10. Consider the random variable X whose probability distribution is given below: X Pr(X = x) 1 2 2k 3 4 5k 5k (a) Find the value of k. (b) Find the of 3X + 1. (c) Find the variance of X.

Q: The time (in minutes) needed to repair a machine may be modelled by a random variable having the…

A: Mean=E(T)=60 minutesT~exp(λ)

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A:

Q: Suppose that the random variable X measures the number of hot dogs purchased in a food court in an…

A: CorX,Y=0.75VX=VY=36W=2X+3Y

Q: arger variance. lom variable X be the height of a random CS500 at from the same group in…

A: True

Q: What is the distribution of X? 1) Out of the 38 pizzas that you try, how many would you expect to…

A: Let p be the probability of you liking the pizza. Given that p = 0.08

Q: Let X represent the number that occurs when an 8-sided red die is tossed and Y the number that…

A:

Q: Find the mean and variance for the probability distribution given by f(x)= 2x k(k+1)* -,x=1,2,3,...k

A:

Q: the actual dose administered is normally distributed with mean μ mg and variance σ 2 = 2.6 mg2.

A: It is given that the actual dose administered is normally distributed with mean μ mg and variance σ…

Q: (b) Find the expected value and variance of the number of drinks. E(Y) = 1.55 Var(Y) = 2.85 (Type…

A: Given:     X     1 Sandwich 2 Sandwich Y 1 drink 0.35 0.2 2 drinks 0.1 0.25 3 drinks 0…

Q: Time spent by students studying daily is a uniformly distributed random variable with mean = 136…

A: Solution: 1. Let X be the time spent by students studying daily. From the given information, X…

Q: A local library is analyzing the number of books checked out by patrons in a week. The probability…

A: Let X be the random variable which denotes the number of books checked out by patrons in a week. The…

Q: Let X represent the number that occurs when a 5-sided red die is tossed and Y the number that occurs…

A: a)The random variable X defines the number that occurs when a 5-sided red die is tossed.

Q: A financial analyst maintains that the risk, measured by the variance, of investing in emerging…

A: Population Var = ?² =280 Sample size = n = 20 Sample S.D = s² = 361