If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events. I will do one problem for you, to illustrate the process.
(b) .70^6
(c) This means that 1, 2, 3, 4, 5 or 6 have mental illness.
Either-or probabilities are found by adding the individual probabilities.
According to the Department of Health and Human Services, 30% of 18- to 25-year-olds have some form of mental illness.
(a) What is the probability two randomly selected 18- to 25-year-olds have some form of mental illness?
(b) What is the probability six randomly selected 18- to 25-year-olds have some form of mental illness?
(c) What is the probability at least one of six randomly selected 18- to 25-year-olds has some form of mental illness?
(d) Would it be unusual that among four randomly selected 18-to 25-year-olds, none has some form of mental illness?
1 answer