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(Solved by Expert Tutors) I have 13 multiple choice questions i need help with. 3. suppose>

you play this game: you roll a fair six-side die. if it lands on 1,2,3 or 4, you have to pay $5. how much should the price be for rolling 5 or 6 in order to make this game fair? a. $5b. $10c. $2.50d. this game cannot be fair because the probability of winning is less than the probability of loosing. 13. a pool of possible jurors consists of 15 men and women. A jury of 12 is picked at random from this group. can we use the Binomial model to find the probability that the jury contains all women? a. no. there are more than two possible outcomes. b. no. the chance of a woman changes depending on who has already been picked. c. yes. the distribution is binomial. 14. decide wether the experiment is a binomial experiment: a. Survey 150 college students to see whether they are enrolled as new students. The random variable represents the number of students enrolled as a new student. b. Survey 50 investors to see how many different stocks they own. The random variable represents the number of different stocks owned by each investor. c. Each week, a gambler plays blackjack at the local casino. The random variable is the number of times per week the player wins. d. Selecting five cards, one at a time without replacement, from a standard deck of cards. The random variable is the number of face cards obtained.15. A survey takes a random sample of 250 people in a city, and takes this sample with replacement. The survey asks the respondents if they support the death penalty. The number of people who support the death penalty is not binomial because a. The sample size is not fixed.b. The probability of a success is not the same at each trial. c. The trials are not independent. d. None of these; the distribution for the number of people in the sample who support the death penalty is binomial.19. Suppose that you toss a die three times. What is the probability of getting number 1 at least two times? a. (1/6)3 + 3 ? (1/6)2 ? (5/6) b. (1/6)3 + (1/6)2 ? (5/6) c. 1 - ((1/6 + 1/6 +1/6 ) + 3 ? (1/6 + 1/6 + 5/6))d. 1 - ((1/6 + 1/6 +1/6 ) + (1/6 + 1/6 + 5/6))26. When sampling without replacement, the probability model for the number of successes in the sample is best given by a. Hypergeometric distribution b. Binomial distributionc. Negative Binomial distribution d. Geometric distribution e. Poisson distribution f. None of the given distributions27. A shipment of six parrots from Brazil includes two parrots with a potentially fatal disease. As usual, the U. S. Customs Office at the shipment's point of entry randomly samples two parrots and tests them for disease. Let the random variable X be the number of healthy parrots in the sample. Find the probability distribution of X.a. Hypergeometric distribution b. Binomial distribution c. Negative Binomial distribution d. Geometric distributione. Poisson distribution f. None of the given distributions28. The quality of computer disks is measured by sending the disks through a certifier which counts the number of missing pulses. A certain brand of computer disks averages 0.1 missing pulse per disk. Let the random variable X denote the number of missing pulses. Find the probability distribution of X. a. Hypergeometric distribution b. Binomial distribution c. Negative Binomial distribution d. Geometric distribution e. Poisson distribution f. None of the given distributions29. It is known that 70% of the customers in a sporting goods store purchase a pair of running shoes. A random sample of 25 customers is selected. Assume that customers' purchases are made independently, and let X represent number of customers who purchase running shoes. Find the probability distribution of X. a. Hypergeometric distribution b. Binomial distribution c. Negative Binomial distributiond. Geometric distribution e. Poisson distribution f. None of the given distributions30. A family decides to have children until it has three children of the same gender. Let the random variable X denote the number of children in the family. Find the probability distribution of X. a. Hypergeometric distribution b. Binomial distributionc. Negative Binomial distribution d. Geometric distribution e. Poisson distribution f. None of the given distributions

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