#15 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 3ProbabilityNumber of 3s 0 1 2 3ProbabilityNumber of 3s 0 1 2 3ProbabilityNumber of 3s 0 1 2 3Probabilityа.1/16 7/16 7/16 1/16b.1/8 3/8 3/8 1/8с.1/4 1/4 1/4 1/4d.1/8 2/8 2/8 1/814. While driving to work, Arceli passes through 3 stop lights. The probability distribution of the number oflights she stops at is shown below. What is the probability that Arceli has to stop at fewer than two lights forher ride to work?LP(L)0.10.30.20.4a. 0.60.4d. 0.315. A statistics teacher announces to the class at the beginning of the semester that there is a 40% chance aс.b.0.2randomly chosen student will finish the semester with an A in the class and there is a 60% a randomly chosenstudent will get an A on a test during the semester. Is the probability that a randomly chosen student receivesan 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 notmutually exclusive.b. Yes, because the chance of getting an A on a test and getting an A in the class aremutually exclusive.No, because the chance of getting an A on a test and getting an A in the class are notindependent.d. Yes, because the chance of getting an A on a test and getting an A in the class areindependent.a.с.16. Of all the lightbulbs manufactured at a certain factory, 95% of the lightbulbs work and 5% are defective. Ifsix lightbulbs are selected at random from all of the lightbulbs, what is the probability that all of them work?c. 0.735d. 0.30а.0.70b. 0.26517. Ten singers have signed up for a signing competition. The order in which they will compete is selected byrandom draw. Five of the signers will compete before an intermission and five will compete after theintermission. How many different ways are there for the five singers to be selected to sing beforeintermission?40b. 100,000a.с.252d. 30,24018. Four fair coins are flipped and the number of heads that land face up are counted. The probabilitydistribution of the number of heads face up is shown below. What is the probability that more than one coinlands heads face up?T124P(T)0.06250.250.3750.250.06250.3750.3125d. 0.6875а.с.b.0.25

Name: #15 13. A family plans to have three children. Assume that the probabi
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Description: #15 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 3ProbabilityNumber of 3s 0 1 2 3ProbabilityNumber of 3s 0 1 2 3Pr

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15.
Two events are said to be mutually exclusive if they cannot occur at the same time. For two…