Question

Question 11(Multiple Choice Worth 5 points) (09.03 MC) 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 A) with P(Male or Type A).

Answer 1

Answer:

The answer is P(Female or Type B) > P(Female | Type B)

Step-by-step explanation:

Just took the test.

Also check if you want the answer for males or females before you choose because they are completely different questions

Answer 2

The solution would be like this for this specific problem:

 

$\large P(F) \times P(B )= \frac {97} {200} \times \frac {70}{200} = \frac {97 \times 70} {200 \times 200} = 0.16975$

 

You need to compare the results of: P(female or type B) which is written in correct symbols as:

$\large P (F\cup B)$

and P(female | given type B) which is written in correct symbols as:

$\large P(FlB) \\ \large (F\cup B)=0.835 - 0.17 = 0.665 \\ \large P (FlB) = 0.314 \\ \large P (F \cup B) \ \textgreater \ P (F|B)$

So, the correct answer would be: P (Female or Type B) > P (Female | Type B).