Once per minute, a subway train arrives at the XYZ station with probability p. Every time the train arrived, it is either Green, Red or Blue. Consecutive minutes are independent: for example, knowing that a train arrived or did not arrive at 10:12AM tells you nothing about what will happen at 10:13AM. Trains arriving after 10:00AM always arrive in the following order: Green train always comes first, followed by the Red train, followed by the Blue train. Your train is the Blue Train. You come to the XYZ station at exactly 10:00AM. What is the probability that you will wait exactly 10 minutes for your train?

In a large school, it was found that 79% of students are taking a math class, 70% of student are taking an English class, and 59% of students are taking both.Find the probability that a randomly selected student is taking a math class or an English class. Write your answer as a decimal, and round to 2 decimal places if necessary.Find the probability that a randomly selected student is taking neither a math class nor an English class. Write your answer as a decimal, and round to 2 decimal places if necessary.

Lydia is a project manager and submitted proposals for two different projects, Project X and Project Y to her boss. The probability of getting project X approved is 0.65. The probability of getting project Y approved is 0.77. The probability of getting at least one of the projects approved 0.90. The two projects are independent. True or False

John can take one of two highways, Interstate A and Interstate B, to get to work each day. The probability that there will be a traffic jam on Interstate A on a given day is 0.65, and the probability that there will be a traffic jam on Interstate B is 0.2. The probability that there will be a traffic jam on at least one of Interstate A or Interstate B is 0.8. Determine the probability that both Interstate A and B will be congested. 0.235 None in the list 0.050 0.062 0.765 Submit Answer Tries 0/3 Determine the probability that Interstate B is congested given that Interstate A is congested. 0.250 0.077 0.812 0.062 None in the list Submit Answer Tries 0/3 Determine the probability that there is a traffic jam on Interstate A given that at least one of the Interstates has a traffic jam. 0.062 None in the list 0.250 0.812 0.077

4 percent of a certain company's life insurance policy holders are smokers. For each nonsmoker the probability of dying during the year is 0.014. For each smoker the probability of dying during the year is 0.03.Find the probability that a policy holder who died last year was a smoker.

Kay has an 80% probability of making a free-throw in basketball, and each free-throw is indenpendent. Kay gets to take 2 free-throws, and must make both to win the game. what is the probability that kay's team will win the game?