A track star runs two races on a certain day. The probability that he wins the...
Quiz 2 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 Find 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 given that he wins the...
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...
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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...
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...
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...
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...
There are two traffic lights on the route used by a certain individual to go from home to work. Let E denote the event that the individual must stop at the first light, and define the event F in a similar manner for the second light. Suppose that P(E) = 0.5, P(F) 0.2, and P(E n F) 0.12. (a) What is the probability that the individual must stop at at least one light; that is, what is the probability of...
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5. What is the probability that the sum of the numbers on two dice is even when they are rolled? 6. What is the probability that a card selected at random from a standard deck of 52 cards is an ace or a heart? What is the probability that a positive integer not exceed- 100 selected at random is divisible by 5 or 7? nd the probability of winning a lottery by selecting the t...
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MAT150-Introduction to Statistics Writing Assignment # 3 Topic: Probability Write a brief essay in which you summarize the main points Please include formulas if needed. Discuss the concepts of mutually exclusive events and independent events. List several examples of each type of event from everyday life You need to answer only two questions. One of them must be the first question. Then you can choose between the second or third question. 1. If A andB are mutually...