5) NAU has 25,230 students. The New Student Association surveyed 400 incoming freshmen to find out more about their first semester schedules. 120 freshmen are enrolled in math, 220 are enrolled in English, and 55 are enrolled in both. Draw a Venn diagram to represent these results.

Use your Venn diagram to answer the questions below.

6) P( English)

7) P(Math English)

 

(9 points) A dodgeball team either wins, ties, or loses each game. If they lose a game, their probability of winning the next game is 0 and their probability of losing the next game is 0.9. If they tie a game, their probability of winning the next game is 0.8 and their probability of losing the next game is 0.1. If they win a game, their probability of winning the next game is 0.5 and their probability of losing the next game is 0.2. Write all answers as integers or decimals. If the team has respective probabilities 0.7, 02, and 0.1 of a win, tie, or loss for their first game, what is the probability that they will win their second game? If the team has probabilities 0.7,02, and 0.1 of a win, tie, or loss for their first game respectively, what is the probability that they will tie their third game? If the team has probabilities 0.7, 0.2, and 0.1 of a win, tie, or loss for their first game respectively, what is the probability that they will lose their fourth game?

3. -16.66 points WaneFMAC6 P2.010 Check whether the given function is a probability density function. If a function fails to be a probability density function, say why. f(x)--2xe on-o, 0] Yes, it is a probability function. No, it is not a probability function because fx) is not greater than or equal to O for every x. No, it is not a probability function because fx) is not less or equal to than 0 for every x. No, it is not a probability function because fx) dx 1. No, it is not a probability function becausex) dx 1. Submit Answer Save Progress

An urn contains 3 one-dollar bills, 1 five-dollar bill and 1 ten-dollar bill. A player draws bills one at a time without replacement from the urn untile a ten-dollar bill is drawn. Then the game stops. All bills are kept by the player. Determine: (A) The probability of winning $17. (B) The probability of winning all bills in the urn. (C) The probability of the game stopping at the second draw. (A) What is the probability of winning $17? (B) What is the probability of winning all bills in the urn? (C) What is the probability of the game stopping at the second draw?