(Question 3A particular concentration of a chemical found in polluted water has beenfound to be lethal to 20% of the fish that are exposed to the concentration for24 hours. Twenty fish are placed in a tank containing this concentration ofchemical in water.3-'a. Find the probability that exactly 14 survive.survive.b. Find the probability that at least 10c. Find the probability that at most 6 lethal.d. Find the mean and variance of the number that survive.(~210n-20

Givenp=0.20n=20Let "x" be the number of fishes survivex~Binomial(n=20,p=0.20)P(X=x)=Cxn×px×(1-p)n-x…

Answered: Question 3 A particular concentration…

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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d, e
Question 6 > 92% of the largest colleges and universities (more than 15,000 total enrollments) have some online offerings. Suppose you randomly pick 44 such intitutions, and let X be the number of intítutions that offer distance learning courses. a. What is the distribution of X? X - ? D Please show the following answers to 4 decimal places. b. What is the probability that exactly 37 intitutions in this study offer distance learning courses? c. What is the probability that at least 37 intitutions in this study offer distance learning courses? d. What is the probability that at most 37 intitutions in this study offer distance learning courses? e. What is the probability that between 35 and 42 (including 35 and 42) intitutions in this study offer distance learning courses? Check Answer
You know that buffaloes have adult weights that are distributed by B = N(2000,200) where the given mean and standard deviation is in Ibs. You inherit a baby buffalo. Find the probability that your buffalo grows up to be at least 1990 pounds. Find the probability that your buffalo will eventually weigh between 1950 and 2100 lbs. How much would your buffalo have to weigh in order to outweigh 98% of all grown buffalo.
A random sample of 100 items is selected from a population of size 350. What is the probability that the sample mean will exceed 200 if the population mean is 195 and the population standard deviation equals 20?
# 3. Use Minitab to simulate 1000 rolls of five dice. Find the number of times that the sum of the five dice is exactly 20. Enter that value here. frequency approach to estimate the probability of getting a 20 when five dice are rolled. Enter the estimated probability here. Based on that result, use the relative Write a sentence or two explaining the difference (advantage or disadvantage) of the classical approach to probability compared to the relative frequency approach to probability. Refer to the results from #1, 2, 3 above in your explanation.
Suppose that a random variable X can take the values {0, 1, 2 ,3,4,5,8,9} all with equal probability. Then the standard deviation of X.* Your answer
* Let X is a Gaussian random variable with zero mean an variance o. Y = X. Find mean of Random Variable Y.
Mensa requies a test score to be in the top 2%. The test has a mean of 100 and Std. Dev. of 15.and scores are normally distributed. If 4 subjects take the test and they have a mean of 132 but the individual scores are lost, can we conclude that all 4 of them are eligible for Mensa?
Suppose X, Y and Z are 3 random variables. The mean of X is 2. The mean of Y is 3. The mean of Z is 4. The standard deviations are 1, 2, and 3 (in the same order). The correlation between any two is -1/4. Find the mean and variance of T = X +Y+ 2Z.
Questions (i) and (ii). Please!
Dandelions have effects on crop production and lawn growth and are studied. In one region, the mean number of dandelions per square meter was found to be 10.8.Find the probability of no dandelions in an area of 1 m².P(X=0)=P(X=0)= Find the probability of at least one dandelion in an area of 1 m².P(at least one) = Find the probability of at most two dandelions in an area of 1 m².P(X≤2)=P(X≤2)=
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