Poisson distributions with respective means
Let X1, X2, X3 be a random sample of size n=3 from the Poisson distributions with respective means l1 = 4, l2= 5, l3= 5.
a) Find P(X1 + X2 + X3 = 1)
b) Find the mean and variance of Y = X1 + X2 + X3
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The whole truckload will be rejected if more than 4% of the sample is unsatisfactory. Suppose that in fact 7& of the apples on the truck do not meet the desired standard. What's the probability that the shipment will be accepted anyways? (HINT
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Find a 90% confidence interval for the true variance visible albedo value of all Canadian Arctic ice ponds in column L to T. What is the interpretation of the intervals gotten in (b) and (c)?
Consider the following simple model for daily changes in the price of a stock. Suppose that on each day, the price either go up $1 with probability 0.55 or goes down $1 with probability 0.45. Suppose the price at the beginning of day 1 is $20. Let
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We are supposing that the proportion of all adults who think that two children is ideal is p=0.52. What is the probability that a sample proportion falls between 0.49 and 0.55(that is, within + or - 3 percentage points of the true p) if the sample
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