Answered: Find the probability of the indicated…

Find the probability of the indicated events if P(E)=0.3 , P(F)=0.4 , and P(F|E)=0.3 (a) P(E∩F) (b)P(E∪F) (c) P(FC) (d) Are the events E and F disjoint? Explain

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Find the probability P(E or F) if E and F are mutually exclusive, P(E)=0.34, and P(F)=0.47.

Q: For mutually exclusive events A and B, P(A)=0.32 and P(B)=0.35 Find P(A | B) А) о в) 0.112 c)…

A: We have given that the two events A and B. P(A) = 0.32 P(B) = 0.35

Q: Olivia is contemplating buying a laser printer. The probability that she will buy a printer…

A: Given data is : Probability that she she will buy a printer manufactured by Epson PE=0.21…

Q: Q: A bag contains 12 balls out of which x are white. (i) If one ball is drawn at random, what is the…

A: i): Total balls in bag=12 White balls=x P(drawing a white ball)=x12

Q: Use the equations above to find the missing probability. 13. Event A and Event B are independent a)…

A: 13 a) Given data,P(B)=12P(A and B)=740P(A)=? P(A and B)=P(A)*P(B) 740=P(A)*12P(A)=1440P(A)=720

Q: A= 20 Let P(A) = A%, P(A U B) 0.7. Find P(B) if %|

Q: Prior Probabilities for A1 and A2: P(A1)=0.20, P(A2)=0.40, (A1) and (A2) are mutually exlcusive.…

A: Data given P(A1)=0.20, P(A2)=0.40, (B|A1)=0.20, P(B|A2)=0.05

Q: Recall the multiplication rule for conditional probabilities given events A and B. P(ANB) = P(A)P(B…

A: According to the given information, we have P(A1)=0.80P(B|A1)=0.25P(A2)=0.20P(B|A2)=0.10

Q: If 3 of the electric bulbs manufactured by a company were found to be defective in an hour, find the…

A: Given: 3 of the electric bulbs manufactured by a company were found to be defective in an hour we…

Q: C and D are two events with P(C)=0.4,P(D)=0.5, and P(C|D)=0.4. Calculate P(D|C). Give your answer…

A: Given, C and D are two events with P(C)=0.4, P(D)=0.5, and To find:

Q: Determine P(B|A), If A and B are the events with P(A) = 0.34, P(B) = 0.26 and P(AUB) = 0.49

A: Answer: From the given data, P(A) = 0.34 P(B) = 0.26 P(A∪B) = 0.49

Q: Find the probability that the first traffic light is green given that the second traffic light is…

A: It is given that:P(A)=0.55;P(Ac)=0.45;P(B|A)=0.75P(B|Ac)=0.09;P(B)=0.453The objective is to find the…

Q: The events E, F and G have the following properties: P(E)=0.32 P(F)=0.39 P(G)=0.28P(E)=0.32…

A: given data P(E)=0.32 P(F)=0.39 P(G)=0.28 P(EUF)=0.60 P(FUG)=0.44 P(EUG)=0.45 P(E∩F∩G)=0.04

Q: A and B are independent events. If Pr(A intersect B)= 0.32 and Pr[A]= 0.4 what is Pr [B]?

A: Given Data: The probability of A intersect B is: PrA∩B=0.32 The probability of A is: PrA=0.4 Event A…

Q: Suppose A = = the event that you get 8 hours of sleep, and B = the event that you exercis If P(A) =…

A: We have given that P(A) = 0.26 P(B) = 0.37 P(AB) = P( A and B ) = 0.11 Conditional probability…

Q: Find the probability P(E or F) if E and F are mutually exclusive, P(E)=0.54, and P(F)=0.29.

A: GivenE and F are mutually exclusiveP(E)=0.54P(F)=0.29

Q: We are asked to find the probability of event A occurring given that event B occurs. This is…

A: By conditional probability theorem, the probability of event A occurs, provided that the event B has…

Q: Determine P(B|A), If A and B are the events with P(A) = 0.31, P(B) = 0.28 and P(AUB) = 0.51

A: Answer: From the given data, If A and B are two events, P(A) =0.31 P(B) = 0.28 P(A U B) = 0.51

Q: you are givin the information that P(A) = 30 and P(B) = 0.40. Do you have enough information to…

Q: What is the probability of observing leukemia remission when the cellularity of the marrow clot…

A: Solution: Given lnπ(y=1)1-π(y=1)=-2.88+3.08CELL-2.5INFIL The estimated logistic regression equation…

Q: Consider the events Aand B such that P(AUB) = 0.7 and P(An B) = 0.4. Then P(A) + P(B) = O 0.7 0.6…

A: Given PA∪B = 0.7PA∩B = 0.4

Q: U and V are mutually exclusive events. P(U) = 0.19; P(V) = 0.56. Find: %3D %3D a. P(U and V) = %3D…

A: It is given that U and V are mutually exclusive events. And probability of happening of respecting…

Q: 117.If A and B are independent events such that P(B) = P(AUB) = 0.8 then P(A) is

Q: (b) Determine the probability that, during one minute, Yhmeer sees (i) exactly one meteor [3] (ii)…

A: The distribution of the shower of meteors is Poisson with parameter lambda = 1.3. ~ Pos(1.3).The…

Q: (iii)It P(AB) = 0, then the two events A and B are said to be (a) dependent (b) independent (c)…

A: ⇒ P(A∩B) can be written as P(AB).

Q: For two events A and B, you are given that P(A) = 0.64, P(B)=0.4 and P(A or B)=0.8. What is the…

A: From P(A or B)=0.8 we get: or, P(A)+P(B)-P(A and B)=0.8 or, 0.64+0.4-P(A and B)=0.8 or, P(A and…

Q: If P(E)=0.4, P(G)%30.8, and P(E| G)%30.4, then (a) P(G and E)= (b) Are events E and G dependent?…

A: Probability: Probability is a chance factor that occurs at every outcome of a random experiment.…

Q: C and D are events with P(C) = 0.4 and P(D) = 0.5 and P(C|D) = 0.6.For each part, show how you…

A: From the provided information, P (C) = 0.4 and P (D) = 0.5 And P (C|D) = 0.6

Q: For independent events A and B , P(A)=0.80 and P(B)=0.20, Find P(A| B) 0.8 0.2 0.3125…

A: Given P(A)=0.80 P(B)=0.20

Q: Events A and B are such that P(A)=0.70, P(B)=0.40, and P(AUB)=0.90. Find P(B| A).

Q: A college finds that 8% of students have taken a distance learning class and that 20% of students…

Q: Leo is a very average golfer. The probability that he hits a bad shot at any time is 0.4,…

A: Given that p =0.4 , n=5,k=1

Q: Find the probability of the indicated event if P(E)= 0.25 and P(F) = 0.35. Find P(E or F) if P(E and…

A: Addition rule will applied here

Q: Hi! from the previous explanation I have doubts about how the probabilities of the table are found…

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

A: P(A) = 0.6, P(B) = 0.7, P(A and B) = 0.41 for event to be independent, P(A and B) = P(A).P(B) for…

Q: From Actuarial Math A telemarketer of an insurance company makes repeated calls to persons on a…

A: Let X be the number of unsuccessful calls before the third sale is made. Since all the calls are…

Q: E and F are mutually exclusive events. P(E) = 0.1; P(F) = 0.6. Find P(E | F) de

Question

Find the probability of the indicated events if P(E)=0.3 , P(F)=0.4 , and P(F|E)=0.3

(a) P(E∩F)

(b)P(E∪F)

(d) Are the events E and F disjoint? Explain.

Video Video

Expert Solution

Step 1

$Given P (E) = 0.3 P (F) = 0.4 P (F | E) = 0.3$

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

b. Let the events A and B be Such that P(A) = (0+ 10) %, P(B) = (6 + 15) %. find P (A U B), if 1. A and B are mutually exclusive. ii. A and B are independent.
GIVEN P(E) =0.35 P(F) =0.08 AND P( E AND F) =0.402 WHAT IS P( E AND F)? ARE EVENT E AND EVENT F MUTUALLY EXCLUSIVE? JUSTIFY YOUR ANSWER.…
Please see the pictures below. I need help with both questions please and thank you.
Ming is learning the game of tennis and will practice serving a tennis ball within bounds. Assume that the probability of Ming serving a tennis ball within bounds is 0.40 and that her serves are independent of each other. What is the probability that the first time Ming serves a tennis ball within bounds will occur on her 4th attempt? (A) 0.4 (B) 1 (0.4)4 = (C) (0.6)³ (0.4) (D) (1) (0.4) (0.6)³ (E) 0.4)³ (0.6) (1) (0.4) (0.6)³ + (2) (0.4)2(0.6)² + (3) (0.4)
For a recent evening at a small, old-fashioned movie theater, 30% of the moviegoers were female and 70% were male. There were two movies playing that evening. One was a romantic comedy, and the other was a World War II film. As might be expected, among the females the romantic comedy was more popular than the war film: 85% of the females attended the romantic comedy. Among the male moviegoers the romantic comedy also was more popular: 65% of the males attended the romantic comedy. No moviegoer attended both movies. Let F denote the event that a randomly chosen moviegoer (at the small theater that evening) was female and F denote the event that a randomly chosen moviegoer was male. Let r denote the event that a randomly chosen moviegoer attended the romantic comedy and R denote the event that a randomly chosen moviegoer attended the war film. Fill in the probabilities to complete the tree diagram below, and then answer the question that follows. Do not round any of your responses.
For mutually exclusive events A and B, P(A)=0.32 and P(B)=0.35 Find P(A | B) 0 0.112 0.9143 undefine
Help me please
Help
Attempt the following: (i) P(A) = 0.75, P(B) = 0.50 and P(A U B) = 0.87, are the events A and B independent? (ii) If P(A) = 0.4, P(B) = 0.7 and P(at least one of A and B) = 0.8, find P (Only one of A and B).
In a computer instant messaging survey, respondents were asked to choose the most fun way to flirt, and it found that P(D) = 0.750, where D is directly in person. If someone is randomly selected, what does P (D) represent, and what is its value? What does P (D represent? O A. P(D) is the probability of randomly selecting someone who did not participate in the survey. B. P(D) is the probability of randomly selecting someone who chooses a direct in-person encounter as the most fun way to flirt. C. P(D) is the probability of randomly selecting someone who did not have a preference in regards to the most fun way to flirt. D. P(D) is the probability of randomly selecting someone who does not choose a direct in-person encounter as the most fun way to flirt.
q15A -