Please show your answers 13. Find the probability of a couple having a baby girl
ID: 3357283 • Letter: P
Question
Please show your answers13. Find the probability of a couple having a baby girl when their third child is born. given that the first two children were both boys. Is the result the same as the probability of getting three gris among the children? Why? 14. A national study of patients who were overweighed found that 56% also had elevated blood pressure. If two overweight patients are selected. Find the probability that both have elevated blood pressure. Wte your answer in % with one decimal place. 15. A coi n is tossed five times. Find the probability of getting at least one tail, write your answer in % with one decimal place. 16. A Lot of portable radios contain 15 good radios and three defective ones. If two are selected and tested, tind the probability that at least one will be defective. Write your answer in decimal with three places. Fall 2017/RG
Explanation / Answer
13) P(third child is girl | first two are boys) = (0.5 * 0.5 * 0.5)/0.5 * 0.5 = 0.5
P(all three are girl) = 0.5 * 0.5 * 0.5 = 0.125
So the result is not equal.
14) P(both are blood pressure) = 0.56 * 0.56 = 0.314 = 31.4%
15) P(at least one tail) = 1 - P(all head) = 1 - (0.5)5 = 0.969 = 96.9%
16) P(at least one will be defective) = 1 - P(none are defective)
= 1 - 12C2/15C2
= 1 - 0.629 = 0.371