Question

A shipping company claims that 90% of its packages are delivered on time. Jenny noticed that out of the last 10 packages shipped, 2 were late. What is the probability that 2 out of 10 randomly selected shipments would be late? 0. 04 0. 10 0. 19 0. 43.

Answer 1

The probability that 2 out of 10 randomly selected shipments would be late is 0.19.

Given

A shipping company claims that 90% of its packages are delivered on time.

Jenny noticed that out of the last 10 packages shipped, 2 were late.

What is probability?

The probability of success and failure remain the same throughout the trials.

The probability that 2 out of 10 randomly selected shipments would be late is given by;

$\rm =^{10}C_2 \times (\dfrac{2}{10})^2 \times (0.8)^8\\\\=45 \times 0.04\times 0.16\\\\ = 0.19$

Hence, the probability that 2 out of 10 randomly selected shipments would be late is 0.19.

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