2. Use the tree diagram to find the probability of selecting different iPhones. You have: 2 phones to choose from: o iPhone 11 and iPhone 12, 3 colors: o silver, o black, and o gold, 2 amounts of storage o 64GB and 128GB. iPhone 11 iPhone 12 black silver gold black silver gold 128 256 128 256| 128 256 128 GB 256 128 256 128 256 GB GB GB GB GB GB GB GB GB GB GB Show you work in the space provided. a. P(black iPhone) = ь. Р(128GB iPhone) - P (iPhone 11) =

2. Use the tree diagram to find the probability of selecting different iPhones. You have: 2 phones to choose from: o iPhone 11 and iPhone 12, 3 colors: o silver, o black, and o gold, 2 amounts of storage o 64GB and 128GB. iPhone 11 iPhone 12 black silver gold black silver gold 128 256 128 256| 128 256 128 GB 256 128 256 128 256 GB GB GB GB GB GB GB GB GB GB GB Show you work in the space provided. a. P(black iPhone) = ь. Р(128GB iPhone) - P (iPhone 11) =

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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One bag of marbles contains two red, one yellow, one green, and one blue marble. Another bag contains one marble of each of the same four colors you pick one marble from each bag at the same time. Use the complement to find the probability of not selecting a yellow marble
(Devore: Section 3.2 #15) Many manufacturers have quality control programs that include inspec- tion of incoming materials for defects. Suppose a computer manufacturer receives circuit boards in batches of five. Two boards are selected from each batch of inspection. We can represent possible outcomes of the selection process by pairs. For example, the pair (1,2) represents the selection of boards 1 and 2 for inspection. (a) List the ten different possible outcomes. (b) Suppose that boards 1 and 2 are the only defective boards in a batch. Two boards are to be chosen at random. Define X to be the number of defective boards observed among those inspected. Find the probability distribution (pmf) of X. (c) Let F denote the cdf of X. Determine F(0), F(1) and F(2); then obtain F(x) for all other x.
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Suppose a system will work if any one of the 10 different components work. The probability that a particular component works is 0.222, independently of all the other components. Find the probability that the system works.
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A researcher randomly selected 158 personal vehicles and noted the type of vehicle and its color. The two-way table displays the data. A 5-column table with 4 rows. Column 1 has entries sedan, S U V, convertible, total. Column 2 is labeled Red with entries 14, 9, 20, 43. Column 3 is labeled Blue/Green with entries 31, 19, 6, 56. Column 4 is labeled Black/Gray with entries 22, 34, 3, 59. Column 5 is labeled Total with entries 67, 62, 29, 158. The columns are titled Vehicle color and the rows are titled vehicle type. Suppose a vehicle is randomly selected. Let event C = convertible and R = red. What is the value of P(R|C)? StartFraction 29 Over 158 EndFraction StartFraction 43 Over 158 EndFraction StartFraction 20 Over 43 EndFraction StartFraction 20 Over 29 EndFraction