# or fewer children. (Data from: gss.nore.org320*.165.258.162281P(x)Find the expected value for the number of childrenSolution Using the formula for the expected valEx)= 0(.281) + 1(.162) +2(.258) 3(.165) +1.804.For those respondents with 7 or fewer childreis 1.8049.1 Exercises12.or each of the experiments described, let x determine a random vari-hle and use your knowledge ofprobability to prepare a probabilitydistribution. (Hint: Use a tree diagram.)5xr4P(x)1. Four children are born, and the number of boys is noted.(Assume an equal chance of a boy or a girl for each birth.)Find the ex2. Two dice are rolled, and the total number of dots is recorded.bility func3. Three cards are drawn from a deck. The number of Queens are13. Pcounted.44. Two names are drawn from a hat, signifying who should go pickup pizza. Three of the names are on the swim team and two arenot. The number of swimmers selected is counted..3Draw a histogram for each of the given exercises, and shade the regionhat gives the indicated probability. (See Example 1.).25. Exercise 1; P(x2). Exercise 2; P(x.111)Exercise 3; P(at least one queen)Exercise 4: P(fewer than two swimmersI/

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