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1. Which among the following numbers could be the probability of an event? 0.23,

ID: 3057182 • Letter: 1

Question

1. Which among the following numbers could be the probability of an event? 0.23, 0, -1.32 2' 4 2. The probability that event A will occur is PCA) Number of successful outcomes Number of unsuccessful ostcomes A) True B) False A fair coin is tossed two times in succession. The set of equally likely outcomes is {HH, HT, TH, TT). Find the probability of getting the same outcome on each toss. (Write your answer as a reduced fraction.) 3 4. Classify the statement as an example of classical probability, empirical probability, or subjective probability It is known that the probability of hitting a pothole while driving on a certain road is 1 5. Suppose P(E)-0.3, P(F)-0.5, and P(E or F)-0.7. Are the events E and F are mutually exclusive? Explain? 6. Suppose P(E) -0.3, P(F)-0.5, and P[E and F)-0. Are the events E and F are mutually exclusive? Explain? 7. The table below describes the exercise habits of a group of people suffering from high blood pressure. If a person is selected at random from the group, find the probability of getting someone who exercises ally or is a man. (Round your answer to three decimal places) GenderN Occasional exercise Regular exercise Men Women Total No exercise 358 352 710 87 76 163 Total 511 514 1025 86 152 8. A game has three outcomes. The probability of a win is 0.4, the probability of tie is 0.5, and the probability of a loss is 0.1. In a single play of the game, what is the probability of not winning? B) 0.6 C) 0.5 D) 0.33

Explanation / Answer

Answers

Pr1

Probability is a non-negative proper fraction, i.e., 0 p 1. So, all given values except the last (- 1.32) are possible values for the probability of an event. ANSWER

Pr2

False

P(A) = Number of successful outcomes/Total number of outcomes (i.e., total of successful and unsuccessful outcomes)

Pr3

Same outcomes => HH or TT. Since all the four outcomes are equally likely, probability = 2/4 = ½ ANSWER

Pr4

The indicated probability of 1% is based on past happening. Hence, it is

empirical probability. ANSWER