Home
Class 12
MATHS
The probability that a bulb produced by ...

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: (i) none (ii) not more than one (iii) more than one (iv) at least one will fuse after 150 days of use.

Text Solution

Verified by Experts

The correct Answer is:
(i) `((19)/(20))^(5)`
(ii) `((19)/(20))^(4)((6)/(5))`
(iii) `1-(6)/(5)((19)/(20))^(4)`
(iv) `1-((19)/(20))^(5)`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    BETTER CHOICE PUBLICATION|Exercise Assignment (Section I Multiple choice question)|8 Videos

  • PROBABILITY

    BETTER CHOICE PUBLICATION|Exercise Assignment (Section II short answer type question)|10 Videos

  • PROBABILITY

    BETTER CHOICE PUBLICATION|Exercise Solved examples (Section VI)|12 Videos

  • MATRICES

    BETTER CHOICE PUBLICATION|Exercise Previous years Board Questions for practice |69 Videos

  • RELATIONS AND FUNCTIONS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE |43 Videos

Similar Questions

Explore conceptually related problems

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 will fuse after 150 days of use.

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 none will fuse after 150 days of use.

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 more than one will fuse after 150 days of use.

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 at least one bulb will fuse after 150 days of use.

There are 6% defective items in a large bulk of items. Find the probability that a sample of 8 items will include not more than one (or less than two) defective item.

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?

A factory produces bulbs. The probability that any one bulb is defective is 1/50 and they are packed in boxes of 10. From a sigle box, find the probability that none of bulb is defective.

Three boys and two girls stand in a queue. The probability, that the number of boys ahead is at least one more than the number of girls ahead of her, is