Rework problem 10 from the chapter 3 review section of your text, involving events EE, FF, and GG. Assume that Pr[E]=0.3, Pr[F]=0.3, and Pr[G]=0.2. Also assume that Pr[E∪F]=0.51, Pr[E∩G]=0.06, and  Pr[F∪G]=0.43. Determine if each of the following pairs of events is dependent or independent. (1) E and F A. Dependent B. Independent (2) E and G A. Independent B. Dependent (3) F and G A. Dependent B. Independen

In a soon to be released Halloween martial arts movie, a pumpkin has a starring role. Because of the rather violent nature of the film, the producers have also hired a stunt pumpkin.  Suppose the featured pumpkin appears in 40% of all the film scenes, the stunt pumpkin appears in 30% of the film scenes and the two appear simultaneously in 5% of the scenes. Draw the Venn diagram to reflect information given in the problem. Are the events the stunt pumpkin appearing in a scene and the featured pumpkin appearing in a scene mutually exclusive (disjoint)? Explain how you know. Are the events the stunt pumpkin appearing in a scene and the featured pumpkin appearing in a scene independent? Explain how you know. What is the probability that in a given scene that only the stunt pumpkin appears?   You have three events A, B, & C. Suppose: Event A is the event of drawing a king from a deck of 52 cards on the first draw. Event B is the probability of drawing a queen of hearts on the…

30% of students take Physics101 and 20% take Math146. Of the students who take Physics 101, 25% also take Math146. The events taking Physics 101 and Math146 are O a. independent O b. dependent O c. Disjoint d. None of the above

Let A and B be two events with P(A and Bc) = 1. Find P(B). Recall that Bc denotes the complement of the event B.

Suppose two variables A and B are correlated. Increase or Decrease a.) If A and B are positively correlated, as A increases in value, B will     .b.) If A and B are negatively correlated, as A increases in value, B will     .c.) If A and B are positively correlated, as A decreases in value, B will     .d.) If A and B are negatively correlated, as A decreases in value, B will     .

Event E and event F are independent. Fiven P(E) = 0.3, P = (F) 0.5, compute P(E and F) and P(E or F). a) P(E and F) = b ) P(E or F)

1. A local health official notices that as the number of people on the beach decreases, the number of new cases of COVID-19 also decreases. This would be an example of what type of relationship? A positive relationship. A negative relationship. A strong relationship. A moderate relationship.