Quiz 2 A track star runs two races on a certain day. The probability that he...
A track star runs two races on a certain day. The probability that he wins the first race is 0.7, the probability that he win the second race is 0.6, and the probability that he wins both races is 0.5. Finc the probability of the following events. (5 points) (a) he wins at least one race; (5 points) (b) he wins exactly one race; (2 bonus points) (c) he wins the second race give that he wins the first one?
4 Yone were to answer the quiz at random, what is the probability that one would AT LEAST ONE of the questions right? 2DL?, 3 S'"?? d) BONUS (2 points): If one were to answer the quiz at random, what is the .2>.ns.? probability that one would answer EXACTLY ONE question right? For the following pairs of events, determine if definiti they are independent or not. Use the on of independent to justify your choice: 1) Event A: when a...
9. -/10 points DevoreStat9 2.E.022. My Notes Ask Your Teacher The route used by a certain motorist in commuting to work contains two intersections with traffic signals. The probability that he must stop at the first signal is 0.45, the analogous probability for the second signal is 0.5, and the probability that he must stop at at least one of the two signals is 0.55. (a) What is the probability that he must stop at both signals? (b) What is...
NEED LAST 2 Two individuals, A and B, are finalists for a chess championship. They will play a sequence of games, each of which can result in a win for A, a win for B, or a draw. Suppose that the outcomes of successive games are independent, with P(A wins game) = 0.3, P(B wins game) = 0.2, and P(draw) = 0.5. Each time a player wins a game, he earns 1 point and his opponent earns no points. The...
2. (2 pts) Yatin is teaching an extremely difficult class where he posts a quiz every day, including weekends. The probability that the entire class fails at least one quiz, the same quiz that is, in a month is (0.01)q, where q is the number of days in that month. Suppose that failed quizzes are independent from month to month. If class starts in August, what is the probability that the first quiz failed by the entire class is in...
4. The probability that there is no accident at a certain busy intersection is 95 % on any given day, independently of the other days a) (5 points) Find the probability that there will be no accidents at this intersection during the aext 7 days b) (5 points) Find the probability that next September (which has 30 days) there will be exactly 2 days with accidents. e) (5 points) Find the probability that there is no accident during the next...
The route used by a certain motorist in commuting to work contains two intersections with traffic signals. The probability that he must stop at the first signal is 0.35, the analogous probability for the second signal is 0.55, and the probability that he must stop at at least one of the two signals is 0.8. (a) What is the probability that he must stop at both signals? (b) What is the probability that he must stop at the first signal...
Question 6 Write the correct values in the boxes. For this question, working is not required and will not be marked. Two of many kinds of bets you can make on a horse race are Win' and 'Place'. In each of these you nominate a horse, say 'Neddy', pay some money (your 'stake) and maybe get some money back (your 'payout'). The payout, if paid, is stakexodds, where 'odds is a number greater than 1 specified by the betting agency....
Question Write the correct values in the boxes. For this question, working is not required and will not be marked Two of many kinds of bets you can make on a horse race are ‘win, and Place. In each of these you noininate往horse, say 'Neddy', pay some money (your ‘stake') and maybe get some money back (your 'payout'). The payout, if paid, is stakexodds, where 'odds is a number greater than 1 specified by the betting agency. The odds number...
Problem 2 catcher's mitt before it leaves Foster's fingers! If the team wins a game then the probability that Foster was pitching is 0.8 but only if Foster had at least one day's rest since his last pitching assignment. If Foster does not have a day off and the team still wins, the probability that Foster was pitching drops by half of what it was on the previous day. If the team wins three games in succession from the Toronto...