1. Six Flags In 2011, Six Flags St. Louis had ten curler coasters: The Screaming’ Eagle, The Boss, River King Mine Practice, Batman the Ride, Mr. Freeze, Ninja, Tony Hawk’s Massive Spin, Evil Kneel, Excalibur, and Sky Screamer. Of those, The Boss, The Screaming’ Eagle, and Evil Kneel are picket coasters. Ethan desires to ride two extra curler coasters earlier than leaving the park (not the similar one twice) and decides to pick them by drawing names from a hat.(a) Decide the pattern house of the experiment. That is, checklist all attainable easy random samples of measurement n= 2.(b) What is the probability that Ethan will ride Mr. Freeze and Evil Kneel?(c) What is the probability that Ethan will ride the Screaming’ Eagle?(d) What is the probability that Ethan will ride two picket curler coasters?(e) What is the probability that Ethan will not ride any picket curler coasters?2. Barry Bonds On October 5, 2001, Barry Bonds broke Mark McGwire’s home-run report for a single season by hitting his 71st and 72nd residence runs. Bonds went on to hit yet another residence run earlier than the season ended, for a complete of 73. Of the 73 residence runs, 24 went to proper area, 26 went to proper heart area, 11 went to heart area, 10 went to left heart area, and 2 went to left area. Supply:Baseball-almanac.com(a) What is the probability that a randomly chosen residence run was hit to proper area?(b) What is the probability that a randomly chosen residence run was hit to left area?(c) Was it uncommon for Barry Bonds to hit a house run to left area? Clarify.three. Rolling a Die(a) Roll a single die 50 occasions, recording the results of every roll of the die. Use the outcomes to approximate the probability of rolling a 3.(b) Roll a single die 100 occasions, recording the results of every roll of the die. Use the outcomes to approximate the probability of rolling a 3.(c) Evaluate the outcomes of (a) and (b) to the classical probability of rolling a 3.four. Simulation Use a graphing calculator or statistical software program to simulate rolling a six-sided die 100 occasions, utilizing an integer distribution with numbers one by six.(a) Use the outcomes of the simulation to compute the probability of rolling a one.(b) Repeat the simulation. Compute the probability of rolling a one.(c) Simulate rolling a six-sided die 500 occasions. Compute the probability of rolling a one.(d) Which simulation resulted in the closest estimate to the probability that can be obtained utilizing the classical methodology?

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