or fewer children. (Data from: gss.nore.org 3 2 0 * .165 .258 .162 281 P(x) Find the expected value for the number of children Solution Using the formula for the expected val Ex)= 0(.281) + 1(.162) +2(.258) 3(.165) + 1.804. For those respondents with 7 or fewer childre is 1.804 9.1 Exercises 12. or each of the experiments described, let x determine a random vari- hle and use your knowledge ofprobability to prepare a probability distribution. (Hint: Use a tree diagram.) 5 xr 4 P(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 ex 2. Two dice are rolled, and the total number of dots is recorded. bility func 3. Three cards are drawn from a deck. The number of Queens are 13. P counted. 4 4. Two names are drawn from a hat, signifying who should go pick up pizza. Three of the names are on the swim team and two are not. The number of swimmers selected is counted. .3 Draw a histogram for each of the given exercises, and shade the region hat gives the indicated probability. (See Example 1.) .2 5. Exercise 1; P(x 2) . Exercise 2; P(x .1 11) Exercise 3; P(at least one queen) Exercise 4: P(fewer than two swimmers I/

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Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.