If P(A) = 0.4, P(B) = 0.2, and P(A and B) = 0, which of the following is true? A.Events A and B are independent and mutually exclusive. B.Events A and B are independent but not mutually exclusive. C.Events A and B are mutually exclusive but not independent. D.Events A and B are neither independent nor mutually exclusive. E.Events A and B are independent but whether A and B are mutually exclusive cannot be determined from the given information.

given data,p(A)=0.40p(B)=0.20p(A and B)=0which statement is true=?

Answered: If P(A) = 0.4, P(B) = 0.2, and P(A and…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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2. Suppose S = {1,2,3,4,5,6,7,8,9,10} and let A = {1,2,3,4,5}, B = {4,5,6,7,8}, and C = {7,9}. Find the following probabilities:
If P(A A. B. C. D. B) = 0 A and B are P(A) + P(B) = 1 independent events. A and B are mutually exclusive events. either P(A) = 0 or P(B) = 0.
If two events are mutually exclusive, then the following is true: a. They cannot be mutually exclusive. b. The events may occur concurrently. c. They could also be complementary. d. They are independent.
A. If Events E and F are disjoint events, then P (F | E) =..... B. For events E and F, the probability P (E) -P (ENF) is equal to the probability C.If E and F are independent events, then P (F | E) =..... D. For events E and F, if ECFthen P (F E) = ........ select 1. P(ENF) selectv 2.0 select 3. P(F) selectv 4.1
16. Given that two events A and B are mutually exclusive, P(An B) is: a. b. C. d. 17. At a pet store you can choose between 6 fish species, 2 mini frog species, and 4 plant species. You want your tank to contain one fish, one frog, and one plant. How many different setups are possible for your tank? a. 12 b. 48 C. 3 d. 0 0.50 1 None of these a. b. 18. A set of data is normally distributed with a mean of 7 and a standard deviation of 2.5. Calculate the z- score for the data value x = 5: C. d. 122 0.80 -0.80 0.90 -0.90
On Mr. Casper's debate team at Thunderbird High School, 20% of the members are Sophomores, 35% are Juniors and 45% are Seniors. A team member is selected randomly to give the closing argument for the team. If a sophomore gives the closing argument, the team has a probability of 0.25 of winning the debate. If a junior gives the closing argument, the probability of winning is 0.6. If a senior closes, the probability of winning is 0.85. (a) Find the probability that the team wins the debate. b sketch a tree diagram to model this process
. Given events A, B and C such that A and B are mutually exclusive, A is a subset of C, P(B) = 1/2, P(C) = 3/4, P(B and C) = 3/8, and P(A and C) = 1/4, Calculate: P(A) P(C and notA) P(B or C) P(notA or B) P(B | notC)
Thirty-five percent of the cars in Israel are new. Out of the new cars, 60% are white. Overall, 45% of the cars in Israel are white. If event A is “New” and event B is “White”, which of the following is correct? a. There is not enough data to answer the question. b. Events A and B are dependent. c. Events A and B are independent d. Event A and B are mutually exclusive.
In a certain university the probability of randomly selecting a student that studies mathematics is 0.6 while the probability of randomly selecting a student studying literature is 0.45. Which of the following statements CAN NEVER BE TRUE? I. The probability of selecting a student studying mathematics given that he studies literature is 0. II. The probability of selecting a student that studies both science and mathematics is 0.27. O Both Statements I and Il. O StatementI only. O Neither Statement I not I. O Statement II only.
Answer these true or false's
1. If P(A|B) = 0.5 and P(B) = 0.5, then the events A and B are independent. * true false

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	A.	Events A and B are independent and mutually exclusive.
	B.	Events A and B are independent but not mutually exclusive.
	C.	Events A and B are mutually exclusive but not independent.
	D.	Events A and B are neither independent nor mutually exclusive.
	E.	Events A and B are independent but whether A and B are mutually exclusive cannot be determined from the given information.