3. a. Explain in your own words what it means for two events to be mutually exclusive.b. If events A and B are mutually exclusive, P(A)=0.3, and P(B)=0.4, what is P(AUB)?c. If P(A)=7/10, P(B)=3/10, and P(AUB)=7/10, is it possible for events A and B to bemutually exclusive? Why or why not?

We have given that P(A ) =0.3 , P(B) = 0.4 AND two event are mutually exclusive.

Answered: 3. a. Explain in your own words what it…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Q. 16 What are the properties of classical prob- ability of an event A?
i need in words not handwritten solution
Suppose A and B are events such that P(A)=1/3, P(B)=1/4,and P(A or B)=1/2. Complete parts (a) and (b) below. a. Are events A and B mutually exclusive? Explain your answer. A. Yes; P(A or B) is greater than P(A). B. No; P(A)+P(B) is not equal to P(A or B). C. Yes; P(A)+P(B) is equal to P(A or B). D. No; P(A) is not equal to P(B). b. Determine P(A & B). P(A & B)=___________(Type an integer or a simplified fraction.)
If P (Event A)=0.2 and P(Event B)=0.3, and the two events are disjoint, then P (Event A and Event B) is?
14. Event A and Event B are dependent. 21 a) P(B)=; p(A and B) 200 P(B|A) = b) P(B|A) = ; P(A and B) P(B) = 200
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
Step 4: Now calculate the probabilities P(AC) and P((A ∩ B)C) by first listing the simple events in AC and (A ∩ B)C. There are five simple events E1, E2, ..., E5. The complement of A is the collection of simple events that are not in A. We are given that A = {E2, E3}, so AC consists of the following event(s). (Select all that apply.) E1 E2 E3 E4 E5 We previously found that A ∩ B = {E2}. Therefore, the complement (A ∩ B)C includes the following event(s). (Select all that apply.) E1 E2 E3 E4 E5
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…
1. Events A and B are mutually exclusive with P(A) = 0.280 and P(A or B) = 0.740 a) P(B)= b) P(Not A)= c) P(A and B)=
. 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)
1). If three events, A, B, and C, are such that P(A) = 0.5, P(B) = 0.3, P(AUC) = 0.65 and P(An B)= 0.1, Find the following: a). P(A/B) b). P (AUB) c). For what value of P(C) are A and C independent?
12 Given P(A and B) = 0.94, P(A) = 0.98, and P(B) = 0.96 are events A and B independent or dependent? 1) Independent 2) Dependent

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS

3. a. Explain in your own words what it means for two events to be mutually exclusive. b. If events A and B are mutually exclusive, P(A)=0.3, and P(B)=0.4, what is P(AUB)? c. If P(A)=7/10, P(B)=3/10, and P(AUB)=7/10, is it possible for events A and B to be mutually exclusive? Why or why not?