Use the following information to answer the next ten exercises. Forty-eight perc
ID: 3064497 • Letter: U
Question
Use the following information to answer the next ten exercises. Forty-eight percent of all Californians registered voters prefer life in prison without parole over the death penalty for a person convicted of first degree murder. Among Latino California registered voters, 55% prefer life in prison without parole over the death penalty for a person convicted of first degree murder. 37.6% of all Californians are Latino. 44. Find P(C). 45. Find P(L). 46. Find P(C|L). 47. In words, what is C|L? 48. Find P(L AND C). 49. In words, what is L AND C? 50. Are L and C independent events? Show why or why not. 51. Find P(L OR C). 52. In words, what is L OR C? 53. Are L and C mutually exclusive events? Show why or why not.
Explanation / Answer
Let
C = Californians registered voters prefer life in prison without parole over the death penalty for a person convicted of first degree murder
L = Californians are Latino
44)
P(C) = 0.48
45)
P(L) = 0.376
46)
P(C|L)= 0.55
47)
C|L means, gives the person chosen is a latino californian, the person is a registered voter who prefers life in prison without parole for a person convicted of first degree murder.
48)
P(L and C) = P(L)*P(C|L)
= 0.376* 0.55= 0.2068
49)
L and C is the event taht the person choen is a latino california registered voter who prefers life without parole over the death penalty for a person convicted of first ddegree murder.
50)
No , because P(C) does not equal to P(C|L)
51)
P(L or C) = P(L) + P(C) - P(L and C)
= 0.376 + 0.48 - 0.2068 = 0.6492
52)
L OR C is the event that the person chosen is a Latino Californian or is a California registered voter who prefers life without parole over the death penalty for a person convicted of first degree murder.
53) P(L and C) = 0
P(L ) * P(C) = 0.376 * 0.55 = 0.2068
No, because P(L AND C) does not equal 0.