Suppose that P(E)=0.15, P(F)=0.45 and P(F|E)=0.7 Are E and F independent? Determine whether the events E and F are independent or dependent.  E: You gain weight F: You eat fast food for dinner every night.

Suppose that E and F are two events and that P(E)=0.8 and P(F|E)=0.5. What is P(E and F)​?

The events are approximately independent because 0.700 = 0.700.  The events are not independent because 0.700 = 0.700.  The events are approximately independent because 0.731 ≠ 0.700.  The events are not independent because 0.731 ≠ 0.700.

Classify the events as dependent or independent. Events A and B where P(A)= 0.6, P(B)=D0.7, and P(A and B) = 0.41

From Actuarial Math A telemarketer of an insurance company makes repeated calls to persons on a computer generated list. The probability of making a sale on any individual call is p= 0.1. Successive calls are independent. Let N be the number of unsuccessful calls before the first sale. What is the probability of making exactly 5 unsuccessful calls before (a) the third sale is made? (b) Find E(N) and Var(N) using E(N) = rß and Var(N) = rß(1+ B). %3D

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Decide whether or not the two events in question are independent or whether it is not possible to tell. Justify your answers. P(B) = 0.8 and P(B| A) = 0.6

Use the Test for Independence to determine if events A and B are independent. P(A) = 0.7, P(B) = 0.8, P(An B) = 0.56 Select the correct choice below and fill in the answer box(es) to complete your choice. (Type an integer or a decimal.) O A. Events A and B are not independent because P(A U B)= | and P(A) + P(B) - P(An B)= O B. Events A and B are independent because P(An B) = 0.56 and P(A).P(B) = O C. Events A and B are independent because P(A U B)= and P(A) + P(B)- P(An B) = O D. Events A and B are not independent because P(An B) = 0.56 and P(A) P(B) =.

Please see the pictures below. I need help with both questions please and thank you.

K 7 The probability that a bachelor's degree recipient in 2014 majored in biology is 20 Set-up an equation to find the odds of the event occurring. P(E) P (E') 20 20 (Type whole numbers.) .. 6 The odds of a bachelor's degree recipient in 2014 majoring in biology occurring are (Type whole numbers.) Find the odds of the event occurring. to