**Title: Probability and Statistics Exercise****Description:**Giving a test to a group of students, the grades and gender are summarized below:| | A | B | C | Total ||-------|----|----|----|-------|| Male | 4 | 20 | 6 | 30 || Female| 2 | 7 | 16 | 25 || Total | 6 | 27 | 22 | 55 |**Instructions:**If one student is chosen at random, answer the following questions:1. Find the probability that the student got a B: [Answer box]2. Find the probability that the student was female AND got an "A": [Answer box]3. Find the probability that the student was male OR got a "B": [Answer box]4. If one student is chosen at random, find the probability that the student got a 'C' GIVEN they are male: [Answer box]

Answered: Image /qna-images/answer/1a0f861c-9b8c-44e2-9fda-41dd8d7378bb.jpg

Answered: Giving a test to a group of students,…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Giving a test to a group of students, the grades and gender are summarized below A B C Total Male 16 17 2 35 Female 6 5 4 15 Total 22 22 6 50 If one student is chosen at random,Find the probability that the student was female AND got a "B".
Giving a test to a group of students, the grades and gender are summarized below A B C Total Male 13 15 3 31 Female 12 8 18 38 Total 25 23 21 69 If one student is chosen at random,Find the probability that the student got an A: Find the probability that the student was female AND got a "C": Find the probability that the student was male OR got an "A":
Giving a test to a group of students, the grades and gender are summarized below A B C Total Male 4 17 15 36 Female 7 12 3 22 Total 11 29 18 58 If one student is chosen at random,Find the probability that the student got an A: Find the probability that the student was female AND got a "C": Find the probability that the student was male OR got an "A": If one student is chosen at random, find the probability that the student got a 'B' GIVEN they are male:
In an experiment, college students were given either four quarters or a $1 bill and they could either keep the money or spend it on gum. The results are summarized in the table. Complete parts below. Purchased Gum Kept the Money Students Given Four Quarters 33 13 Students Given a $1 Bill 15 30 a. Find the probability of randomly selecting a student who spent the money, given that the student was given four quarters. b. Find the probability of randomly selecting a student who kept the money, given that the student was given four quarters. c. What do the preceding results suggest?choose below A. A student given four quarters is more likely to have kept the money than a student given a $1 bill. B. A student given four quarters is more likely to have kept the money. C. A student given four quarters is more likely to have spent the money than a student given a $1 bill. D. A student given four quarters is more…
Giving a test to a group of students, the grades and gender are summarized below A B C Total Male 16 17 6 39 Female 12 19 3 34 Total 28 36 9 73 If one student is chosen at random,Find the probability that the student was male AND got a "A".
Giving a test to a group of students, the grades and gender are summarized below A B 14 19 4 11 13 Total 18 30 20 Male Female C 7 Total 40 28 68 If one student is chosen at random, Find the probability that the student was female AND got a "B".
On a single draw from a deck of 52 playing cards, what is the probability of getting: Multiple choices will be in this order: a. A spade b. a spade or a diamond c. An 8 or a red card d. Jack or a red card
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