Exponential distribution with rate lambda
Show that if T has exponential distribution with rate lambda, then int(T), the greatest integer less than or equal to T, has a geometric (p) distribution on {0,1,2,3,...} and find p in terms of lambda.
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Two cards are selected in sequence from a standard deck of 52 cards. If the first card is 7 what is the probability that the second card is a Spade? Assume the first card is NOT returned to the deck
Suppose that the random variable X representing the probability that a random college student voted in the last student body election has the density function f(x) = kx^2(1-x)I(0,12)(x).
Give a point estimate for the proportion of all households in which there is no telephone service of either kind. Assuming the sample is sufficiently large, construct a 99.9% confidence interval for the proportion of all all households in which the
A small town has 100 people in it. 45 of them are men and 55 are women. It is also known that there are 48 Democrats in the town and 52 Republicans. We do not know how many of the women are Republicans or Democrats, or how many of the men are Repu
If the acceptable range is as in part (a) and the hardness of each of ten randomly selected specimens is independently determined, what is the expected number of acceptable specimens among the ten? (Round your answer to two decimal places.) specim
How significant are the results? What range of p-values would it fall under? Calculate a 95% confidence interval and interpret the results.
Compute the operating characteristics of the customer waiting line, assuming Poisson arrivals and exponential service times. Service goals dictate that an arriving customer should not wait for service more than an average of 5 minutes. Is this goal
However, the owner is concerned his staff isn't following this rule. To make sure they are, the owner decides to count the number of pieces of salmon on the next 40 pizzas and finds the average amount of salmon to be 11 pieces.
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