Statistics and Probability

Let A and B be independent events with P(A) = - and P(B) = . Find P(An B) and P(A U B). The given table indicates the transactions for one Transaction teller for one day. Letting C represent "cashing a Cash Check No Check Totals check" and D represent "making a deposit," Make Deposit 30 10 40 express P(C'ID") in words and find its value. No Deposit 21 17 32 Totals 51 21 72 In February, a major airline had W 77.1% of their flights arrive on time. Assume that the event that a given flight arrives on time is independent of the event that another flight arrives on time a. A writer plans to take four separate flights for her publisher next month. Assuming the airline has the same on-time performance as in February, what is the probability that all four flights arrive on time? b. Discuss how realistic it is to assume that the on-time arrivals of the different flights are independent. The table shows relative frequencies for red-green color blindness, where M M M' represents "person is male" and C represents "person is color-blind". This study Totals only used binary gender options. Use this table to find the probability P(M n C). C 0.033 0.003 0.036 0.479 0.485 0.964 Totals | 0.512 0.488 1.000 5 The table shows relative frequencies for red-green color blindness, where M M M represents "person is male" and C represents "person is color-blind". This study Totals only used binary gender options. Use this table to find the probability P(MIC'). C 0.047 0.008 0.055 0.5 0.445 0.945 Totals 0.547 0.453 1.000 According to a recent report, 66.1% of men and 50.6% of women in a certain country were overweight. This study only used binary gender options. Given that 48.8% of adults in the country are men and 51.2% are women, find the probability that a randomly selected adult in the country fits the following description. (a) An overweight man (b) Overweight (c) Are the events that an adult is a man and that an adult is overweight independent? Explain