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the number of coins that Josh spots when walking to work is a poisson rv with mean 6. Each coin is equally to be a penny, a nickel, a dime, or a quarter. Josh ignores the pennies but picks up the other coins.
a) Find the expected amount of money that Josh picks up on his way to work
b) find the variance of the amount of money Josh picks up
c) find the probability that Josh picks up exactly 25 cents
Find the derivative using logarithmic differentiation
Perform the appropriate analysis and state the conclusions
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Calculating the probability values
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T.J.'s market is a small local grocery store with only one checkout counter. Assume that the shoppers arrive at the checkout lane at an average rate of 15 customers per hour and that the average order takes 3 minutes to ring up and bag.
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Among U.S. cities with a population of more than 250,000 the mean one-way commute to work is 24.3 minutes. The longest one-way travel time is New York City, where the mean time is 37.9 minutes.
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