Question

Algebra 2 Help:

A group of people were given a personality test to determine if they were Type A or Type B. The results are shown in the table below:


Male Female
Type A 55 75
Type B 48 22


Compare P(Male | Type B) with P(Male or Type B).
A) P(Male | Type B)> P(Male or Type B)
B) P(Male | Type B)< P(Male or Type B)
C) P(Male | Type B) = P(Male or Type B)
D) There is not enough information.

Answer 1

lol i will close my version

Answer 2

lets compute
A) P(Male | Type B)

Answer 3

there are \(48+22=70\) type B
of those, \(48\) are male, so
P(Male | Type B) = \(\frac{48}{70}\)

Answer 4

Alright.

Answer 5

P(Male or Type B) is next

Answer 6

there are a total of 70 type B, and another 55 males for a total of \(70+55=125\) of one or the otehr

Answer 7

\[55+75+48+22=200\]so
P(male or type B) is \(\frac{125}{200}\)

Answer 8

I'm following so far.

Answer 9

which of course reduces to \(\frac{5}{8}\)

Answer 10

compare the two numbers
\[\frac{24}{35}\] vs
\[\frac{5}{8}\] to see which one is larger and you are done

Answer 11

The 24/35 is larger. . .?

Answer 12

idk i didn't check hold on

Answer 13

yes, it is !

Answer 14

So the answer would be A?

Answer 15

P(Male | Type B)> P(Male or Type B)

Answer 16

yes i believe that is the correct one

Answer 17

Thank You<3