Given the following graph, what is the shape of the distribution? a. left-skewed
ID: 3300374 • Letter: G
Question
Given the following graph, what is the shape of the distribution? a. left-skewed b. right-skewed c. symmetric d. none of this In a competition, two people will be selected from three finalists, Jim, George, and Helen to receive the first and second prizes. The prize winners will be selected by drawing names from a hat. The possible outcomes can be represented as follows: JG JH GJ GH HJ HG Here, for example, JG represents the outcome that Jim receives the first prize George receives the second prize. a. List the outcomes that comprise the event of Helen wins either first or second prize. b. What is the probability that Helen wins either first or second prize? If A and B are mutually exclusive events and P(A) = 0.35 and P(B) = 0.2, then P(A and B) a. 0.00 b. 0.07 c. 0.105 d. 0.55 e. none of these If A and B are independent events and P(A) = 25 and P(B) = 40 then P(A|B) = a. 0.10 b. 0.25 c. 0.40 d. 0.625 e. none of these If E is an event then P(E) is a value such that a. P(E) > 0 b. P(E)Explanation / Answer
14. This will be a right skewed distribution because the right tail is longer than the left tail.
15. Outcomes where Helen wins the first or second prize
= Outcomes in which H is coming either at first place or at second place
= JH, GH, HJ, HG
16. If A and B are Mutually exclusive then that means they can't occur at the same time. Hence,
P(A and B) = 0
17. If A and B are independent events then P(A and B) = P(A)P(B) = 0.25*0.40 = 0.10
So,
P(A|B) = P(A and B)/P(B) = 0.1/0.40 = 0.25
18. Probability value can only be between 0 and 1, inclusive. Hence, Option B is correct.
19. P(Female) = 57/120 = 0.475
20. P(Female and left handed) = 10/120 = 0.083
21. P(Female | Right handed) = P(Female and right handed)/P(Right handed) = 47/105 = 0.448
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