Chapter 5: Q 34. (page 298)
Use the correct choice from the previous question and these random digits to simulate 10 shots:How many of these 10 shots are hits? (a) (b) (c) (d) (e)
Short Answer
There are hits out of a possible
Chapter 5: Q 34. (page 298)
Use the correct choice from the previous question and these random digits to simulate 10 shots:How many of these 10 shots are hits? (a) (b) (c) (d) (e)
There are hits out of a possible
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Get started for freeAirport security The Transportation Security Administration (TSA) is responsible for airport safety. On some flights, TSA officers randomly select passengers for an extra security check prior to boarding. One such flight had passengersin first class and in coach class. Some passengers were surprised when none of the passengers chosen for screening were seated in first class. We can use a simulation to see if this result is likely to happen by chance.
(a) State the question of interest using the language of probability.
(b) How would you use random digits to imitate one repetition of the process? What variable would you measure?
(c) Use the line of random digits below to perform one repetition. Copy these digits onto your paper. Mark directly on or above them to show how you determined the outcomes of the chance process.
Lotto In the United Kingdom’s Lotto game, a player picks six numbers from 1 to 49 for each ticket. Rosemary bought one ticket for herself and one for each of her four adult children. She had the lottery computer randomly select the six numbers on each ticket. When the six winning numbers were drawn, Rosemary was surprised to find that none of these numbers appeared on any of the five Lotto tickets she had bought. Should she be? Design and carry
out a simulation to answer this question. Follow the four-step process.
Nickels falling over You may feel it’s obvious that the probability of a head tossing a coin is aboutbecause the coin has two faces. Such opinions are not always correct. Stand a nickel on the edge on a hard, flat surface. Pound the surface with your hand so that the nickel falls over. Do this time, and record the results.
(a) What’s your estimate for the probability that the
coin falls heads up? Why?
(b) Explain how you could get an even better estimate.
Keep on tossing The figure below shows the results of two different sets of coin tosses. Explain what this graph says about chance behavior in the short run and the long run.
Education among young adults Chooses a young adult (aged to ) at random. The probability is that the person chosen did not complete high school, that the person has a high school diploma but no further education, and that the person has at least a bachelor’s degree.
(a) What must be the probability that a randomly chosen young adult has some education beyond high school but does not have a bachelor’s degree? Why?
(b) What is the probability that a randomly chosen young adult has at least a high school education? Which rule of probability did you use to find the
answer?
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