**Insurance Policy Calculation for a 32-Year-Old Male:** There is a 0.9987 probability that a randomly selected 32-year-old male lives through the year. A life insurance company charges $169 for insuring that the male will live through the year. If the male does not survive the year, the policy pays out $110,000 as a death benefit. **Questions:** (a) From the perspective of the 32-year-old male, what are the monetary values corresponding to the two events of surviving the year and not surviving? - **The value corresponding to surviving the year is** $____ - **The value corresponding to not surviving the year is** $____ (b) If a 32-year-old male purchases the policy, what is his expected value? - **The expected value is** $____ *(Round to the nearest cent as needed.)*

Suppose that the probability that a child living in an urban area in the United States is obese is 20%. If a social worker sees 15 children living in urban areas, what is the probability that 5 are obese? Enter response as .xxxx

You purchase a brand new car for $15,000 and insure it. The policy pays 78% of the car's value if there is an issue with the engine or 30% of the car's value if there is an issue with the speaker system. The probability of an issue with the engine is 0.009, and the probability there is an issue with the speaker system is 0.02. The premium for the policy is p. Let X be the insurance company's net gain from this policy. (a) Create a probability distribution for X, using p to represent the premium on the policy. Enter the possible values of X in ascending order from left to right. P(X) (b) Compute the minimum amount the insurance company will charge for this policy. Round your answer to the nearest cent

Sickle cell anemia is an inherited disease in which red blood cells become distorted and deprived of oxygen. A person with two sickle cell genes will have the disease, but a person with only one sickle cell gene will have a mild, non-fatal anemia called sickle cell trait. Using S to represent the sickle cell gene, and s a healthy gene, the table shows the four possibilities for the children of two Ss parents. Find the probability that these parents give birth to a child who has sickle cell anemia. Second Parent First Parent Ss sS P(child has sickle cell anemia) =| (Type an integer or a simplified fraction.)