CHAPTER 5. Solve the problem. 8) In a certain town, 30% of adults have a college degree. The accompanying table describes the probability distribution for the number of adults (among 4 randomly selected adults) * | P( x ) who have a college degree. Find the standard deviation for the probability distribution. 0 0.2401 1 0.4116 2 0.2646 3 | 0.0756 4 | 0.0081 9) The prizes that can be won in a sweepstakes are listed below together with the chances of winning each one: $3800 (1 chance in 8300); $2600 (1 chance in 6900); $800 (1 chance in 3000); $300 (1 chance in 2300). Find the expected value of the amount won for one entry if the cost to enter is 70 cents. Assume that a researcher randomly selects 14 newborn babies and counts the number of girls selected, x. The probabilities corresponding to the 14 possible values of x are summarized in the given table. Answer the question using the table. Probabilities of Girls x(girls) P(x) x(girls)| P(x) (x(girls)| P(x) 0.000 0.122 10 0.061 0.001 0.183 11 0.022 0.006 0.209 12 0.006 WN H 0.022 0.183 13 0.001 0.061 0.122 14 0.000 10) Find the probability of selecting 12 or more girls