Probability

The given table indicates the transactions at a bank for one teller for one day. Letting C represent "cashing a check" and D represent "making a deposit," express P(C'ID) in words and find its value. Transaction Cash Check No Check Totals Make Deposit 69 94 No Deposit 30 11 41 Totals 99 36 135 In February, a major airline had 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. 3 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 C' 0.479 0.485 0.964 Totals 0.512 0.488 1.000 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(CIM'). C 0.048 0.005 0.053 0.382 0.565 0.947 Totals 0.43 0.57 1.000 According to a recent report, 66.7% of men and 50.7% of women in a certain country were overweight. This study only used binary gender options. Given that 48.2% of adults in the country are men and 51.8% 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