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Tom shops for probability books forK hours, whereK is a random variable that is equally likely to be 1,2,3,or 4. The number of books N that he buys is random and depends on how long he shops according to the conditional PMF pNjK(njk) = 1 K, for n = 1; :::; k.
(a) Find the joint PMF of K and N.
(b) Find the marginal PMF of N.
(c) Find the conditional PMF of K given that N = 2.
(d) Find the conditional mean and variance of K, given that he bought at least 2 but no more than 3 books.
(e) The cost of each book is a random variable with mean 30. What is the expected value of his total expenditure?
A game company that manufactures a dart game that dispenses tickets has been asked to put a business plan together for a customer who wishes to buy the game.
Standard deviation 13. in a random sample of 32 womrn aged 18-24, find the probability that the average systolic blood pressure is between 110 and 120 mm hg.
Suppose the probability that a federal income tax return conatins an arithemetic error is 0.2. If 10 federal income tax returns are selected at random,
A description of a Pew Research Center poll referred to "the random generation of the last two digits of telephone numbers." Each digits has the same chance of being randomly generated. Construct a table representing the probability distribution f..
A machine has three components working independently. The probability that Component A fails is 0.1, the probability that component B fails is 0.2, and the probability that component C fails is 0.3.
Suppose that the population of heights of male college students is approximately normally distributed with mean m of 68 inches and standard deviation s of 3.75 inches. A random sample of 16 heights is obtained.
Calculate the probability of a value between 75.0 and 90.Calculate the probability of a value of 75.0 and less.
The height and diameter of 31 trees of a certain species were measured, the trees were cut down, and the volume of usable lumber was determined. Find the explanatory variable(s) in this study are
I want to estimate within $10 the mean salary of all graduates who were business majors in college. How many business majors would be needed to estimate the mean salary to within 10 with 95% confidence if the population standard deviation is $200.
The Atlanta Convention & Visitors Bureau just released a report on the percentage of available hotel rooms in Fulton County that were rented (occupied) in 2003.
The critical F value with 6 numerator and 60 denominator degrees of freedom at α = .05 is:
A breakdown of the responses is shown in the accompanying table. Is there evidence at the 10% level to infer that the responses differ among the three groups of employees?
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