Question

Drive il pivyo. 17:38 19% 5. A fair coin is tossed several times until exactly 3 heads are obtained. Calculate probability that coin is tossed exactly 5 times 6. Calculate the probability of getting 3 five times or more times when roll the dice 7 times 7. The following table gives the number of male and female in an area by education category Male Primary school 325 Secondary school 275 High school 200 Under graduated 150 Post graduated 55 a. Suppose a person is randomly selected. What is the probability that person is a male? b. What is the probability that a person, who is a female, is under-graduated? c. What is the probability that a person, who is not post graduated, is a female? d. Let A is the event that a person is under- graduated; B is the event that a person is a female. What is the relation of A and B: mutually exclusive, independent or both?

Answer 1

(there are more than 1 questions, as per policy i am answering first question)

5.

P(heads) = 0.5 = p

1-p = 0.5

P(x heads in n tosses) = nCx * (0.5^x) * (0.5^(n-x)) = nCx * 0.5^n

P(3 heads in exactly 5 moves)

= P(2 heads in 4 moves)*P(head in 5 th move)

= (4C2 * 0.5^4) * 0.5

= 6*0.5^5

= 0.1875

ANSWER : P(coin tossed exactly 5 times) = 0.1875

(please UPVOTE)