3. Martin wants to sell away 7 different textbooks to his friend Nathan. 2 are math textbooks, 3 arehistory textbooks, and the remaining 2 are philosophy textbooks.(1) If Nathan randomly chooses 3 textbooks from the 7 textbooks, how many possible choices arethere for Nathan? HINT: Nathan choose how many books from how many books? What are n and k in „C, ?7x 6x4 =168!3D(2) If Nathan randomly chooses 1 textbook from each category (math, history, and philosophy), howmany possible combinations of textbooks are there for Nathan?(3) If Nathan randomly chooses 3 textbooks from the 7 textbooks as in (1), what is the probability thathis choice contains 1 textbook from each category as in (2) (math, history, and philosophy)?(4) If Nathan randomly chooses 3 textbooks from the 7 textbooks as before, what is the probabilitythat the choice contains 2 philosophy textbooks? HINT: If he has chosen two from philosophy, he wouldchoose how many more from which categories?(5) If Nathan randomly chooses 3 textbooks from the 7 textbooks, what is the probability that hischoice contains no history textbook? HINT: If none comes from history, how many come from what?

Note: Hey, since there are multiple subparts posted, we will answer first three subparts. If you…

Answered: 3. Martin wants to sell away 7…

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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9. In a batting cage, a young future slugger is swinging for the cheap seats-counting the number of pitches from one "home run" (in her mind) to the next: for instance, if she counts 4, it means it took her 4 pitches to get her first home run after she hit the last one. For 20 independent "home runs," her counts were: 3, 6, 2, 16, 12, 4, 4, 5, 15, 11, 3, 3, 2, 1, 8, 11, 5, 1, 2, 1. Assuming that these data can be looked upon as a random sample from a geometric population, a) Derive the maximum likelihood estimator for the geometric distribution's parameter 0. b) Estimate the parameter for the population the given sample was drawn from. Interpret your result (this interpretation should include what the pertinent population is for this problem; what, then, the parameter would represent, etc.)
It has been discovered that a sub-species of animal, the Spotted Manumar, has 4 different blood types: M, N, P and MN. Type MN is uncommon: Only 10% of them have this type. The remaining 90% of the animals are equally split among the 3 other types. On another continent, there is another sub-species of the Manumar. The Furry Manumar also has the same 4 blood types and the researchers wonder if the proportions of bloodtypes matches that of the Spotted ones. If we hypothesized that the Furry ones did match the Spotted ones, and 200 Furry Manumars were to be collected at random, you'd expect the number that have bloodtype MN to be 1 and the number to have bloodtype M to be
A financial institution, Kumpannee, has two departments. Department A has 8 individuals and Department B has 9 individuals. Kumpannee needs to select a team of 5 individuals to produce a forecast on the price of a barrel of crude oil. How many different teams are possible if at most 1 team member should come from Department A? O a. 18,144 ОБ.1,134 O c. 579 O d. 39,312 e. 252
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In a class there are 4 students who are 19 years old and obtained 80 pints in the midterm. There are 6 students who are 19 years old and obtained 50 pints in the midterm. There are 6 students who are 20 years old and obtained 80 pints in the midterm. There are n students who are 20 years old and obtained 50 pints in the midterm. There are no other students. We randomly pick a student in the class, let their age be X and their score by Y. If we are given that X, Y are independent random variables, then compute n.
There are 22 members of a basketball team. (1) The coach must select 8 players to travel to an away game. How many ways are there to select the players who will travel? (2) From the 8 players who will travel, the coach must select her starting line-up. She will select a player for each of the five positions: center, right forward, left forward, right guard, left guard. How many ways are there for her to select the starting line-up? (3) From the 8 players who will travel, the coach must select her starting line-up. She will select a player for each of the five positions: center, right forward, left forward, right guard, left guard. However, there are only 3 of the 8 players who can play center. Otherwise, there are no restrictions. How many ways are there for her to select the starting line-up?

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