The first three questions refer to the following information: Suppose a basketba
ID: 3268885 • Letter: T
Question
The first three questions refer to the following information:
Suppose a basketball team had a season of games with the following characteristics:
60% of all the games were at-home games. Denote this by H (the remaining were away games).
40% of all games were wins. Denote this by W (the remaining were losses).
35% of all games were at-home wins.
Question 1
Of the at-home games, we are interested in finding what proportion were wins. In order to figure this out, we need to find:
O P(H and W)
O P(H | W)
O P(W | H)
O P(H)
O P(W)
Question 2
Again here is the information about the characteristics of a basketball team's season:
60% of all the games were at-home games. Denote this by H (the remaining were away games).
40% of all games were wins. Denote this by W (the remaining were losses).
35% of all games were at-home wins.
Of the at-home games, what proportion of games were wins? (Note: Some answers are rounded to two decimal places.)
O .21
O .24
O .35
O .58
O .88
Question 3
Again here is the information about the characteristics of a basketball team's season:
60% of all the games were at-home games. Denote this by H (the remaining were away games).
40% of all games were wins. Denote this by W (the remaining were losses).
35% of all games were at-home wins.
If the team won a game, how likely is it that this was a home game? (Note: Some answers are rounded to 2 decimal places.)
O .14
O .21
O .24
O .58
O .88
Question 4
Let A and B be two independent events. If P(A) = .4, what can you say about P(A | B)?
O It is equal to .16.
O It is equal to .4.
O Cannot find it since P(A and B) is not known.
O Cannot find it since P(B) is not known.
O Cannot find it since P(A and B) both and P(B) are not known.
Question 5
Dogs are inbred for such desirable characteristics as color; but an unfortunate by-product of such inbreeding can be the emergence of characteristics such as deafness. A 1992 study of bull terriers (by Strain and others, as reported in The Veterinary Journal) found the following:
50% of the studied bull terriers are white.
11% of the studied bull terriers are deaf.
20%
Based on the results of this study is "being white" independent of "being deaf"?
A. No, since .50 is not equal to .20.
B. No, since .50 * .11 is not equal to .20.
C. No, since .11 is not equal to .20.
D. Yes, since .50 * .11 is not equal to .20.
E. Yes, since .11 is not equal to .20.
(i)50% of the studied bull terriers are white.
(ii)11% of the studied bull terriers are deaf.
(iii)20%
of the white bull terriers are deaf.Explanation / Answer
Hi, please post each question separately to get answers as per the forum rules. Here' answer to the 4th question for your help:
4) A and B are independent events
P(A) = .40
P(A | B) is being asked
Now, P(A | B) = P(AB) / P(B)
Events A and B are independent if the equation P(AB) = P(A) P(B) holds true. Therefore,
So, P(AB)/P(B) = P(A)*P(B)/P(B) = P(A) = .40
B is the right option, It is equal to .40
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