Question

Since we talked about a Man on the Street survey in class today, you decided to do one yourself! You estimate that there is a 0.60 probability that a random student at UMSL has watched Game of Gnomes, the epic tale of magic and intrigue in the front garden. Assuming that you just walk through the quad and ask other students if they have seen the show, what is the probability that 3 out of the next 4 students you ask will say that they watched?

Answer 1

Therefore, we conclude that the probability is P=0.3456.

Explanation:

We know that there is a 0.60 probability that a random student at UMSL has watched Game of Gnomes. We calaculate the probability that 3 of 4 students watched Game of Gnomes.

`p=0.6\\q=1-0.6=0.4\\`

Therefore, we get:

`P=C_3^4\cdot 0.6^3 \cdot 0.4^1\\\\P=4\cdot 0.6^3 \cdot 0.4\\\\P=0.3456`

Therefore, we conclude that the probability is P=0.3456.