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Question 9 20% of a particular brand of light bulbs fail in one year. What is the probability that three bulbs out of a random collection of 8 bulbs fail in one year

Sagot :

Answer:

The correct answer is 0.15

Step-by-step explanation:

According to the given scenario, the probability is as follows:

X[tex]\sim[/tex] Bin (n,p)

Here

n = 8

p = 0.20 or 20%

Now this is a binomial probability distribution

[tex]P(X) = ^nC_x \times p^x \tmes (1 - p)^{n-x}\\\\P(3) = ^8C_3 \tims 0.20^3 \times (1 - 0.20)^5[/tex]

= 0.15

Hence, the correct answer is 0.15

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