transcript Suppose that the time, in hours, required to repair a heat pump is a random variabile X having a gamma distribution with parameters a 2 and D- What is the probability that on the next service (a) at most 1 hour will be required to repair the heat pump? (b) at least 3 hours will be required to repair the heat pump? (a) The probability at most 1 hour will be required is (Round to four decimal places as needed.)

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Q: Assume that ? is a random variable has a gamma distribution with (alpha) = 3 and (beta) = 10. A)…

A: Here alpha = 3 , beta = 10 Mean = 3×10 = 30 Standard deviation = 10 √3 = 17.32

Q: S Suppose that the time (in hours) required to repair a machine is an exponentially distributed…

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A: Note: Hi there! Thank you for posting the question. As there are multiple sub parts, according to…

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Q: Suppose that the time (in hours) required to repair a machine is an exponentially distributed random…

A: The probability density function of exponential distribution is given by

Q: Blood type AB is found in only 3% of the population.† If 200 people are chosen at random, find the…

A: We have given thatn = 200p = 3% = 0.03X ~Binomial(n, p) X ~ Binomial (200, 0.03)

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A: I have provided the solution below please do refer it.Explanation:Solution

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Q: 16. (BONUS) Use Chebyshev's Theorem to find the following probability. If u = 5, o? = 9. Assume x…

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Q: 1. Assume that Z is a standard normal random variable (i.e., it is a normal random variable with…

A: It is an important part of statistics. It is widely used.

Q: Suppose that the time (in hours) required to repair a machine is an exponentially distributed random…

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Q: Blood type AB is found in only 3% of the population†. If 215 people are chosen at random, find the…

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Q: In country X, 41% of the adult population is nearsighted. If four people from this country are…

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Q: Let x be a random variable that represents the weights in kilograms (kg) of healthy adult female…

A: a) mean = 62 Standard deviation = 9 P(X < 53) = P(X <(53 -62 )/79) = P (Z<-1) =0.15866 p…

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A: Power or the test = 1-β, where β is type 2 error.

Q: Let x be a random variable that represents the weights in kilograms (kg) of healthy adult female…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

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Q: The life X in months of a certain light bulb is a random variable with exponential density. What is…

A: The mean is 20.

Q: Let x be a random variable that represents the weights in kilograms (kg) of healthy adult female…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

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Q: Suppose a random variable x is best described by a uniform probability distribution with range 2 to…

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