Quick Binomial Probability Calculation

00:00 2 marks

In a batch of 5 items, each item has a 0.8 chance of passing a quality control test independently. Using the binomial probability formula, calculate the probability that exactly 4 items pass the test.

Recall: $P(X=k)=C(n,k)p^k(1-p)^{n-k}$.

Hint Hint

Hint

Write the formula and substitute $n=5$, $k=4$, $p=0.8$ into the binomial probability formula.

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Answer Answer

Complete Answer

$P(X=4)=0.4096$

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