Suppose a life insurance company sells a ​$290,000 ​1-year term life insurance policy to a 20​-year-old female for $330. According to the National Vital Statistics​ Report, 58(21), the probability that the female survives the year is 0.999544. Compute and interpret the expected value of this policy to the insurance company.

A recent survey showed that 94 adults out of a sample of 500 have high blood pressure. However, 108 of those studied reported being unwilling to change their diet. Based on this sample, if an adult is chosen at random, what is the probability that he or she is open to trying to eat more healthfully? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

In a 2018 study, it was determined that 14% of Americans smoke. In a separate study, it was determined 9% of smokers die of lung cancer, and 1% of non-smokers die of lung cancer. Assuming these values hold true today, find the following: d. If a person died of lung cancer, what is the probability they were a smoker?

Gabrielle has purchased the 2-year extended warranty from a retailer to cover the value of hers new cellphone in case if it gets damaged or becomes inoperable for the price of $25. Gabrielle's cellphone is worth $1400 and the probability that it gets damaged or becomes inoperable during the length of the extended warranty is estimated to be 4%. Let XX  be the retailer's profit from selling the extended warranty. Answer the following questions: 1. Create the probability distribution table for XX :  XX  outcome profit xx ,$  P(X=x)P(X=x)    the cellphone gets damaged or becomes inoperable       no claim filed     2. Use the probability distribution table to find the following:  E[X]=μX=E[X]=μX= dollars. (Round the answer to 1 decimal place.)  SD[X]=σX=SD[X]=σX= dollars. (Round the answer to 1 decimal place.)