Question

A certain type of rocket has a failure rate of 1.5%. Calculate the probability of there being exactly 1 failure in 100 launches. A: 0.015B: 0.336C: 0.150D: 0.922

Answer 1

In order to calculate the probability of exactly 1 failure in 100, we can use the formula below:

`P=C(n,k)\cdot p^k\cdot(1-p)^(n-k)`

Where C(n, k) is a combination of n choose k and p is the probability of the event happening.

So, for n = 100, k = 1 and p = 0.015, we have:

`\begin{gathered} P=C(100,1)\cdot0.015^1\cdot0.985^(99) \\ P=100\cdot0.015\cdot0.224 \\ P=0.336 \end{gathered}`

Therefore the correct option is B.