The number of ants on a flower head is a random variable having the following distribution.Number of ants12345 or moreProbability0-20500-3162 0-2804 0-15620-0422(a) Use the following observations on a random variable with a uniform distribution on (0, 1)to draw a random sample of size four from the distribution of ants:0-157 74, 0-602 82, 0-455 81, 0-493 68.(b) Explain how you would use simulation to estimate the probability that a plant will have 3or more ants, if the number of flower heads on a plant is a random variable having the Poissondistribution with mean 5.

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Answered: The number of ants on a flower head is…

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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4.56 Nonstandard dice. Nonstandard dice can produce interesting distributions of outcomes. You have two balanced, six-sided dice. One is a standard die, with faces having one, two, three, four, five, and six spots. The other die has three faces with one spot and three faces with six spots. Find the probability distribution for the total number of spots Y on the up-faces when you roll these two dice.
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Suppose that Wall A is constructed by stacking 30 metal blocks, and that the height of each metal block is an independent N(50, 10) normal random variable. Suppose that Wall B is constructed by stacking 25 wood blocks, and that the height of each wood block is an independent N(61, 4) normal random variable. What are the distributions of the heights of Wall A and Wall B? (b) What is the probability that Wall A is taller than Wall B?
M2.T1: Discrete Random Variable X ✰ uncc.realizeithome.com/RealizeitApp/Student.aspx?Token=fLs7iBaxWamSul6X8DoLQSEYK9UsQnOi0g9kaKopLTlfl6OcYvkiH9eFMpPKgHMkr20BtjXKb4xVDrbunDyK2HWavBF4jL2K4W4pXaznaQ... ☆ The University of N... it f Elements of Statistics / Discrete Random Variables / Learn: Probability Distributions for Discrete Random Variables Lesson path + 1. Random Variable Notation 2. Example Question 1 3. Example Question 2 4. Mean or Expected Value my.charlotte.edu 5. Example Question 3 Realizeit for Student Learn: Probability Distributions for Discrete Random Variables 62°F Clear Tutoring | Universit... X Question 3 Answered: Suppose you play a ga X + Microsoft Office Ho... Pt Periodic Table Suppose you play a game with a biased coin. You play each game by tossing the coin 3 once. P(heads) = and P(tails). If you toss a head, you pay $11. If you toss a tail, you win $6. if you play this game many times, will you come out ahead? (i.e. will you gain extra money from playing this…
4. Instructor's Praise: Suppose the amount of praise an instructor gi ves in his class can be modelled by a Poisson random variable X with rate 3 sentences per class. (a) What is the rate per class (A) and hence the mean and variance of the random variable X. (b) 1,2, 3, 4, 5). (Fill the table below and show all your working) Find the probability that in a particular class he gives I sentences of prai se (where r = (c) that in the next class he gives a sentences of praise (where r= 1,2, 3, 4, 5). Given that the instructor didn't give any praise in the first 10 classes. What is the probability (d) praise, what's the probability that he gave 3 sentences of praise. Find the conditional probability that in a class given that he gives at most 5 sentences of (a) (b) The following are the relevant probabilities: X = r 1 2 3 4 5 P(X = x) (c) The following are the relevant probabilities: | 1 2 3 | 4 |5 X = 1 P(X = x) (d)
4 Define the random variable, its distribution, and compute for the variable/measure that is being asked. You can follow the example below
You are to roll a fair die n = 120 times, each time observing if the topside of the die shows a 6 (success) or not (failure). After observing the n = 120 tosses, you are to count the number of times the topside showed a 6. This count is represented by the random variable X. (a) The distribution of X ? with a mean and a standard deviation Enter your answer using all the decimals you can. (b) Now think about the proportion of your n = 120 tosses that show a six. What can you say about the distribution of this proportion? Complete the sentence, Enter your answer using all the decimals you can. The distribution of ? with a mean and a standard deviation σ you can. ☐ 2 2 ☐ (c) What is the probability that the proportion/percentage of your n = 120 tosses that show a six will be somewhere between 15% and 22%? Enter your answer using all the decimals you can. (d) After the n = 120 tosses of the die, you observe X = 27, the value of the sample proportion is then = 270 = 0.225. What is the…
The waiting times for commuters on the Red Line during peak rush hours follow a uniform distribution between 0 minutes and 12 minutes.
4
which of the following random variables isn't discrete? (a) the number of children in a family (b) the annual rainfall in a city (c) the attendance at a football game (d) the number of patients treated at an emergency room in a day (e) the number of classes taken in one semester by a student

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