1. Suppose A and B are two independent events, so by definition P(A N B) = P(A)P(B).a. Prove that A and BC are independent, and that AC and BC are independent.b. Using the above facts to fill in the blanks for following contingency table, under theassumption that for a randomly selected person, the event of "being right-handed" is independentfrom the event “my favorite color is red." (Note: 0.360 is the probability that you are right-handed and your favorite color is red, etc.)Favorite Color RedFavorite Color Not RedRight-handed:Left-handed:0.3600.036c. If "RH" refers to the event of being right-handed and "R" refers to the event that yourfavorite color is red, compute P(R), P(RC), P(RH), P(RHC), and P(RHUR).

a) Given A and B are independent events P(A ∩ B) = P(A)*P(B) Venn diagram for A∩BC is shown below…

Answered: 1. Suppose A and B are two independent…

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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Suppose that events A and B are independent; A and C are independent ; B and C are also independent. If P(A) = 0.3, P(B) = 0.4, P(C) = 0.5, what is P(A ∩ B ∩ Cc )? a). 0.3 b). 0.4 c). 0.6 d). 0 e). none of above
a. The Probaility of event A happening is P(A)-0.5. The probability of event B happening is I(B)-0.4. Considering these are both mutually exclusive events what is the probability of event A or eveat B occurring b. Dario owns 145 baseball cards, 102 football cards, and 4s basketball cards He selcets a card at randors and gives it to his brother. What is the probability that he selects a baseball or football card? I need quick help
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
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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)=
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1. Geno and Smith collaborated in a Math256 Midterm recently and both received 90 out of a possible 100 points. The events, Geno receiving 90 points and Jason receiving 90 points are : d. All of the answer options are correct.b. disjoint events a. independent events c. dependent events 2. In his Fall Math256 class, 40% of the students studied at least 15 hours per week, 30% of the students received a 4.0, and 10% studied at least 15 hours per week and received a 4.0. Find the probability of students who either studied 15 hours per week or received a 4.0? a. 0.4 d0.7 c. 0.1 b. 0.6 3. Two high school seniors find themselves with much time and nothing to do. They decide to devise a computer game in which a cursor moves randomly along the x axis between 0 and 4. The game they play is to stop the cursor at random points between O and 4 without looking at the screen. Such a game results in a uniform distribution over the interval between 0 and 4 and resembles a density curve. The area…

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