There are N distinct types of coupons, and each time one is obtained it will, independently of past choices, be of type i with probability Pii = 1, ., N. Let T denote the number one need select to obtain at least one of each type. Compute P{T=n}.
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- The manufacturer of a fertilizer guarantees that, with the aid of the fertilizer, 70% of planted seeds will germinate. Suppose the manufacturer is correct. If 9 seeds planted with the fertilizer are randomly selected, what is the probability that more than 7 of them germinate? Carry your intermediate computations to at least four decimal places, and round your answer to two decimal places. (If necessary, consult a list of formulas.)For a given electronic component, it has been shown that it is necessary to restart once every 250 hours. Let X be the number restarts within 1000 hours. (f) Given that the electronic component has been operating continuously for 200 hours, what is the probability that it will operate for another 400 hours?The manufacturer of a fertilizer guarantees that, with the aid of the fertilizer, 70% of planted seeds will germinate. Suppose the manufacturer is correct. If 6 seeds planted with the fertilizer are randomly selected, what is the probability that fewer than 5 of them germinate? Carry your intermediate computations to at least four decimal places, and round your answer to two decimal places.(If necessary, consult a list of formulas.)
- Suppose that after we arrive at a bus stop the time until the bus arrives is uniformly distributed in the interval 0 to 15 minutes. If we arrive at such a bus stop, find the probability that we must wait at most 10 minutes.Suppose a particle moves along tje x-axis beginning at 0. It moves one integer step to the left or right with equal probability. What is the probability function of its position after four steps?