Discrete math a) Suppose three people are in a room. What is the probability that there is atleast one shared birthday among these three people?b) There are 4 boys and 4 girls. They sit in a row randomly. What is thechance that all the girls do not sit together.c) If you choose two numbers from 1 to 67, what is the probability that onenumber is greater than another?d) A and B stand in a line at random with 10 other people. What is theprobability that there are exactly 3 people between A and B?

Answered: Image /qna-images/answer/30780621-ae0d-407d-912b-31453f0ff23d.jpg

Answered: a) Suppose three people are in a room.…

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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Number Gender Exam 1 Exam 2 Exam 3 Homework Lab Number grade Letter grade Z-score Absolute z-score 1 0 61 94 76 94 87 82.4 B 0.18 0.18 2 0 99 97 90 100 89 95 A 1.38 1.38 3 0 64 76 69 88 87 76.8 C -0.36 0.36 4 0 77 82 86 98 94 87.4 B 0.66 0.66 5 0 70 89 81 93 97 86 B 0.52 0.52 6 0 67 62 65 60 90 68.8 D -1.13 1.13 7 0 87 83 81 85 68 80.8 B 0.02 0.02 8 0 74 88 65 49 90 73.2 C -0.71 0.71 9 0 91 97 87 81 94 90 A 0.90 0.90 10 0 94 87 77 90 67 83 B 0.23 0.23 11 0 47 72 54 59 63 59 F -2.07 2.07 12 0 81 64 78 84 73 76 C -0.44 0.44 13 0 87 90 81 93 80 86.2 B 0.54 0.54 14 0 96 100 84 97 84 92.2 A 1.12 1.12 15 0 80 76 90 85 85 83.2 B 0.25 0.25 16 0 64 51 69 74 78 67.2 D -1.28 1.28 17 0 70 86 84 77 75 78.4 C -0.21 0.21 18 0 80 93 98 95 98 92.8 A 1.17 1.17 19 0 88 83 83 90 84 85.6 B 0.48 0.48 20 0 52 46 62 70 59 57.8 F -2.19 2.19 21 0 97 83 83 85 98 89.2 B 0.83 0.83 22 1 80 74 90 83 65 78.4 C -0.21 0.21 23 1 86 81 72 85 97 84.2 B 0.35 0.35 24 1 88 99…
how can I get Sd? (if possible with Ti84)
3] Provide an example of a qualitative variable. You may not use an example provided in th notes.
ideo Lec e so oxtra Pra Jorkshe ee sc A medical researcher says that less than 72% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 600 Fables (fo adults in that country, 68% think that healthy children should be required to be vaccinated. At a = 0.10, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. e sc Assignme (a) ldentify the claim and state Ho and H. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) Gradeboc e sc Email O A. Less than % of adults in the country think that healthy children should be required to be vaccinated. O B. More than % of adults in the country think that healthy children should be required to be vaccinated. еТеxt OC. % of adults in the country think that healthy children should be required to be vaccinated. Accessibl Resource O…
What is the empirical formula for C10H2005? O C₂H5O O CH,O OCHO3 OCHO OC₂H₂O Submit Provide Feedback Request Answer
Clocking the Cheetah. The cheetah (Acinonyx jubatus)isthe fastest land mammal and is highly specialized to run down prey. The cheetah often exceeds speeds of 60 mph and, according to the online document “Cheetah Conservation in Southern Africa” (Trade&Envi-ronment Database (TED) Case Studies, Vol. 8, No. 2) by J. Urbaniak, the cheetah is capable of speeds up to 72 mph. The WeissStats site contains the top speeds, in miles per hour, for a sample of 35 chee-tahs. Use the technology of your choice to do the following tasks. a. Find a 95% confidence interval for the mean top speed, μ,ofall cheetahs. Assume that the population standard deviation of top speeds is 3.2 mph. d. Comment on the advisability of using the z-interval procedure on these data.
Which command can we use to generate a histogram in R? A. histogram() B. histo() C. hist() D. None of the above
An instructor for a test preparation course claims that the course will improve the test scores of students. The table shows the critical reading scores for 14 students the first two times they took the test. Before taking the test for the second time, the students took the instructor's course to try to improve their critical reading test scores. At a = 0.01, is there enough evidence to support the instructor's claim? Complete parts (a) through (f). Student Score on first test Score on second test 450 698 674 448 489 630 496 543 636 558 643 407 374 493 10 11 12 13 14 D 444 635 616 409 545 605 516 395 561 471 632 387 337 461 1 2 3 4 7 8 9. (b) Find the critical value(s) and identify the rejection region(s). (Use a comma to separate answers as needed. Type an integer or a decimal, Round to three decimal places as needed.) Identify the rejection region(s). Choose the correct answer below. O A. t>3.012 O B. t 2.650 O C. t 3.012 Click to select your answer(s). 225 PM 12/17/2020

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