Prashnikaप्रश्निका
‹ Back to the paper

Solve the following.

The probability that a bulb produced in a factory will fuse after 150 days of use is . Find the…

Mathematics20201.5 marksNumerical
The probability that a bulb produced in 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.

Answer

Answer

AI
$P(X \ge 1) = 1 - P(X = 0) = 1 - (0.95)^5$, with $n = 5$, $p = 0.05$, $q = 0.95$. $= 1 - 0.7738 = 0.2262$

Final answer: $0.2262$

Probability

From ISC 2020 Mathematics Paper 1, question 14(iv).