A manufacturer knows that the condensers he makes contain on an average 1%
of defective. He packs them in boxes of 100. What is the probability that a box
picked at random will contain 4 or more faulty condensers.
*
Answers
Given : A manufacturer knows that the condensers he makes contain on an average 1% of defective.
He packs them in boxes of 100.
To Find : What is the probability that a box picked at random will contain 4 or more faulty condensers.
Solution:
Probability of defective p = 1 % = 0.01
probability of non defective q= 1 - 0.01 = 0.99
n = 100
P(x) = ⁿCₓpˣqⁿ⁻ˣ
probability that a box picked at random will contain 4 or more faulty condensers.
= 1 - P(0) - P(1) - P(2) - P(3)
P(0) = ¹⁰⁰C₀(0.01)⁰(0.99)¹⁰⁰ = 0.3660
P(1) = ¹⁰⁰C₁(0.01)¹(0.99)⁹⁹ = 0.3697
P(2) = ¹⁰⁰C₂(0.01)²(0.99)⁹⁸ = 0.1849
P(3) = ¹⁰⁰C₃(0.01)³(0.99)⁹⁷ = 0.061
probability that a box picked at random will contain 4 or more faulty condensers. = 0.0184
Learn More:
X is a binomial variable such that 2 P(X = 2) = P(X = 3) and mean
brainly.in/question/17528101
the probability that man is 45 years will die within a year is 0.012 ...
brainly.in/question/19206650