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Probability

Short Answer Type

1021. 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.

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1022. 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 will fuse after 150 days of use.

Here n = 5
$straight p space equals 0.05 space equals space 5 over 100 space equals 1 over 20 comma space space straight q space equals space 1 space minus space straight p space equals space 1 minus 1 over 20 space equals space 19 over 20$

P(at least one bulb wil fuse after 150 days)
$equals space 1 minus straight P left parenthesis 0 right parenthesis space equals space 1 minus space open parentheses 19 over 20 close parentheses to the power of 5$ $open square brackets because space of space left parenthesis straight i right parenthesis close square brackets$

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1023. 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.

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1024. The probabilities that a bulb produced by a factory will fuse after 160 days is 0·06. Find the probability that out of 5 such bulbs, at the most one bulb will fuse after 160 days of use.

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1025. In four throws with a pair of dice, what is the probability of throwing doublets at least twice?

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1026. A pair of dice is thrown 6 times. If getting a total of 9 is considered a success, what is the probability of at least 5 successes?

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1027. Find the probability of getting a sum of 9 at least twice in 10 throws with two dice.

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1028. A pair of dice is thrown 6 times. If getting a total of 7 is considered a success, what is the probability of at least 4 successes?

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1029. A pair of dice is thrown 6 times. If getting a total of 7 is considered a success, find the probability of at least five successes.

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1030. In a throw of 4 dice, find the probability that at least one die shows up 4.

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