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Chapter 6: Q.2 (page 409)
Suppose that three randomly selected subjects solve puzzles for five minutes each. The expected value of the total number of puzzles solved by the three subjects is
(a) . (c) . (e).
(b) . (d) .
Expected value of total number of puzzle is
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North Carolina State University posts the grade distributions for its courses online.Students in Statistics in a recent semester received As, Bs, Cs, Ds, and Fs. Choose a Statistics student at random. The student鈥檚 grade on a four-point scale (with ) is a discrete random variable X with this probability distribution:
Say in words what the meaning of is. What is this probability?
Explain whether the given random variable has a binomial distribution.
Lefties Exactly of the students in a school are left-handed. Select students at random from the school, one at a time, until you find one who is left-handed. Let the number of students chosen.
Blood types In the United States, of adults have type O blood. Suppose we choose U.S. adults at random. Let the number who have type O blood. Use the binomial probability formula to find . Interpret this result in context.
23. ITBS scores The Normal distribution with mean and standard deviation is a good description of the Iowa Test of Basic Skills (ITBS) vocabulary scores of seventh-grade students in Gary, Indiana. Call the score of a randomly chosen student for short. Find and interpret the result. Follow the four-step process.
Keno is a favorite game in casinos, and similar games are popular in the states that operate lotteries. Balls numbered to are tumbled in a machine as the bets are placed, then of the balls are chosen at random. Players select numbers by marking a card. The simplest of the many wagers available is 鈥淢ark Number.鈥� Your payoff is on a bet if the number you select is one of those chosen. Because of numbers are chosen, your probability of winning is , or . Let the amount you gain on a single play of the game.
(a) Make a table that shows the probability distribution of .
(b) Compute the expected value of . Explain what this result means for the player
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