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A large fastvfood restaurant in Miami is having a promotional game where game pieces can be found on 1rarious products. Customers can win food or cash prizes. According to the company. the probabilityr of winning a prize {large or small} with any eligible purchase is {21.111 Consider your next 29 purchases that produce a game piece. Calculate the following: This is o binomial distribution. Round your answer to at least 4 decimal places. What is the probability that you win between 1 and 4 [inclusive] prizes? I Showing work is REQUIRED. A geological study indicates that an exploratory oil well drilled in a particular region should strike oil with probability of 0.1. Find probability that oil. strike number 3 comes on the well drill number .5 according to a Negative Binomial Distribution. Round your answer to 4 decimals. Showing work is REQUIRED. A production company in Kansas City is investigating their supplies of sheet metal. A certain kind of sheet metal has, on average, 7 defects per 17 square feet. Assuming a Poisson distribution, find the probability that a 33 square foot metal sheet has at least 11 defects. Answer the following questions. Showing work is REQUIRED. 1. What is the value for lambda for this problem? Write your answer as a fraction. * = 2. What is the value for t for this problem? t = 3. What is the probability that you should calculate? OP(X 11) OP(X > 11) OP(X