By posisi on distribution a die throw 200 times 5.41
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TIBABILITY DISTRIBUTIONS
15. lfXiS a Poisson variate such that P(X = 1) = 2P(X
mean
(ii) variance
2); find
(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
[Given e-
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.
(Given e
= 0-0183)
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
defective.
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
The
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 ?
