In the following probability distribution, the random variable x represents the number of activities a parent of a K to 5th-grade student is involved in. Completeparts (a) through (f) below.X1234P(x)0.2410.3770.2550.0630.064...Which of the following interpretations of the mean is correct?O A. As the number of experiments increases, the mean of the observations will approach the mean of the random variable.B. The observed value of an experiment will be less than the mean of the random variable in most experiments.C. The observed value of an experiment will be equal to the mean of the random variable in most experiments.D. As the number of experiments decreases, the mean of the observations will approach the mean of the random variable. In the following probability distribution, the random variable x represents the number of activities a parent of a K to 5th-grade student is involved in. Completeparts (a) through (f) below.123P(x)0.2410.3770.2550.0630.064...(a) Verify that this is a discrete probability distribution.This is a discrete probability distribution because the sum of the probabilities is 1 and each probability is

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Answered: In the following probability…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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79% of U.S. adults think that political correctness is a problem in America today. You randomly select six U.S. adults and ask them whether they think that political correctness is a problem in America today. The random variable represents the number of U.S. adults who think that political correctness is a problem in America today. Answer the questions below. Find the mean of the binomial distribution. μ= (Round to the nearest tenth as needed.) Find the variance of the binomial distribution. 0²= (Round to the nearest tenth as needed.) Find the standard deviation of the binomial distribution. 0= (Round to the nearest tenth as needed.) Interpret the results in the context of the real-life situation. Most samples of 6 adults would differ from the mean by no more than (Type integers or decimals rounded to the nearest tenth as needed.)
12
If the random variable X follows a Poisson distribution with parameter 7, what is the probability that X will be within one standard deviation around the mean? O A. 0.658 B. 0.530 O C. 0.601 O D. 0.729
Consider a random variable with the following probability distribution: X P(X) 0 0.25 1 0.5 2 0.25 What is the expected value (mean) of X?
There is a statistical distribution of IQ scores, in which most people fall into the middle and relatively few at the extremes. This type of distribution is called a(n): average bell. bell curve. bias curve. O intelligence quotient.
78% of U.S. adults think that political correctness is a problem in America today. You randomly select six U.S. adults and ask them whether they think that political correctness is a problem in America today. The random variable represents the number of U.S. adults who think that political correctness is a problem in America today. Answer the questions below. Find the mean of the binomial distribution. μ= (Round to the nearest tenth as needed.) Find the variance of the binomial distribution. 0² (Round to the nearest tenth as needed.) Find the standard deviation of the binomial distribution. 0= (Round to the nearest tenth as needed.) Interpret the results in the context of the real-life situation. Most samples of 6 adults would differ from the mean by no more than (Type integers or decimals rounded to the nearest tenth as needed.)
R2
What is the variance of a binomial distribution in which the number of trials n = 100 and the probability of success p = 0.5? 5 100 50 25 0.25
In this activity, we investigate the sampling distribution of the sample mean, X 1. Imagine that you roll a single, fair, six-sided die once. Define the random variable X, to be the number of dots (pips) on the upward face. Complete the probability distribution table for X. P(x) 1 2 3 4 2. Sketch the probability histogram for x below. Let the x-axis be the OUTCOME and let the y-axis be the PROBABILITY. 3. Determine the mean and standard deviation for X. As a reminder, you determine the mean of a discrete probability distribution using u =ExP(x) and the standard deviation is found most simply using the formula o = EX²P(x)- µ² (see page 322). %3D
When parking a car in a downtown parking lot, drivers pay according to the number of hours or fraction thereof. The probability distribution of the number of hours cars are parked has been estimated as follows: X 1 2 3 4 5 6 7 8 P(X) 0.222 0.138 0.123 0.084 0.064 0.039 0.031 0.299 A. Mean = B. Standard Deviation = The cost of parking is 3.75 dollars per hour. Calculate the mean and standard deviation of the amount of revenue each car generates. A. Mean = B. Standard Deviation =
1. The numbers of computers sold per day at a local computer store, along with its corresponding probabilities, is shown in the table. Find the variance and standard deviation. Number of Computers Sold X Probability P(X) 0.1 1 0.2 2 0.3 3 0.2 4 0.2
Using historical records, a manufacturing firm has developed the following probability distribution for the number of days required to get components from its suppliers. The distribution is shown here, where the random variable x is the number of days. X 4 5 6 7 8 P(x) 0.17 0.38 0.31 0.105 0.035

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