Question 1 (Essay Worth 3 points)A can of Pepsi is supposed to contain, on the average, 12 ounces of soda with a standard deviation of 0.3 ounces. Suspecting fraud, you take a random sample of 40 cans and measure the amount of Pepsi in each. Your measurements show that the 40 cans had a mean of 11.9 ounces. What is the probability of a random sample of 40 cans having a mean of 11.9 ounces of soda or less? Question 2 (Essay Worth 4 points)A quarterback for the Seattle Seahawks completes 54% of his passes. Let the random variable X be the number of passes completed in 20 attempts. Conduct a simulation of the 20 attempts using the following random digits. Be sure to state how you assign your digits.98726 10983 56239 42042 76520 68276 58239 48729 84912 87491a) What proportion of passes were completed?b) How does this compare with what "should have happened" theoretically? Question 3 (Essay Worth 4 points)Write a story problem for which the following calculator command would be used in finding the solution.a) Binomialpdf(20,0.25,12)b) Binomialcdf(20,0.25,12) Question 4 (Essay Worth 4 points)In a game of dice, you roll two standard 6-sided dice and examine their sum.a) What is the probability of rolling a 7?b) If you roll the dice 20 times, what is the probability of rolling a total of 3 sums of 7?c) How many times would you expect to roll the dice before you rolled a sum of 12? Question 5 (Essay Worth 4 points)A professional golfer gets a hole-in-one 0.003% of the time they try on a hole. If the golfer plays 32,000 holes over the course of their professional career, about how many hole-in-ones should they expect over their career? Question 6 (Essay Worth 4 points)A coin is unbalanced such that it comes up tails 55% of the time. In an effort to prove that the coin is unfair, an experimenter flips the coin 50 times.a) What is the probability that the coin comes up tails more than 25 times?b) What is the probability that the coin comes up tails more than 30 times?c) What is the probability that the coin comes up tails exactly 25 times? Question 7 (Multiple Choice Worth 1 points)Energizer batteries are considered to be very reliable. Only 0.5% of batteries produced are defective. A purchaser would like to know the probability that more than 100 batteries are defective out of a shipment of 20,000 batteries. Which of the following commands will yield the correct answer? Binomcdf(20000,.995,100) Binomcdf(20000,.005,100) 1-binomcdf(20000,.005,100) 1-binomcdf(20000,.995,100) None of theseQuestion 8 (Multiple Choice Worth 1 points)A recent poll showed that 60% of the residents of the city of Renton are democratic. A television reporter would like to interview a local democrat about an upcoming election. If the reporter begins randomly asking people on the street, what is the probability that he will find a democrat by the third person he stops? 0.936 0.216 0.144 0.096 0.064Question 9 (Multiple Choice Worth 1 points)If a statistic used to estimate a parameter is such that the mean of its sampling distribution is equal to the actual value of the parameter, what is the statistic is said to be? A proportion Random Biased Unbiased VariedQuestion 10 (Multiple Choice Worth 1 points)Let the random variable X be the outcome of rolling a 6-sided die. Assuming the die is fair, the probability distribution is as follows:X 1 2 3 4 5 6Probability 1/6 1/6 1/6 1/6 1/6 1/6What is the variance of X? 2.92 1 1.75 1/6 2.39

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q8A recent poll showed that 60% of the residents of the city of Renton are democratic. A television reporter would like to interview a local democrat about an upcoming election. If the reporter begins randomly asking people on the street, what is the probability that he will find a democrat by the third person he stops?0.936 [ .6 + .4*.6 +.4*.4*.6 ]——–one q at a time !