Seventy-six percent of adults want to live to age 100. You randomly select five adults and ask them whether they want to live to age 100 . The random variable represents the number of adults who want to live to age 100 . Complete parts (a) through (c) below.
012345
Number of Adults
012345
Number of Adult
012345
Number of Aduits
012345
Number of Adults
What is the shape of the histogram?
Symmetric
Skewed left
Skewed right
(c) What values of the random variable $\mathrm{x}$ would you consider unusual?
The value(s) would be unusual because the associated probability (probabilities) is(are)
0.05

Step 1 ：This problem is about a binomial distribution. The shape of the histogram for a binomial distribution depends on the probability of success (p). If p is close to 0.5, the distribution is approximately symmetric. If p is close to 0 or 1, the distribution is skewed. In this case, p = 0.76, so the distribution is skewed to the right.

Step 2 ：For the second part of the question, we need to find the values of the random variable x that would be considered unusual. In a binomial distribution, values are considered unusual if their associated probabilities are less than or equal to 0.05.

Step 3 ：Given that n = 5 and p = 0.76, we calculate the probabilities for each possible value of x (from 0 to 5). The probabilities are [0.0007962623999999999, 0.012607487999999998, 0.0798474239999999, 0.2528501759999998, 0.40034611199999987, 0.2535525376].

Step 4 ：From these probabilities, we can see that the values of x that are associated with probabilities less than or equal to 0.05 are 0 and 1.

Step 5 ：\(\boxed{\text{Final Answer: The shape of the histogram is skewed right. The values of the random variable x that would be considered unusual are 0 and 1.}}\)