a computer store has 10 computers out of which 3 are defective. A customer buys 2 computers at random. Find the probability mass function that customer will get defective system.
Answers
Given : A computer store has 10 computers out of which 3 are detective. A customer buys 2 computers at random.
To Find : the probability mass function that customer will get defective systems.
Solution:
n = 10
3 are detective
no defectives = 10 -3 = 7
customer buys 2 computers at random.
probability mass function that customer will get defective systems.
x = 0 P(x) = ⁷C₂.³C₀ / ¹⁰C₂ = 42/90 = 7/15
x = 1 P(x) = ⁷C₁.³C₁ / ¹⁰C₂ = 21/45 = 7/15
x =2 P(x) = ⁷C₀.³C₂ / ¹⁰C₂ = 6/90 = 1/15
P(x) = 7/15 when x = 0 , 1
1/15 when x = 2
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