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.
complete
the sum of the probabilities in the distribution is
done

Explanation:

Step1: Sum all given probabilities

$0.0467 + 0.1866 + 0.3110 + 0.2765 + 0.1382 + 0.0369$

Step2: Calculate the total sum

$0.0467+0.1866=0.2333$; $0.2333+0.3110=0.5443$; $0.5443+0.2765=0.8208$; $0.8208+0.1382=0.959$; $0.959+0.0369=0.9959 \approx 1$

Answer:

1