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4. Five individuals from an animal population thought to be near extinction in a certain region have been caught, tagged and released to mix into the population. After they have had the opportunity to mix, a random sample of 10 of these animals is selected without replacement. Let X represent the number of tagged animals in the second sample. Suppose there are actually 25 animals of this type in the region. (a) Find the probability that fewer than 2 of the animals are tagged in the second sample. (b) Find P(3< X ≤ 5).

4. Five individuals from an animal population thought to be near extinction in a certain region have been caught, tagged and released to mix into the population. After they have had the opportunity to mix, a random sample of 10 of these animals is selected without replacement. Let X represent the number of tagged animals in the second sample. Suppose there are actually 25 animals of this type in the region. (a) Find the probability that fewer than 2 of the animals are tagged in the second sample. (b) Find P(3< X ≤ 5).

A First Course in Probability (10th Edition)
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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(e) Recalculate the probability that 12 students are enrolled in Material Science this time with replacement. 4. Five individuals from an animal population thought to be near extinction in a certain region have been caught, tagged and released to mix into the population. After they have had the opportunity to mix, a random sample of 10 of these animals is selected without replacement. Let X represent the number of tagged animals in the second sample. Suppose there are actually 25 animals of this type in the region. (a) Find the probability that fewer than 2 of the animals are tagged in the second sample. (b) Find P(3< X ≤ 5). 26
Transcribed Image Text:(e) Recalculate the probability that 12 students are enrolled in Material Science this time with replacement. 4. Five individuals from an animal population thought to be near extinction in a certain region have been caught, tagged and released to mix into the population. After they have had the opportunity to mix, a random sample of 10 of these animals is selected without replacement. Let X represent the number of tagged animals in the second sample. Suppose there are actually 25 animals of this type in the region. (a) Find the probability that fewer than 2 of the animals are tagged in the second sample. (b) Find P(3< X ≤ 5). 26
21. A jury of 12 people is selected at random from a group of 16 men and 18 women. What is the probability that a randomly selected jury contains exactly 7 women? 4.2 Final Answers 1. (a) 0.6365 (b) 0.577 (c) 0.0595 The requirement for using the Poisson approximation is not met. 2. (a) 0.19 (b) 0.427 3. (a) 0.0317 (b) 0.9999 (b) 0.0640 5. (a) b¹-4a³6³ +6a6b²-4a³b + a ¹² (b) $2.94 4. (a) 0.3134 6. (a) $1.77 7. (a) 0.379 9. (a) 0.0907 (b) 0.9058 (c) 0.9876 (d) binomial (e) 0.0355 (b) 0.221 (c) 0.2205 (c) 10.8 (c) 0.308 (d) 0.6418 (d) 2.0785 (d) 0.873 (e) 0.6418 Poisson 3.1 App
Transcribed Image Text:21. A jury of 12 people is selected at random from a group of 16 men and 18 women. What is the probability that a randomly selected jury contains exactly 7 women? 4.2 Final Answers 1. (a) 0.6365 (b) 0.577 (c) 0.0595 The requirement for using the Poisson approximation is not met. 2. (a) 0.19 (b) 0.427 3. (a) 0.0317 (b) 0.9999 (b) 0.0640 5. (a) b¹-4a³6³ +6a6b²-4a³b + a ¹² (b) $2.94 4. (a) 0.3134 6. (a) $1.77 7. (a) 0.379 9. (a) 0.0907 (b) 0.9058 (c) 0.9876 (d) binomial (e) 0.0355 (b) 0.221 (c) 0.2205 (c) 10.8 (c) 0.308 (d) 0.6418 (d) 2.0785 (d) 0.873 (e) 0.6418 Poisson 3.1 App
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