Agroup of people were given a personality test to determine if they were type a or type b. the results are in the table shown below. male and type a=55 male and type b=48 female and type a=75 female and type b=22 compare p(male or type b) with p(male | type b). a. p(male or type b) > p(male | type b) b. p(male or type b) = p(male | type b) c. p(male or type b) < p(male | type b) d. there is not enough information. i think it is c. because i got 0.63 for p(make or type b) and 0.69 for p(male | type b). am i right? pls

C. P(Male\ Or\ TypeB) < P(Male|Type\ B)

Step-by-step explanation:

We are given,

The table representing the gender with the personality type is,

                     Type A                  Type B              Total

Male                   55                          48                 103

Female               75                          22                  97

Total                  130                          70                 200

The conditional probability of event A given that event B is P(A|B), where,

.

So, we have that,

Thus, we have that,

So, option C is correct.

part a: 1.08

part b: 27.59