Let A and B denote the events A there are more then three de

Let A and B denote the events A there are more then three defective items in a random sample of 10 items and B there are fewer that 6 defectives in a random sample of 10 items. Describe in words, the event A and B. Describe in words, the even A or B

Solution

a)
Event A = There are more than 3 defective items in a reandom sample of 10

Event B = There are fewer that six defective in a random sample of 10

Event A and B = Common defectives between Event A and Event B = Defetive items should be more than 3 and fewer than 6 = There are more than 3 and fewer that six defectives exists in a random sample of 10

b)

Event A OR B = Event A + Event B - Event (A and B) = More than 3 defectives in sample of 10 + Fewer than 6 defects in sample of 10 - There are more than 3 and fewer that six defectives exists in a random sample of 10 = There is 10 defective items exists in a sample 10