Suppose that events E and F are independent, P(E) 0.3, and P(F) 0.8. What is the...
Suppose that events E and F are independent, P(E)=0.7, and P(F)=0.8. What is the P(E and F)? The probability P(E and F) is ______
if E and F are independent events, find P(F) if P(E)=0.2 and P(E U F)= 0.3
e 1 2 لنا 4 5 P(0.3 0.1 0.1 0.3 0.2 A pointer is spun once on a circular spinner. The probability assigned to the pointer landing on a given integer (from 1 to 5) is given in the table on the right. Given the following events, complete parts (A) and (B) below. E = pointer lands on an even number F = pointer lands on a number less than 4 (A) Find P(FIE). (Type an integer or a decimal...
Let E and F be two events of an experiment with sample space S. Suppose P(E)= 0.4, P(F)=0.3, P(E U F) =0.5, Find P(F|E) and determine if the two events are independent. A) P(F|E)= 3/4, E and F are independent. B) P(F|E)= 3/4, E and F are not independent. C) P(F|E)=1/2 , E and F are independent. D) P(F|E)= 1/2, E and F are not independent.
Suppose E and F are independent events. Find Pr[E′∩F] if Pr[E]=1/3 and Pr[F]=1/3 A and B are independent events. If Pr(A∩B)=0.24 and Pr[A]=0.3, what is Pr[B]?
[15] 4. Let E and F be events of sample space S. Let P(E) = 0.3, P(F) = 0.6 and the P(EUF) = 0.7. a) Fill in all probabilities in the Venn diagram shown. S b) Find P(EnF). c) Find P(ENF). d) Find the P(E|F). e) Are E and F independent events? Justify your answer.
(1 point) If P( E F) = 0.084, P(E|F) = 0.24, and P(F|E) = 0.3, then (a) P(E) = (b) P(F) = (c) P(EUF) = (d) Are the events and F independent? Enter yes or no
1. If two events are independent how do we calculate the and probability, P(E and F), of the two events? (As a side note: this "and" probability, P(E and F), is called the joint probability of Events E and F. Likewise, the probability of an individual event, like P(E), is called the marginal probability of Event E.) 2. One way to interpret conditional probability is that the sample space for the conditional probability is the "conditioning" event. If Event A...
3.2 Independent and Mutually Exclusive Events 40. E and Fare mutually exclusive events. P(E) = 0.4; P(F) = 0.5. Find P(E|F)41. J and K are independent events. P(J|K) = 0.3. Find P(J) 42. U and V are mutually exclusive events. P(U) = 0.26: P(V) = 0.37. Find:a. P(U AND V) =a. P(U|V) =a. P(U OR V) =43. Q and Rare independent events P(Q) = 0.4 and P(Q AND R) = 0.1. Find P(R)
Suppose that E, F, and G are events with P(E) = 8/25 , P(F) = 11/50 , P(G) = 23/100 , E and F are mutually exclusive, E and G are independent, and P(F | G) = 20/23 . Find P(E ∪ F ∪ G).