaking strength of a rope (in pounds) is normally distributed, with a mean of 100…

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A: Given that mean = μ = 160Standard deviation = σ = 20n = 5μx = μ= 160

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Q: b. The weekly amount spent for maintenance and repairs in a certain company was observed, over a…

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Q: ii. The mean number of miles driven per vehicle annually in the United States is 12,494 miles.…

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Q: Cititon Forest contains a population of 326 chupacabra, whose masses have a mean of 30.2 kg and a…

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Q: 16) A normal population has a mean of 70 and a standard deviation of 5. What is the probability that…

A: The mean and standard deviation are 70 and 5.

Q: 1. Given a normal distribution with a standard deviation of 14, what is the mean if 40% of the…

A: Solution: See the hand written solution

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A: The probability a particular tire of this brand will last longer than 57,900 miles is,

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A: We need to use the concept of normal distribution to answer this question.

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Q: Suppose that the breaking strength of a rope (in pounds) is normally distributed, with a mean of 100…

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A: Given data,μ=21σ=10P(15<X<25)=?

Q: Suppose that the breaking strength of a rope (in pounds) is normally distributed, with a mean of 100…

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Q: Jumbo shrimp are those that require 10–15 shrimp to make a pound. Suppose that the number of jumbo…

A: Z = M-μσn~ N(0,1)

Q: The life of a drill bit has a mean of 16 hours and a standard deviation of 2-6 hours. Assuming a…

A: Given data,μ=16σ=2.6

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Q: 21. The life of a drill bit has a mean of 16 hours and a standard deviation of 2-6 hours. Assuming a…

A:

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Q: c) An engineering company manufactures a product with a mean of 48,000 and a standard deviation of…

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Q: The high temperature xx (in degrees Fahrenheit) on January days in Columbus, Ohio, varies according…

A: Given Mean=19 Standard deviations=7

Q: Traveling between two campuses of a university in acity  via shuttle bus takes, on average, 28…

A: Let us denote X=the time for traveling between two campuses of a university in a city via shuttle…

Q: 3. For males in a certain town, the systolic blood pressure is normally distributed with a mean of…

A: Note: Since you have posted a question with multiple subparts, we will solve the first three…

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!