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There are 5% defective items in a large bulk of items. What is the probability that a sample of 10 items will include not more than one defective item ?

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It is known that 10% of certain articles manufactured are defective . What is the probability that in a random sample of 12 such articles 9 are defective?

A box contains 10 bulbs, of which just three,are defective. If a random sample of five bulbs is drawn, find the probabilities that the sample contains: i) exactly one defective bulb (ii)exactly two defective bulbs (iii) no defective bulbs.

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A factory has two machines A and B. past record shows that machine A produced 60% of the items of output and the machine B produced 40% of the items. Future 2% of the items produced by machine A and 1% produced by machine B were defective. All the items are put into one stockpile and then one item is choosen at random from this and is found to be defective. what is the probability that it was produced by machine B ?

Ten eggs are drawn successively with replacement from a lot containing 10% defective eggs. Find the probability that there is at least one defective egg.

In a factory which manufacture bulbs,machine X, Y and Z manufactures respectively 25%, 35% and 40% of the bulbs. Of the output 1%, 2% and 3% are respectively defective bulbs. A bulb is drawn at random and found to be defective. What is the probability that it is manufactured by machine Y ?

The probability that a bulb produced by a factory will fuse after 150 days of use is 0.05. Find the probability that out of 5 such bulbs. not more than one

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V PUBLICATION-PROBABILITY-QUESTION BANK
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  2. A pair of dice is thrown 4 times. If getting a doublet is considered a...

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  3. There are 5% defective items in a large bulk of items. What is the pro...

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  4. Five cards are drawn successively with a replacement from a pack of 52...

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  5. The probability that a bulb produced by a factory will fuse after 150 ...

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  6. A bag consists of 10 balls each marked with one of the digits 0 to 9 ....

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  7. In an examination 20 question of true false type are asked suppose a s...

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  8. Suppose X has a binomial distribution B(6,1/2) show that X=3 is the mo...

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  9. On a multiple choice examination with three possible answers for each ...

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  10. A person buys a lottery ticket in 50 lotteries , in each of which his ...

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  11. Find the probability of getting 5 exactly twice in 7 throw of a die.

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  12. Find the probability of throwing at most 2 sixes in 6 throws of a sing...

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  13. It is known that 10% of certain articles manufactured are defective . ...

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  14. In a box containing 100 bulbs 10 are defective the probability that ou...

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  15. The probability that a student is not a swimmer is 1/5 then the probab...

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  16. Find the mean of the Binomial distribution B(4, (1/3))

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  17. A and B throw a die alternatively: till one of them gets a 6 and wi...

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  18. A and B are two events such that P(A) ne 0. Find P(B | A), if i) A s...

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  19. A family has two children. What is the probability that both the child...

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  20. Suppose 5% of men and 0.25% of women have grey hair. A grey haired per...

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