131_S&P_Anirban_Subs

Determine if the events are independent or dependent.

• Independent

• Dependent

Determine if the events are independent or dependent.

• Independent

• Dependent

Let M represent the event of randomly selecting a male. Let S represent the event of randomly selecting a person that drives a SUV.

Determine if the events M and S are independent.

• Not Independent

• Independent

Which statement/s is/are true?

I. Independent events can be disjoint.
II. If two events are not disjoint, then they must be independent.
III. If two events are independent, then they must not be disjoint.

• A. I and III only

• B. I, II, and III

• C. II and III only

• D. III only

Are the events "first class passenger" and "survived" independent?

• Independent

• Not Independent

Use the probabilities in the Venn Diagram to determine if the events A and B are independent.

• A and B are independent because (0.25)(0.6) = 0.15.

• A and B are not independent because (0.25)(0.6) = 0.15.

• A and B are not indepedent because (0.4)(0.75) = 0.3 not 0.15.

• A and B are indepedent because (0.4)(0.75) = 0.3 not 0.15.

Given that P(A) = 0.54 and P(B) = 0.21 and P(A and B) = 0.15, determine if the events A and B are independent.

• Yes. (0.54)(0.21) does not equal 0.15 which means the events A and B are independent.

• Yes, P(A and B) is not zero so the events must be independent.

• No. P(A and B) = 0.15 which is not zero so the events are not independent.

• No. (0.54)(0.21) = (0.1134) which does not equal the stated value of P(A and B) which means A and B are not independent.

Assume the events A and B are independent events. If P(A and B) = 0.25 and P(A) = 0.4, what is P(B)?

• 0.65

• 0.625

• 0.15

• 1.6

If the probability that a student participates in a math competition is 0.4, and the probability that a student participates in the math competition and wins the science competition is 0.25, what is the probability that the student wins the science competition?

• 0.50

• 
  0.625

• 
  0.40

• 
  0.25

Let A and B be independent events. If P(A) = 0.5 and P(B) = 0.26, what is P(A and B)

• 0.52

• 0.13

• 0.24

• More information is needed to determine this value.