A) When the sample size is large, the mean of the observed outcomes is equal to the mean of the probability model. B) The difference between the mean of the observed outcomes and the mean of the probability model is very large. C) As an experiment is repeated, the proportion of trials in which an outcome occurs approaches the probability of that outcome. 12. A sample space contains three outcomes, A, B, and C. Which of the following could be a legitimate assignment of probabilities to the outcomes? A) P(A)- 0.2 P(B)-0.4 B) P(A) - 0.2 P(B)-0.2 C) P(A) -2 P(B)- 3 D) P(A) - 0.3 P(B)-0.3 P(C) -0.3 P(C)-0.6 P(C)-0.6 P(C) -1 13. A card is selected at random from a standard deck of playing cards. Compute the probability that the card is a heart. A. B. t C. # D. 4. You draw two cards from a standard deck of 52 cards and replace the first one before Irawing the second. State if the following statement is true or false. he outcomes for the two cards are independent. A. True B. False 15. Roll a fair die and count the number of dots on top. All the outcomes are equally likely,

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 14T: An unbalanced coin is weighted so that the probability of heads is 0.55. The coin is tossed ten...
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11. The law of large numbers implies which conclusion?
A) When the sample size is large, the mean of the observed outcomes is equal to the
mean of the probability model.
B) The difference between the mean of the observed outcomes and the mean of the
probability model is very large.
C) As an experiment is repeated, the proportion of trials in which an outcome occurs
approaches the probability of that outcome.
12. A sample space contains three outcomes, A, B, and C. Which of the following could be a
legitimate assignment of probabilities to the outcomes?
A) P(A)-0.2 P(B)-0.4
B) P(A) -0.2 P(B)-0.2
C) P(A) =2 P(B) = 3
D) P(A)= 0.3 P(B)-0.3
P(C)-0.6
P(C)-0.6
P(C) = 1
P(C) -0.3
13. A card is selected at random from a standard deck of playing cards. Compute the
probability that the card is a heart.
A.
B. t
C. #
D.
14. You draw two cards from a standard deck of 52 cards and replace the first one before
drawing the second. State if the following statement is true or false.
The outcomes for the two cards are independent.
A. True
B. False
15. Roll a fair die and count the number of dots on top. All the outcomes are equally likely,
A. True
B. False
Transcribed Image Text:11. The law of large numbers implies which conclusion? A) When the sample size is large, the mean of the observed outcomes is equal to the mean of the probability model. B) The difference between the mean of the observed outcomes and the mean of the probability model is very large. C) As an experiment is repeated, the proportion of trials in which an outcome occurs approaches the probability of that outcome. 12. A sample space contains three outcomes, A, B, and C. Which of the following could be a legitimate assignment of probabilities to the outcomes? A) P(A)-0.2 P(B)-0.4 B) P(A) -0.2 P(B)-0.2 C) P(A) =2 P(B) = 3 D) P(A)= 0.3 P(B)-0.3 P(C)-0.6 P(C)-0.6 P(C) = 1 P(C) -0.3 13. A card is selected at random from a standard deck of playing cards. Compute the probability that the card is a heart. A. B. t C. # D. 14. You draw two cards from a standard deck of 52 cards and replace the first one before drawing the second. State if the following statement is true or false. The outcomes for the two cards are independent. A. True B. False 15. Roll a fair die and count the number of dots on top. All the outcomes are equally likely, A. True B. False
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