14. A fair die is rolled and X is the cube (the third power) of the number facing up. a. List the elements in the sample space (outcomes). b. List the values for X for each of the outcomes. c. Find the probability distribution for X. P(X = x)

14. A fair die is rolled and X is the cube (the third power) of the number facing up. a. List the elements in the sample space (outcomes). b. List the values for X for each of the outcomes. c. Find the probability distribution for X. P(X = x)

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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The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Complete parts (a) through (d) below. Click the icon to view the table. C a. Find the probability of getting exactly 6 girls in 8 births. (Type an integer or a decimal. Do not round.) b. Find the probability of getting 6 or more girls in 8 births. (Type an integer or a decimal. Do not round.) c. Which probability is relevant for determining whether 6 is a significantly high number of girls in 8 births: the result from part (a) or part (b)? O A. The result from part a, since it less than the probability of the given or more extreme result. O B. The result from part a, since it is the exact probability being asked. O C. The result from part b, since it is the complement of the result of part a O D. The result from part b, since it is the probability of the given or more extreme result. d. Is 6 a significantly high number…
The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Complete parts (a) through (d) below. E Click the icon to view the table. a. Find the probability of getting exactly 6 girls in 8 births. (Type an integer or a decimal. Do not round.) b. Find the probability of getting 6 or more girls in 8 births. (Type an integer or a decimal. Do not round.) c. Which probability is relevant for determining whether 6 is a significantly high number of girls in 8 births: the result from part (a) or part (b)? O A. The result from part b, since it is the probability of the given or more extreme result. O B. The result from part a, since it less than the probability of the given or more extreme result. O C. The result from part b, since it is the complement of the result of part a. O D. The result from part a, since it is the exact probability being asked. d. Is 6 a significantly high…
Identify the sample space of the probability experiment and determine the number of outcomes in the sample space. Draw a tree diagram. Determining a person's grade (freshman (F), sophmore (So), junior (J), senior (Se)) and gender (male (M), female (F)) Identify the sample space. O A. {FM, FF, SOM, SoF, JM, JF, SeM, SeF} B. {FM, FF, FJ, SOM, SoF, SoJ, JM, JF, JJ} C. {FM, FF, SOM, SoF, JM, JF, SeM, SeF, SoM, SoF} D. {FM, FF, SOM, SoF, JM, JF} There are Choose the correct tree diagram below. O A. outcomes in the sample space. O C. F So F J So Se M F M F M F M F M F So Se M F M F M F M F B. D. F So M F J M F F So J J M F J M F M F M F
7. Consider the probability distribution: X P(X) 0 3 a. What is the missing value, p? b. Draw a bar graph for the probability distribution. 1 2 P
Construct a probability distribution for tossing four coins. Firstdetermine the sample space, and then create the probability distribution. Let X represent the number of heads.
6. Create a probability distribution for a coin flipping game. That is, tossa coin at least 25 times and keep up with the number of heads and the number of tails. a. Compile your data into a probability distribution. Be sure to show that your distribution meets the properties for a probability distribution. b. Use a bar graph to graph the distribution. c. Explain the random variables for your data. d. Did the values come out as you would expect? Explain what you would expect to happen with the outcome of the game versus the actual expected value of your distribution. 7. Use your example from question 6 to set up a binomial distribution. Find the probability based on your data that if the coin is flipped 25 times, what is the probability that a heads would appear 10 times or less. 8. The following information has been given that shows the highest level of education received by employees of a company. Ph.D. Master's Bachelor's Associate # Employees 8 21 33 18 High School Diploma 7 Other…
Help, please.
The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Complete parts (a) through (d) below. Click the icon to view the table. a. Find the probability of getting exactly 6 girls in 8 births. 0.108 (Type an integer or a decimal. Do not round.) - Probability Distribution for x Number of Girls x 0 1 2 3 4 5 6 7 8 Print P(x) 0.002 0.025 0.105 0.189 0.358 0.189 0.105 0.025 0.002 Done X
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the mean of the given probability distribution. 6) In a certain town, 40% of adults have a college degree. The accompanying table describes the probability distribution for the number of adults (among 4 randomly selected adults) who have a college degree. 6) P(x) 0|0.1296 10.3456 2 0.3456 3 0.1536 4 0.0256 A) µ= 1.73 B ) μ= 2.00 Ομ= 16 D) µ = 1.50
Toss five fair coins and let x equal the number of heads observed. a. Identify the sample points associated with this experiment, and assign a value of x to each sample point. Then list all the possible values of x. b. Calculate p(x) for the values x = 1 and x = 2. c. Construct a probability histogram for p(x). d. What is P(x = 1 or x = 4)?