You are looking for a great person to spend your life with. the prior probability that someone is a great match is 0.1 (and i’m being generous here). if the person is a great match, their probability of having a good job is 0.8, whereas 30% of people who are not a great match also have a good job. on the first date you learn that the person has a good job.

what is the probability that they are a great match?

a. 0.2

b. 0.34

c. 0

d. 0.1

e. 0.23

E. 0.23

Step-by-step explanation:

given that you are looking for a great person to spend your life with.

The prior probability that someone is a great matchi.e. event A is 0.1

Their probability of having a good job is 0.8,i.e. P(B/A)

whereas 30% of people who are not a great match also have a good job.

P(B/A')

On the first date you learn that the person has a good job.

Required probability =  the probability that they are a great match/the person has a good job

=P(A/B) =

since A and A' are mutually exclusive and exhaustive.

=

After rounding off we find that

answre is option E) 0.23

(x+3)(x+7)

step-by-step explanation:

94

step-by-step explanation:

average the numbers and use a variable to figure out the minimum to get a 90.

(79+94+91+92+x)/5=90

x = 94