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

For a binomial distribution \(B(n,p)\), if \(p = 0.5\), the distribution is symmetric. If \(p
eq0.5\), the distribution is skewed.
Here \(n = 6\) and \(p=0.4
eq0.5\).

Answer:

skewed