A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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- Suppose that we roll two fair dice, one red and one blue. Then there are 36 possible outcomes in the sample space, as shown in the table below. Blue Die 1 4 6. 1 (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) 2 (2,1) (2,2) (2,3) (2,4) (2,5) (2,6) 3 (3,1) (3,2) (3,3) (3,4) (3,5) (3,6) 84 (4,1) (4,2) (4,3) (4,4) (4,5) (4,6) A 5 (5,1) (5,2) (5,3) (5,4) (5,5) (5,6) 6 (6,1) (6,2) (6,3) (6,4)| (6,5) (6,6) Suppose we write the sample space in terms of the number of dots facing up on the two dice. That is, write S = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}. Use the table to answer each of the following: Complete the probability distribution function (pdf). Enter your answer as a fraction. Sample space Probability 2 3 4.arrow_forwardIf a person draws a playing card and checks its color and then rolls a six-sided die, describe the sample space of possible outcomes using B, R for the card outcomes and 1, 2, 3, 4, 5, 6 for the die outcomes. (Make sure your answers reflect the order stated.) The sample space is S= ) (Use a comma to separate answers as needed.) (1,1) Morearrow_forwardThe following test scores are for two classes that took the same test. (The highest possible score on the test was 60.) Class 1 (24 scores): 37, 45, 52, 55, 11, 55, 44, 55, 35, 25, 52, 42, 35, 21, 42, 52, 41, 40, 34, 51, 41, 41, 41, 41 Class 2 (25 scores): 50, 40, 40, 23, 40, 50, 31, 31, 40, 31, 31, 31, 53, 33, 33, 35, 55, 24, 39, 40, 41, 59, 41, 39, 46 Form a back-to-back stem and leaf plot with one stem. Put the leaves for one class on the right side of the stem and the leaves for the other class on the left side. Record the leaves in increasing order from the stem. Leaf (Class 1) Stem Leaf (Class 2) 4 3 1arrow_forward
- 2. In a population it is estimated that 20% have a desired trait of interest for the researcher. The researcher wants to know how many people on average he has to draw from a population to get 2 people with the trait. Use rows 20-24 of the Random Number Table to carry out the simulation. Explain clearly how you set up the problem and report your findings. Answer:arrow_forwardWhen planning a date night, you have a choice of 2 types of restaurants: pizza (P) or barbeque (B); a choice of 4 types of movies: romantic comedy (R), action/adventure (A), drama (D), or foreign film (F); and a choice of 2 types of post-movie activities: grabbing coffee (C) or getting ice cream (I). If you are choosing only one of each, list the sample space in regard to the dates (combinations of restaurants, movies, and post-movie activities) you could pick from.arrow_forward10arrow_forward
- Here is a sample of amounts of weight change (kg) of college students in their freshman year: 13, 7, -3, -5, where -5 represents a loss of 5 kg and positive values represent weight gained. Here are ten bootstrap samples: {13, 13, 13, -3), (13, -5, -3, 13}, {13, 5, 7, 3), (7, 5, 3, 13), {-3, -3, -3, 7}, {7, 5, 7, 5), (13, 7, 5, 3}, {-5, 7, 5, 7), {-5, -3, -5, 7}, {7, 13, 13, 13). Complete parts (a) and (b) below. a. Using only the ten given bootstrap samples, construct an 80% confidence interval estimate of the mean weight change for the population. (Round to one decimal place as needed.)arrow_forwardWhich of these best represents the sample space associated with selecting two coins at random with replacement from a bag containing 2 dimes, 1 nickel, and 1 penny? d, d, n, p A d-d, d-n, d-p, В n-d, n-p, p-d, p-n d-d, d-n, d-p, n-d, n-n, n-p, p-d, p-n, p-p d-d, d-d, d-n, d-p, d-d, d-d, d-n, d-p, n-d, n-d, n-n, n-p, D p-d, p-d, p-n, p-parrow_forwardThe following test scores are for two classes that took the same test. (The highest possible score on the test was 60.) Class 1 (24 scores): 37, 46, 54, 55, 15, 55, 44, 55, 37, 26, 52, 44, 31, 23, 44, 52, 41, 41, 30, 50, 41, 41, 41, 41 Class 2 (25 scores): 50, 40, 40, 25, 40, 57, 31, 31, 40, 31, 33, 33, 57, 33, 34, 34, 57, 29, 34, 41, 41, 58, 41, 34, 45 Form a back-to-back stem and leaf plot with one stem. Put the leaves for one class on the right side of the stem and the leaves for the other class on the left side. Record the leaves in increasing order from the stem. Leaf (Class 1) Stem Leaf (Class 2) 3 2 1arrow_forward
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