Answered

Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Get quick and reliable answers to your questions from a dedicated community of professionals on our platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

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

Sagot :

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

[tex]P=C(n,k)\cdot p^k\cdot(1-p)^{n-k}[/tex]

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:

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

Therefore the correct option is B.

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.