Let (A,n 2 1) be independent events. Then a)E=1 P(A,) = 0 == P(A i.o.) = 1 b) En=1 P(A,)<= P(A, i.o.) 0.
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- Event E: Being a lifeguard; Event F: getting a suntan b) Event E and F are independent or dependent?If S and T are mutually exclusive events then P(S|T) is P(SnT) P(S) P(SnT) P(T) search DELL 近b) Two events X and Y are such that P(X) = P(Y) = 2 Find the probability that i) both events occur. Are X and Y mutually exclusive? ai) both events do not occur bi) only one of the events occur and P(X/Y) = 31.
- 20 - The probability of each individual having an accident among 200 insured persons in the same age group in an insurance company is p=0.001. What is the probability that no individual will have an accident? a) 0.7686 B) 0.8186 NS) 0.5678 D) 0.6246 TO) 0.16385. The probability that a regularly scheduled flight departs on time is P(D) = 0.81; the probability that it arrives on time is P(A) = 0.85; and probability that it departs and arrives on time is P(DNA) = 0.75. Find the probability that a plane i) Departed on time, given it has arrived on time. ii) Arrives on time , given that it departed on time iii) Departed on time, given has not arrived on time.If A and B are two events and P (A) 3 P (B) 5' 2 Then prove that (i) 3 P (A U B) 2 (ii) 10 1The items produced by a manufacturer have a probability equal to 0.3 of being defective. For a random sample of 10 items, the probability that at most 3 items are defective as given by R is 1-pbinom(3,10,0.3) pbinom (10,3,0.03) pbinom(3,10,0.3) dbinom(3,10,0.3)Q₁) Three light bulbs are chosen at random from 15 bulbs of which 5 are defective, find the probability that:- P(A)-none is defective. P(B) = Exactly one is defective Pecs At least one is defective.