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. 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…
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. (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)? A. The result from part b, since it is the complement of the result of part a. B. The result from part a, since it is the exact probability being asked. C. The result from part a, since it less than the probability of the given or more extreme result. 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 of girls…
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
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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. a. Find the probability of getting exactly 1 girl in 8 births. (Type an integer or a decimal. Do not round.) b. Find the probability of getting 1 or fewer girls in 8 births. (Type an integer or a decimal. Do not round.) c. Which probability is relevant for determining whether 1 is a significantly low number of girls in 8 births: the result from part (a) or part (b)? *** O A. Since getting 0 girls is an even lower number of girls than getting 1 girl, the result from part (b) is the relevant probability. OB. Since the probability of getting 0 girls is less likely than getting 1 girl, the result from part (a) is the relevant probability. OC. Since the probability of getting more than 1 girl is the complement of the result from part (b), this is the…
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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…
Discrete Probability Distributions Worksheet 1. You flip four coins. Let X, the random variable, be the number of heads on all four coins. a. List the sample space for the experiment. b. What are the possible values for x? c. Is the random variable, x, continuous or discrete? d. Construct a probability distribution for this experiment. (X) e. Construct a histogram for the probability distribution in the space below. 2. Determine if the following are probability distributions (if no, state why). а. X 6. P(X) 4/9 12 15 3. 6. 1 2 3 4 5 P(X) 3/10 1/10 1/10 2/10 3/10 20 30 40 50 1.1 0.2 0.9 0.3 (X)
Note. Get the possible values of a random variable first. A pair of fair dice is rolled. Let X denote the sum of the number of dots on the top faces. a. Constuct the probability distribution of X. b. Find P(X>9)
Help, please.
Roll a Diea. Suppose you roll a single die and count the number of dots on top. List the sample space ofall possible outcomes.b. Assign probability to the outcomes of the sample space from part (a). Do the probabilitiesadd up to 1? Should they add up to 1? Explainc. What is the probability of getting a number less than 5 on a single throw?d. What is the probability of getting 5 or 6 on a single throw?