47% of U. S. adults have very little confidence in newspapers. You randomly select 10 U. S. adults. Find the probability that the number of U. S. adults who have very little confidence in newspapers is (a) exactly five, (b) at least six, and (c) less than four

Step-by-step explanation:

a. This is a binomial probability  distribution problem expressed as:

Where:

Given n=10, p=0.47 the probability of exactly 5 is calculated as:

Hence, the probability that exactly 5 adults have very little confidence is 0.2417

b. Given n=10, p=0.47,

-We substitute our values in formula and  the probability of at least 6 is calculated as:

Hence, the probability of at least 6 adults is 0.3056

c. The probability of of less that four adults is calculated as:

Hence, the probability that less that 4 adults have confidence in the newspapers is 0.2255