Question

The probability that a bulb will fuse within an year is 0.05. Find the
probability that out of 5 bulbs 3 bulbs will fuse within the year.​

Answer 1

Given : The probability that a bulb will fuse within an year is 0.05.

To Find : the probability that out of 5 bulbs 3 bulbs will fuse within the year.​

Solution:

The probability that a bulb will fuse within an year is 0.05.

=> p  = 0.05

q = 1 - p  = 1 - 0.05 = 0.95

n = 5

x = 3

P(x) = ⁿCₓpˣqⁿ⁻ˣ

probability that out of 5 bulbs 3 bulbs will fuse within the year.​

= ⁵C₃(0.05)³(0.95)⁵⁻³

= 10 (0.05)³(0.95)²

= 0.001128125

probability that out of 5 bulbs 3 bulbs will fuse within the year.​ = 0.001128125

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