Question

according to a survey, 40% of adults watch a particular television show. six adults are selected at random. the binomial distribution below shows the probability that k out of 6 adults watch the television show. p(k = 0)=0.0467 p(k = 1)=0.1866 p(k = 2)=0.3110 p(k = 3)=0.2765 p(k = 4)=0.1382 p(k = 5)=0.0369 the distribution is symmetric. skewed. both symmetric and skewed. done

Explanation:

Step1: Recall binomial - distribution symmetry property

A binomial distribution $B(n,p)$ is symmetric when $p = 0.5$, skewed left when $p>0.5$ and skewed right when $p < 0.5$. Here, $n = 6$ and $p=0.4<0.5$.

Answer:

skewed