Question
Question #2 ASAP PLEASE!
1. (25 points) If the probability that an individual will suffer a bad reaction from testing a new drug is 0.001, find the probability that out of 3000 individuals (a) more than 2, (b) exactly 4 individuals will suffer a bad reaction. 2. (20 points (a) Find the probability that in a succesive tosses of a fair die, a 4 will come up for the first time on the ath toss. (b) Find the probability that in a succesive tosses of a fair die, a 4 will come up for the 3rd time on the 5th toss. 3. (25 points) A fair coin is tossed 500 times. Find the probability that the number of tails will not differ from 250 by more than 30. 4. (20 points) Find the area under the normal curve (a) to the left of
Explanation / Answer
2)
a.P( 4 turns up in the 5th tosss) = P( any but 4 appears for 4 times)*P( 5th time 4 comes) = (5/6)^4 (1/6) =.080376
b.P( 4 turns up 3rd time in 5th toss) = P( 4 turns - 2 times 4 appears)*P(5th toss 4 turns up) = 4C2(1/6)^2(5/6)^2 * 1/6 = .01929