II.Analyze and solve the following problems:1. A cloth bag contain numbers 1,2 3, and 4. The following is the probabilitydistribution of the sum when two numbers from each box is taken at a time withreplacement.5.78XP(x)2.341/81/16 1/43/161/163/161/8a. Find P(odd)b. Find P (X2 3)c. Find P(X>8)d. Find the probability of the value between 8 and 4.

Answered: Image /qna-images/answer/dc9ce192-345e-4959-b60b-75b37f3b88a4.jpg

Answered: 1. A cloth bag contain numbers 1,2 3,…

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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Suppose the following joint probability table for X and Y. Answer the questions. X 1 3 Total -1 0.02 0.03 0.04 0.09 Y 2.75 0.03 0.15 0.16 0.34 3 0.09 0.15 0.06 0.30 4.55 0.16 0.11 0.27 Total 0.14 0.49 0.37 1.00 What is Var(Y|X = 3) – the conditional variance of Y, given that X = 3? Answer:
Q2: For the project, its data shown below find: ● Time in weeks that gives a probability of %97.5 Probability of finishing the project 4 weeks more than TE Probability of finishing the project 3 weeks less than TE Act. 1-2 2-3 2-5 2-4 3-4 3-7 5-6 6-7 4-7 0 8 4 7 7 4 7 10 10 4 M 10 5 8 9 6 8 14 14 5 24 12 21 11 8 15 24 24 12
II. Find the missing probability to satisfy the properties of the probability distribution. 11. 3 4 5 P(x) 0.05 0.25 0.4 0.06 12. 4 5 P(x) 0. 06 0. 23 ? 0.35 0.05 13. 3 4 5 P(x) ? 15 15 14. 5 P(x) of ? 15. X. 1 3 4. 5 P(x) 1. 10 10 4. 3. 2. 2. 2.
please answer 15
1. Which of the following is a probability distribution? a. x 3 6 12 15 b. x 2. 3. 5. P(x) -0.3 0.5 0.1 0.3 0.4 P(x) 1.2 1.1 1.4 1.1 1.1 C. X 2 3 4 5 d. x 1. 2. 4 5 P(x) .49 .05 32 .07 .07 P(x) -.02 0.5 0.6 0.1 1 4.
Use the simplex method to solve the linear programming problem. Maximize subject to: with z= 3x₁ + 4x₂ x₁ - 4x₂ ≤45 3x₁ - 4x2 $27 x₁20, x₂20. A Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. (Simplify your answers.) OA. The maximum is when x₁ = and x₂
Refer to this figure to answer number 8- 10. The table below show the probability distribution of number of face mask sold per day. 1 2 3 5 6. 7 8. 10 0.07 P(x) P/x) 0.16 0.07 0.1 0.09 0.1 0.07 0.08 0.1 0.17 0.56 1.4 1.96 5.76 11.56 0.16 0.40 0.16 0.14 0.3 0.36 0.5 0.42 0.56 0.9 1.7 X-U -4.6 -3.6 -2.6 -1.6 -0.6 0.4 2.4 3.4 4.4 (x-)A2 (x-u)A2 *P(x) 21.16 12.96 6.76 2.56 0.36 0.16 19.36 3.39 0.91 0.68 0.23 0.04 0.01 1.16 3.29 8. What is ExP(x) =? A. 5.6 B. 6.5 C.7 D. 8 9. What is a? = E[(x - 4) P(x)] A. 5.9 %3D В. 8.6 С. 10.25 D. 11.35 10. If the standard deviation of the variance of problem number 9 is 3.20156, then how do we get the value of standard deviation given the value of variance? A. Vo? B. Va C. uP(x) D. o ololo-
Assume each newborn baby has a probability of approximately 0.49 of being female and 0.51 of being male. For a family with four children, let X = number of children who are girls. Identify p for the binomial distribution.
Find the probability that no tires have low air pressure.
D. Construct the probability distribution for each discrete random variable. 1. Let W be the square of the number when a fair die is rolled. 2. Let X be the number of girls in a family with 3 children. 3. Let Y be the product of two numbers taken separately from two boxes containing numbers 1, 2, 3, and 4. 4. Let B be the number of boys in a committee of 4 taken from 3 boys and 4 girls. 5. Let S be the sum of three numbers taken from 3 jars containing 1, 2, and 3.
Suppose that the random variable x, shown below, represents the number times . P(x) represents the probability of a randomly selected person having received that number of speeding tickets during that period. Use the probability distribution table shown below to answer the following questions. 19 a| P(x) 0 0.2749 Rectangular Snip 1 0.2522 2 0.2511 3 0.1494 4 0.0455 0.0269 6+ 0.0000 a) What is the probability that a randomly selected person has received two tickets in a three-year period? P(x = 2) %3D b) What is the probability that a randomly selected person has received four tickets in a three-year period? P(x = 4) c) What is the probability that that a randomly selected person has received more than five tickets in a three-year period? P(x > 5) = d) What is the probability that that a randomly selected person has received three or less tickets in a three-year period? P(x < 3)
Use the following information for the next 3 questions. The random variable x is the number of books sold in an hour at a local book store. Its probability distribution is as follows. Books Sold (x) Probability P(x) 0.01 2 0.24 3. 0.12 4. 0.16 5n 6. 0.01 0.14 7. O.11 0.21 16. Determine the mean number of books sold in an hour at that local book store. 17. Find the standard deviation for the number of books sold in an hour at that local book store. 18. Give the maximum and minimum number of books they could expect to sell in an hour. (Round to the nearest tenth.)

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