DA hot dog vendor at Memorial Stadium sells hot dogs for $5 each. He buys them for $2 each. All the hot dogs he fails to sell at Memorial Stadium during the afternoon can be sold that evening at Jaycee Park for $1 each. The daily demand for hot dogs at Memorial Stadium is normally distributed with a mean of 100 and standard deviation of 5 hot dogs. • If the vendor buys hot dogs once a day, how many should he buy to maximize expected profit? • If he buys 95 hot dogs, what is the probability that he will meet all of the day's demand for hot dogs at Memorial Stadium?

Calculate!

please can you now answer 3 and 4

According to the U.S. Customs and Border Protection Agency, the average airport wait time (time from arrival at the airport until the completion of security screening) at Chicago's O'Hare Inter- national airport is 32 minutes for a passenger arriving during the hours 4-5 PM. Assume the wait time is exponentially distributed so that p(t) = ke-kt for 0≤t<∞, where k is the reciprocal of the average wait time. Assume t is measured in minutes. 1. Sketch a labeled plot of the relevant pdf on the interval [0, 90] minutes (while remembering that it is defined for all t≥ 0.) 2. Set up integrals (you can write p(t) for the integrand) for the following probabilities: (a) Waiting longer than 60 minutes. (b) Waiting shorter than 30 minutes. (c) Waiting between 20 and 40 minutes. 3. Evaluate the probability that the waiting time is longer than 60 minutes (part 2(a) above) and convert to a percentage with two decimal places.

A box of 25 light bulbs is shipped to a hardware store. When it arrives, four of the bulbs are broken. Predict the number of broken light bulbs in an order of 125 bulbs.

Please help me with 8 and 7

please aswer 2.4

Given P(A and B) = 0.12, P(A) = 0.58, and P(B) = 0.44 are events A and B independent or dependent?

I got a few more

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