Question

Assume 10% of Berkeley students are left-handed. If you are in a class of 50 people, what is the probability that exactly 4 of them are left-handed? Round your answer to the nearest hundredth, and omit the leading zero. Enter your answer here.

Answer 1

The answer is "0.18"

Explanation:

`10\% \ of \ 50= 5 \text{are left handed}\\\\45\ \text{are right handed}\\\\`

If the probability exactly 4 were heft handed

`=^(50)_(C_4)* ((5)/(50))^4 * ((45)/(50))^(4b)\\\\=^(50)_(C_4) * (0.1)^4 * (0.9)^(4b)\\\\=230300 * (0.1)^4 * (0.9)^(4b)\\\\=0.181 \approx 0.18`