13. A family plans to have three children. Assume that the probability of have a boy or a girl is equally likely. Find a probability model for this chance process. Number of 3s 0 1 2 3 Probability...

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Extracted text: 13. A family plans to have three children. Assume that the probability of have a boy or a girl is equally likely. Find a probability model for this chance process. Number of 3s 0 1 2 3 Probability Number of 3s 0 1 2 3 Probability Number of 3s 0 1 2 3 Probability Number of 3s 0 1 2 3 Probability а. 1/16 7/16 7/16 1/16 b. 1/8 3/8 3/8 1/8 с. 1/4 1/4 1/4 1/4 d. 1/8 2/8 2/8 1/8 14. While driving to work, Arceli passes through 3 stop lights. The probability distribution of the number of lights she stops at is shown below. What is the probability that Arceli has to stop at fewer than two lights for her ride to work? L P(L) 0.1 0.3 0.2 0.4 a. 0.6 0.4 d. 0.3 15. A statistics teacher announces to the class at the beginning of the semester that there is a 40% chance a с. b. 0.2 randomly chosen student will finish the semester with an A in the class and there is a 60% a randomly chosen student will get an A on a test during the semester. Is the probability that a randomly chosen student receives an A in the class and an A on a test during the semester equal to 0.24? No, because the chance of getting an A on a test and getting an A in the class are not mutually exclusive. b. Yes, because the chance of getting an A on a test and getting an A in the class are mutually exclusive. No, because the chance of getting an A on a test and getting an A in the class are not independent. d. Yes, because the chance of getting an A on a test and getting an A in the class are independent. a. с. 16. Of all the lightbulbs manufactured at a certain factory, 95% of the lightbulbs work and 5% are defective. If six lightbulbs are selected at random from all of the lightbulbs, what is the probability that all of them work? c. 0.735 d. 0.30 а. 0.70 b. 0.265 17. Ten singers have signed up for a signing competition. The order in which they will compete is selected by random draw. Five of the signers will compete before an intermission and five will compete after the intermission. How many different ways are there for the five singers to be selected to sing before intermission? 40 b. 100,000 a. с. 252 d. 30,240 18. Four fair coins are flipped and the number of heads that land face up are counted. The probability distribution of the number of heads face up is shown below. What is the probability that more than one coin lands heads face up? T 1 2 4 P(T) 0.0625 0.25 0.375 0.25 0.0625 0.375 0.3125 d. 0.6875 а. с. b. 0.25