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A probability experiment is conducted. Which of these cannot be considered a pro

ID: 3181774 • Letter: A

Question

A probability experiment is conducted. Which of these cannot be considered a probability outcome? a. 2/3 b/0.63 c/-2/3 d. 1.65 e. -0.44 f. 0 g. 1 h. 125% i. 24% Classify each statement as an example of classical probability, empirical probability, or subjective probability. a. The probability that a person will watch the 6 o'clock evening news is 0.15. b. The probability of winning at a Chuck-a-Luck game is 5/36. c. The probability that a bus will be in an accident on a specific ran is about 6%. d. The probability of getting a royal flush when five cards are selected at random is 1/649, 740. e. The probability that a student will gel a C or better in a statistics course is about 70%. f. The probability that a new fast-food restaurant will be a success in Chicago is 35%. g. The probability that interest rates will rise in the next 6 months is 0.50. Rolling a Die If a die is rolled one time, find these probabilities. a. Getting a 2 b. Getting a number greater than 6 c. Getting an odd number d. Getting a 4 or an odd number e. Getting a number less than 7 f. Getting a number greater than or equal to 3 g. Getting a number greater than 2 and an even number Rolling Two Dice If two dice are rolled one time, find the probability of getting these results. a. A sum of 9 b. A sum of 7 or 11 c. Doubles d. A sum less than 9 e. A sum greater than or equal to 10 Drawing a Card If one card is drawn from a deck, find the probability of getting these results.

Explanation / Answer

10) option e,c, d and h, probability can take values between 0 and 1(0% and 100%) only

11) a) empirical b) classical c) empirical d) classical e) empirical f) empirical g) subjective

12) a) outcomes{1,2,3,4,5,6}, P(X=2) = 1/6

b) No number above 6, p =0

c) 1,3 and 5 are odd, P(odd) = 3/6 = 1/2

d) 1,3 and 5 are odd plus 4, P(4 or odd) = 4/6 = 2/3

e) a number less than 7 includes all 6 outcomes, P=1

f) {3,4,5,6}, P(3,4,5,6) = 4/6 = 2/3

g) Greater than 2 and even numbers are {4,6}, P(4,6) = 2/6 = 1/3

13) a) There are 36 outcomes in the sum of 2 dice experiment. A sum of 3 will show up if dice shows up as {1,2} or {2,1}, P(sum = 3) = 2/36 = 1/18

b) sum of 7 = {3,4} {4,3}, {5,2} {2,5} {6,1} {1,6}

sum of 11 = {6,5} {5,6}

P(sum = 7 or 11) = 8/36 = 2/9

c) doubles are {1,1}, {2,2} {3,3} {4,4} {5,5} {6,6}

P(doubles) = 6/36 = 1/6

d) sum(less than 9) = 1 - P(9) - P(10) - P(11) - P(12)

X = 9 -> {5,4} {4,5} {6,3} {3,6} = 4/36

X = 10 -> {5,5} {6,4} {4,6} = 3/36

X = 11 -> {6,5} {5,6} = 2/36

X = 12 -> {6,6} = 1/36

sum(less than 9) = 1- 4/36 - 3/36 - 2/36 - 1/36 = 13/18

e) sum greater than or equal to 10

X = 10 -> {5,5} {6,4} {4,6} = 3/36

X = 11 -> {6,5} {5,6} = 2/36

X = 12 -> {6,6} = 1/36

P(sum greater than or equal to 10) = 3/36 + 2/36 + 1/36 = 6/36 = 1/6

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