Every morning, I send a random number of emails to my friends. The number of emails I send every day follows an independent Poisson distribution with mean µ. For every email that I send, I get a reply before the next morning with probability p. Every email that isn’t replied to remains in the person’s […]
help work on this question in class of 40 students each students is given a bag of chocolates, Each bag contains 12 chocolates of which 3 are ed. Student eat their chocolates one at a time, chose at random. What is the chance that 4 or more students eat all the red chocolates last? […]
Q3 Vibranium In a particular time period, the price of 1 pound of Vibranium is $50 on average, with a standard deviation of $10. (a) Using Chebyshev’s inequality, derive an upper bound on the probability that a pound of Vibranium costs at least $80. (b) What would the mean of a pound of Vibranium need […]
You have a coin that lands heads with probability 0.3. Suppose you keep flipping the coin until you see 100 heads. (a) State the Central Limit Theorem (CLT) in one or two sentences. (b) Use the CLT to approximate the probability you flip the coin more than 300 times. For full credit use a continuity […]
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