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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In this time of pandemic , online shopping is becoming the norm. Suppose an online shop is selling 10 scientific calculators but the seller is unaware that 2 of these calculators are defective. Suppose you buy 3 scientific calculators from this shop, determine the (a) probability distribution (tabulate) and the (b) cumulative distribution of the random variable X representing the number of the scientific calculators that are defective. pls answer in COMPLETE pls answer in FRACTION or 4dec places
7
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?
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İs it true ore false?
Data from 14 cities were combined for a 20-year-period, and the total 280 city-years included a total of 168 homicides. After finding the mean number of homicides, find the probability that a randomly selected city has the followng number of homicides. Homicides each city-year: 0, 1, 2, 3, 4 Actual results: 155, 90, 28, 6, 1 P(0)=
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