c) Three coin are tossed. Write down the sample space hence copy and complete the table of probabilitiesdistribution P(X = x) of X = 0, 1, 2, and 3 heads below hence find the expected value E(X)xp(x)01338823

We have given that 3 coins are tossed.X shows the number of headsx0123p(x)3/8

Answered: c) Three coin are tossed. Write down…

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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2. Let the random variables Y, Y,, ...,Y, be normally distributed with mean 10 and variance 4. Find a valuek such that Σ ;- 10 2
Select all that apply. We show that our sample statistics have (at minimum) a somewhat normal distribution because this allows us to use t and z critical values. this allows us to use t and z tables for probabilities. this tells us that our sampling is appropriate. normal distributions are cool and that's all we talk about in this class.
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…
4. Let X be a random variable with values 2, 3, 5, and 6. Find the sampling distribution of the mean of the samples without replacement if n=2. Sample size of Sample Mean Sample Mean x Probability P(x) f
9
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plz provide handwritten answer for part b
14) Xi -2 -1 0 1 Consider the following probability distribution. The variance is A) 1.14 B) 1.29 C) 1.65 D) 1.94 P(X = X₁) 0.2 0.1 0.3 0.4
Q.6. Use the binomial distribution in which n 6 and p = 0.3 to %3D calculate the following probabilities: (a). X is at most 1. (b). X is at least 2. (c). X is more than 5. (d). X is less than 6.
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point) Four buses carrying 157 high school students arrive to Montreal. The buses carry, respectively, 33, 50, 25, and 49 students. One of the studetns is randomly selected. Let X denote the number of students that were on the bus carrying this randomly selected student. One of the 4 bus drivers is also randomly selected. Let Y denote the number of students on his bus. Compute the expectations and variances of X and Y: E(X) = Var(X) = E(Y) = Var(Y) =

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c) Three coin are tossed. Write down the sample space hence copy and complete the table of probabilities distribution P(X = x) of X = 0, 1, 2, and 3 heads below hence find the expected value E(X) X p(x) 0 1318 2 3