In the two upcoming basketball games, the probability that UTC ...

[ap345]

In the two upcoming basketball games, the probability that UTC will defeat Marshall is .63, and the probability that UTC will defeat Furman is .55 . The probability that UTC will defeat both opponents is .3465.
 a. What is the probability that UTC will defeat Furman given that they defeat Marshall?
  b. What is the probability that UTC will win at least one of the games?
  c. What is the probability of UTC winning both games?
  d. Are the outcomes of the games independent? Explain and substantiate your answer.

Question 2

A random sample of 100 people was taken. Eighty-five of the people in the sample favored Candidate A. We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 80. The p-value is
 a. .2112.
   b. .05.
   c. .025.
   d. .1056.

[durant1234]

Answer to Question 1

a. .55
b. .8335
c. .3465
d. Yes, the probability of defeating Furman (.55) is equal to the probability of defeating Furman given that they have defeated Marshall (.55).

Answer to Question 2

d

[ap345]

Thanks for the timely response, appreciate it

[diana chang]

TYSM