As we know
and
a. So
b. Similarly,
c. Now
d. For independent events
Now
So answer is no.
(1 point) If P( E F) = 0.084, P(E|F) = 0.24, and P(F|E) = 0.3, then...
(1 point) If P(En F) = 0.036, P(E|F) = 0.12, and P(F|E) = 0.4, then (a) P(E) = (b) P(F) = (c) P(EUF) = (d) Are the events E and F independent? Enter yes or no
[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. If P(A) = 0.4, P(B) = 0.6, P(C) = 0.3, P = 0.24, P = 0.15 and P(A U C) = 0.82. Which of the events A, B and C are independent? Give reasons for your answers. (A B) We were unable to transcribe this image
if E and F are independent events, find P(F) if P(E)=0.2 and P(E U F)= 0.3
Suppose that events E and F are independent, P(E) 0.3, and P(F) 0.8. What is the P(E and F)? The probability P(E and F) is (Type an integer or a decimal.)
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]?
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...
e and E and P events associated with S. Suppose that Pr(E)-0.5, Pr(F) -0.4 (a) If E and F are independent, calculate: i. Pr(EnF) ii. Pr(EUF) iii. Pr(El) iv. Pr(FIE) (b) If E and F are mutually exclusive, calculate: i. Pr(ENF) ii. Pr(EUF) iii. Pr(E|F) iv. Pr(FIE)
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.
QUESTIONS Let E and F be two events of an experiment, and suppose Pr(E)=0.3. Pr{f}=0.2 and Pr(ENF)=0.15. Find each of the following probabil Round answers to deal places where needed Pr EUF) PrE) Pr{E' F) Pr{EF)