d) 0.1538e) 0.2500f) O None of the above.Question 6An experiment with outcomes A, B, C, D, E, and F is described by the following table:Let n = {A, B), and m= {C, E, F). Determine P(nm).a) 0.61b) 0.90c) 01d) 00e) 0.99f) O None of the above.175°FCloudyOutcome‒‒ProbabilityA B¹1/1003/50Q SearchOutcomes HHCQuestion 7The following table shows the frequency of outcomes when two distinquishable coins were tossed 6,000 times. What is the estimated probability that heads comes up at least once?CHTRED1/10%/100 3/57/50EΤΗFTTI'B.961

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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...

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Suppose the probability of having blood type A is 0.10. Let X be the number of people with type A in the experiment of selecting one thousand random people. 1. The values of the random variable X is x = _____. A. {1, 2, …} B. {0, 1, 2, …} C. {1, 2, …, 1000} D. {0, 1, 2, …, 1000} 2. Which of the following is(are) correct? Then, explain whyI. The probability of each value of x is between 0 & 1II. The probability that one thousand people will have blood type B is 1 A. I onlyB. II onlyC. Both I and IID. Neither I nor II
Determine the value/s of the random variable in each of the following situations: A box contains three colors of marbles - white, black, and yellow. Three balls are picked one at a time with replacement. Let U be the number of yellow marbles that appear. A. 3 B. 1 C. 0 D. 0, 1, 2, 3 E. 0, 1, 2 F. 0, 1 G. 2
Consider flicking a pointer on a circular spinner with 12 sectors where 5 sectors are coloured red, 4 sectors are coloured green and 3 sectors are coloured blue. Flick the pointer and determine the probability of the pointer stopping in a sector with the colour: RG R= red blue B green GRB 4.1 blue 4.2 black 4.3 green 4.4 red Give your probability values as a fraction. 4.5 red or blue 5. If you roll a dice, determine the probability of the following: 5.1 P (even number) Remember! Prime numbers are 5.2 P (prime number). numbers that have 2 factors, 1 and itself. 6. From the following set of numbers: 2 5 7: 8; 9 ; 12 14 19 21 Detemine: P (odd number) 62 P(prime number) 6.3 P (multiple of 7) RBe R.
A study of the incoming freshman class at a university found that 60% of the students had taken AP Calculus in high school, 55% had taken AP English in high school, and 20% had taken both AP Calculus and AP English. One incoming freshman is randomly selected from the population of incoming freshman. Let: C = the selected student took AP Calculus E = the selected student took AP English What is the probability that the selected incoming freshman took AP English or AP Calculus, i.e. P( C or E)? 0.15 O 0.75 0.80 0.05 0.95
Let X = number of siblings. Use the following table to answer questions 3 and 4: x (p)x 0 2/40 1 5/40 2 0 3 14/40 4 7/40 5 4/40 3. Find the probability that a person has two siblings.a. 8/40b. 8c. 2d. 6/404. Find the expected number of siblings a person has.a. 2.78b. 15c. 3.13d. 1.0
Suppose S = {a, b, c} and we try to define the following probability measure on S: P({a, b, c}) = 1 P({a, b}) = 0.7 P({a, c}) = 0.5 P({b, c}) = 0.7 P({a}) = 0.2 P({b}) = 0.5 P({c}) = 0.3 Is P a valid probability measure? Why or why not?
Question Two a) The table below shows the probability distribution of the discrete random variable X. X 2 5 7 P(X=x) 2p p 2p 3p p i. Find the value of p from the table above. Calculate the probability that at X is at least 5. Calculate the mean of the distribution. ii. iii.
A platter contains 48 doughnuts: 26 cake, 13 glazed, and nine jelly-filled. Suppose two doughnuts are randomly selected in succession without replacement. Find the probability (to 4 decimal places) of selecting two cake doughnuts. A. 0.0691 B. 0.2881 C. 0.2934 D. 0.5417
a. How many total outcomes are possible? Event E b. Р(Е) 3D Event F с. Р(F) %3D 3 3 2 d. P(ENF) = e. P(E|F) = 2)
Giving a test to a group of students, the grades and gender are summarized below A B C Total Male 17 9 5 31 Female 7 14 20 41 Total 24 23 25 72 If one student is chosen at random...Find the probability that the student got a C: Find the probability that the student was male AND got a "B": Find the probability that the student was male OR got an "B": Find the probability that the student got a 'B' GIVEN they are female:

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An experiment with outcomes A, B, C, D, E, and F is described by the following table: Let n= (A,B), and m= (C, E, F). Determine P(nm). a) 0.61 b) 0.90 c) 01 d) 00 e) 0.99 f) O None of the above. Outcome Probability A 1/100 B 3/50 C 1/10 D 100 E F 7/50