Question

A group of people were given a personality test to determine if they were type A or Type B. The results are shown below.
Male Female
Type A 65 85
Type B 38 12

Answer 1

Im writing the answers

Answer 2

Compare P(Male or type B) with P(male / Type B)
P(Male or Type B) > P(Male /Type B)
P(male or type B) = P(Male / type B)
P(Male or Type B) < P(Male/ type B)
There is not enough information

Answer 3

to find the P(male or Type B)

P(male) + P(type B) - P(male and Type B)

do you know how to find the probability of someone in this group being male ?

Answer 4

No please expalain

Answer 5

p(male) = Total males/total people

add up the totals in your table

Answer 6

how many males in the survey?

Answer 7

65 + 38 =

Answer 8

103

Answer 9

how many people in the survey?

Answer 10

Males and females

Answer 11

200

Answer 12

right so p(male) = 103/200

Now do the same thing to find P(type B)

Answer 13

how many people were type B?

Answer 14

males and females

Answer 15

50

Answer 16

right, and what was total # of people?

Answer 17

200

Answer 18

So 200/50 ?

Answer 19

so P(type B) = 50/200

Answer 20

Which equals 0.25

Answer 21

p(male or type B) = 103/200 + 50/200 - p(male and type B)

how many people in the survey were male and type b?

Answer 22

look at the table..

Answer 23

38 were male

Answer 24

p(male or type B) = 103/200 + 50/200 - 38/200

Answer 25

the denominators are all the same, so add up the numerators and divide by 200

Answer 26

.955

Answer 27

103+50-38 = 115/200

Answer 28

or ,575

Answer 29

Alright I forgot to subtract

Answer 30

P ( male / Type B) means
probability that someone is male given they are type B
the slash means given

Answer 31

in this case we dont care about everyone, we just care about the people who were type B

Answer 32

Alright

Answer 33

look at the type B row

males/ total of the type B people

Answer 34

P ( male / Type B) = 38/ 50

Answer 35

38/50

Answer 36

Ok

Answer 37

or .76

Answer 38

So would the answer be C ?

Answer 39

which is bigger?

Answer 40

Right!

Answer 41

agggg Thanks sooo much <333

Answer 42

@malice ;)