Compute Probabilities of Binomial Experiments
-Fifty percent of the people that use the Internet order something online. Find the probability that only four of 8 Internet users will order something online.
A) 0.273
B) 0.500
C) 0.004
D) 4.375

Question

Quizplus · Accepted Answer

The probability of exactly 4 out of 8 Internet users ordering something online in a binomial experiment can be calculated using the binomial probability formula: $P(X=k) = \binom{n}{k}p^k(1-p)^{n-k}$, where $n=8$, $k=4$, and $p=0.5$. Plugging these values in, we get $P(4) = \binom{8}{4}(0.5)^4(0.5)^4 = 70 \times 0.00390625 = 0.273$.