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.
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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 - 0.05 = 0.95
n = 5
x = 3
P(x) = ⁿCₓpˣqⁿ⁻ˣ
P(3) = 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 is 0.001128125
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