According to a 2020 article, 69% of men do not wash their hands after using a public restroom. Suppose a random sample of 40 men are selected. What is the probability that at least 30 of them will not wash their hands after using a public restroom? O 0.161 O 0.738 O 0.839 O 0.262

Approximately 20% of U.S. workers are afraid that they will never be able to retire. Suppose 10 workers are randomly selected. a. What is the probability that none of the workers is afraid that they will never be able to retire?

In a representative household telephone survey of 2,876 adults, 15% reported that they own at least one gun. Of those that own a gun, 3% own a handgun. Suppose that one of the 2,876 adults surveyed is randomly selected. a. What is the probability that the adult owns at least one gun? b. What is the probability that the adult owns at least one gun and the gun is a handgun? a. The probability that the adult owns at least one gun is (Simplify your answer. Type an integer or a decimal. Do not round.)

In a survey of consumers aged 12 and​ older, respondents were asked how many cell phones were in use by the household.​ (No two respondents were from the same​ household.) Among the​ respondents, 211answered​ "none,"289 said​ "one," 373 said​ "two," 143 said​ "three," and 138 responded with four or more. A survey respondent is selected at random. Find the probability that​ his/her household has four or more cell phones in use. Is it unlikely for a household to have four or more cell phones in​ use? Consider an event to be unlikely if its probability is less than or equal to 0.05.