Determining Independence in Probability

If A and B are independent, which statement must be true?

• P(A∩B) = 0

• P(A|B) = P(A)

• P(A∪B) = 0

• P(A) + P(B) = 1

What is the probability that the person picked will be a boy given they speak german? 

• .7273

• .4

• .16

• .22

What is the probability that a student plays on a sports team given they play an instrument?

• .7273

• .8

• .55

• .2222

• What is the probability of a student who does community service and does not play sports?

• What is the probability of a student who does community service given that they do not play sports?

• What is the probability of a student who does not play sports given that they do not do community service?

• What is the probability of a student who does not play sports or does not do community service?

Find P(Sophomore |Pass)

• 17/20

• 17/50

• 9/25

• 3/20

Find P(Y|P).

• 0.23

• 0.40

• 0.46

• 0.68

Mary is a good student. The probability that she studies and passes her test is 3/5. If the probability that she studies is 8/9. What is the probability that she passes given that she studies?

• 27/40

• 1.48

• .008

• .0593

Given that a student is male, what is the probability that maths is their favorite?

• 0.491

• 0.225

• 0.443

• .508

Find the chi-squared calculated value for the table.

• 0.486170447

• 1.442392006

• 1.45

• 2

The bigger the chi square statistic, the ________ the p value.

• bigger

• smaller