1. Which of the following are not probabilities?Circle them. 0.03 V2 1.38 160% (4)/(5) 31 -0.49 76% -0.77 2.If S= 1,2,3,4,5,6,7,8,9,10,11 and A is the event that the number is less than or equal to 5 and B is the event that the number is even. a. A= b. B={ P(B)= c. Find P(A and B). d. Find P(A or B) e. Are A and B mutually exclusive events? 3. Are the following pairs of events A and B mutually exclusive (ME)?Explain why or why not. a. A pair of dice are tossed. A is the event "one of the dice is a 6"and B is the event "the sum of the dice is 8". Circle one: Mutually Exclusive / Not ME Explanation: b.vehicle is selected at random in a parking lot. A is the event "the selected vehicle is a Ford''and B is the event "the selected vehicle is blue". Circle one: Mutually Exclusive / Not ME Explanation: c.A person is selectec at random. A is the event "the person makes less than 100,000 a year", while B is the event "the person makes over 500,000 year". Circle one: Mutually Exclusive/Not ME Explanation:

1. The probabilities are: 0.03, $$\frac{4}{5}$$ , 31, $$-0.49$$ , $$76\%$$ , $$-0.77$$ . The values 1.38, $$160\%$$ , and 31 are not probabilities because they are greater than 1 or less than 0.
2.
a. A={1,2,3,4,5}
b. B={2,4,6,8,10}
c. $$P(B)=\frac{5}{11}$$
d. $$P(A \text{ and } B)=\frac{2}{11}$$
e. No, A and B are not mutually exclusive events because there are numbers that are both less than or equal to 5 and even (2 and 4).
3.
a. Not ME. Explanation: A is the event "one of the dice is a 6" and B is the event "the sum of the dice is 8". It is possible for both events to occur at the same time, for example, if one die shows a 6 and the other shows a 2.
b. Not ME. Explanation: A is the event "the selected vehicle is a Ford" and B is the event "the selected vehicle is blue". A vehicle can be both a Ford and blue, so the events are not mutually exclusive.
c. ME. Explanation: A is the event "the person makes less than $$100,000 a year" and B is the event "the person makes over$$ 500,000 a year". A person cannot make both less than $$100,000 and over$$ 500,000 in a year, so the events are mutually exclusive.