By posisi on distribution a die throw 200 times 5.41
15. lfXiS a Poisson variate such that P(X = 1) = 2P(X
(iii) PIX = 0)
6. A pair of dice is thrown 200 times. If getting a sum of 9 is considered a success, using
Poisson distribution find the mean and variance of the number of successes.
7 -If 2% of the items manufactured by a factory are defective, find the probability that there
are 3 defective items in a sample of 100 items.
2 = 01351
2% of the bolts manufactured by a factory are found to be defective. Find the probability
that in a packet of 200 bolts not more than 3 bolts will come out to be defective.
percent of the bolts produced in a certain factory turn out to be a defective. Find the
Probability, using Poisson distribution, that in a sample Of 10 bolts chosen at random
(i) exactly 2
(ii) more than 2, will be defective
[Take e _
- - 0-5491
A Company knows on the basis of its past experience that 3% of its bulbs are defective.
Using Poisson distribution, find the probability that in a sample of 100 bulbs, no bulb is
Suppose 10% of people in a town are post graduates. Using Poisson distribution, find the
Probability that in a sample of 20 people, not more than 2 are post-graduates.
[Take e-2 0-1351
re are 50 telephone lines in an exchange. The probability that any one of them will be
is 0•1. What is the probability that all the lines are busy ?