It is reasonable to model the number of winter storms in a season as with a Poisson random variable. Suppose that in a good year the average number of storms is 3, and that in a bad year the average is 4. If the probability that next year will be a good year is 0.4 and the probability that it will be bad is 0.6, find the expected value and variance in the number of storms that will occur. expected value = variance =

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Q: Give two ways to compute the variance of a continuous random variable.

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Q: A racing car consumes a mean of 103103 gallons of gas per race with a variance of 3636. If 3838…

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Q: Find the expected value of the above random variable.

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A: Solution: Given information: nA= 50  Sample size of company A nB= 100 Sample size of company  B μA=…

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Q: Find the mean and standard deviation  of this random variable.

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A: Given Data: Let X represent the height of the maple tree P(X<150)=0.3 σ=64=8

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Q: If the outcomes of a discrete random variable follow a Poisson distribution, then their: a. median…

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Q: If the sick leave time of employees in a firm in a month is normally distributed with a mean of 50…

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Q: Anna´s expenses for entertainment during a period of time can be described with a normally…

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Q: The expected value of a random variable X that is denoted by u is called its: O a. variance. O b.…

A: The expected value of random variable X that is denoted by mu is called ?

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Q: A racing car consumes a mean of 103103 gallons of gas per race with a variance of 3636. If 3838…

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Q: Two 5-year girls, Alyse and Jocelyn, have been training to run a 1-mile race. Alyse's 1 mile time A…

A: Given Mean=13.5 Standard deviations=2.5

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Q: Exercice 9: Suppose that the life span of the lamp posts in Ottawa is normally distributed with an…

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Q: b) Explain why the statistical properties of a random variable (RV) is expected to change if RV is…

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Q: For a Poisson random variable, what is the relationship between its parameter and its mean?

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Q: The amountof cashew nuts per packet (?), sold by a company,can be modelled usinga normal random…

A: We have given that.   X~N( μ =115, ?^2 =4)   μ =115 , ? =2   Z-score =( x - μ )/?

Q: Suppose Y is a continuous random variable with uniform distribution having mean 1 and 4 What is P(Y…

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