# Probability math question?

Update:

Suppose that 8% of the first batch of computer chips off a new production line have flaws. An inspector randomly selects 5 computer chips for testing.

a) Create a probability histogram for the number of flawed computer chips in the sample.

b) What is the expected number of flawed computer chips in the sample?

Relevance

Use the binomial probability formula:

P(X = k) = C(n,k) * p^k * q^(n-k)

n : number of trials (5)

k : number of desired outcomes (0, 1, 2, ..., 5)

p : probability of that outcome (0.08)

q : probability of the opposite outcome (1-p = 0.92)

Now just create a probability histogram.

P(X=0) = C(5,0) * 0.08^0 * 0.92^5 = 0.6590815232

P(X=1) = C(5,1) * 0.08^1 * 0.92^4 = 0.286557184

P(X=2) = C(5,2) * 0.08^2 * 0.92^3 = 0.049836032

P(X=3) = C(5,3) * 0.08^3 * 0.92^2 = ...

P(X=4) = C(5,4) * 0.08^4 * 0.92^1 = ...

P(X=5) = C(5,5) * 0.08^5 * 0.92^0 = ...

For the expected number of chips, compute the Expected Value.

E(X) = 0 * P(X=0) + 1 * P(X=1) + 2 * P(X=2) + 3 * P(X=3) + 4 * P(X=4) + 5 * P(X=5)

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• Anonymous
3 years ago

Ok

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