4. A bag contains 6 red balls and 14 blue balls. A ball is selected fromthe bag at random, its colour is noted and then the ball is placed backin the bag. This is done a total of 8 times.(a) What is the probability that a red ball is selected 5 times and ablue ball is selected 3 times?(b) What is the probability that a red ball is selected at least 2 times?(c) What is the expected number of times that a red ball will beselected?

Answered: Image /qna-images/answer/a0439c43-5917-47c8-b2bf-8a37568f9867.jpg

Answered: 4. A bag contains 6 red balls and 14…

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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I am picking cards out of a deck. What is the probability that I pull out 1 heart out of 5 cards if I pull with replacement? What if the condition is no replacement? What is the probability that first heart is the third card I draw (with replacement)?
Three students from a 22 student class will be selected to attend a meeting. 9 of the students are female. What is the probability that not all three of the students chosen to attend the meeting are female? =
The probability that a randomly selected 1-year-old male chipmunk will live to be 2 years old is 0.97211. (a) What is the probability that two randomly selected 1-year-old male chipmunks will live to be 2 years old? (b) What is the probability that seven randomly selected 1-year-old male chipmunks will live to be 2 years old? (c) What is the probability that at least one of seven randomly selected 1-year-old male chipmunks will not live to be 2 years old? Would it be unusual if at least one of seven randomly selected 1-year-old male chipmunks did not live to be 2 years old? (... (a) The probability that two randomly selected 1-year-old male chipmunks will live to be 2 years old is (Round to five decimal places as needed.) (b) The probability that seven randomly selected 1-year-old male chipmunks will live to be 2 years old is (Round to five decimal places as needed.) (c) The probability that at least one of seven randomly selected 1-year-old male chipmunks will not live to be 2 years…
9. One box contains six red balls and four green balls, and a second box contains seven red balls and three green balls. A ball is randomly chosen from the first box and placed in the second. Then a ball is randomly selected from the second box and placed in the first box. (a) What is the probability that a red ball is selected from the first box and a red ball is selected from the second box? (b) At the conclusion of the selection process, what is the probability that the mmbers of red and green balls in the first box are identical to the numbers at the beginning? 10. One in every 100 people are infected by a virus. A test is used to determine whet her a person is infected. If a person is infected, the test is positive 70% of the time, but if the person is not infected, the test is still positive 10% of the time. (a) If a person tests positive, what is the probability that the person is infected? (b) If a person tests negative, what is the proba bility that the person is not infected?
A math class consists of 15 students, 5 female and 10 male. Three students are selected at random, one at a time, to participate in a probability experiment (selected in order without replacement).(a) What is the probability that a male is selected, then two females? (b) What is the probability that a female is selected, then two males? (c) What is the probability that two females are selected, then one male? (d) What is the probability that three males are selected? (e) What is the probability that three females are selected?
Two boxes contain colored balls. Box 1 contains 4 blue, 5 green and 3 red balls. Box 2 contains 6 blue, 2 green and 3 red balls. A ball is selected at random from box 1 and transferred to box 2. A ball is then selected at random from box 2. If the ball selected from box 2 is green, what is the probability that the ball transferred from box 1 was: (a) red? (b) blue? Please Answer In 4 Decimal places
Please don't provide hand written solution
A math class consists of 35 students, 25 female and 10 male. Three students are selected at random, one at a time, to participate in a probability experiment (selected in order without replacement). (a) What is the probability that a male is selected, then two females? (b) What is the probability that a female is selected, then two males? (C) What is the probability that two females are selected, then one male? (d) What is the probability that three males are selected? (e) What is the probability that three females are selected?
2. Even at conferences full of physicians, female doctors noticed that they were introduced as "Doctor" about 49% of the time.' Visualize a female physician networking at such an event. (a) What is the probability that she will be introduced as “Doctor" 3 times before not being addressed by the title on the fourth introduction? (b) What is the probability that she will be introduced as "Doctor“ at most 3 times before not being addressed by the title?
1 card is drawn at random from the pack of 52 cards.(i) Find the Probability that it is an honor card.(ii) It is a face card.
A baseball player hit 62 home runs in a season. Of the 62 home runs, 19 went to right field, 22 went to right center field, 11 went to center field, 8 went to left center field, and 2 went to left field. (a) What is the probability that a randomly selected home run was hit to right field? (b) What is the probability that a randomly selected home run was hit to left field? (c) Was it unusual for this player to hit a home run to left field? Explain. (a) The probability that a randomly selected home run was hit to right field is (Round to three decimal places as needed.) (b) The probability that a randomly selected home run was hit to left field is (Round to three decimal places as needed.) (c) Was it unusual for this player to hit a home run to left field? O A. Yes, because P(left field) < 0.05. O B. No, because the probability of an unusual event is 0. O C. Yes, because P(left field) < 0.5. O D. No, because this player hit 2 home runs to left field.

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