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. Complete parts (a)through (f) below.+to1234P(x)0.2410.3770.2550.0630.064O C. The observed value of an experiment will be equal to the mean of the random variable in most experiments.O D. As the number of experiments decreases, the mean of the observations will approach the mean of the random variable.(d) Compute the standard deviation of the random variable x.The standard deviation isactivities.(Round to one decimal place as needed.)(e) What is the probability that a randomly selected student has a parent involved in three activities?The probability is(Type an integer or a decimal. Do not round.)(f) What is the probability that a randomly selected student has a parent involved in three or four activities?The probability is(Type an integer or a decimal. Do not round.)

From the provided information, The probability distribution table is as follow: X 0 1 2…

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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Does the following table represent the probability distribution for a discrete random variable? Explain your answer.
The following table lists the probability distribution of a discrete random variable x: 2 3 4 5 6 7 8 P(x) 0.15 0.32 0.20 0.13 0.12 0.06 0.02 The standard deviation of the random variable x, rounded to three decimal places, is: i
The accompanying table describes the random variable x, the numbers of adults in groups of five who reported sleepwalking. Complete parts (a) through (d) below. x P(x) 0 0.187 1 0.403 2 0.271 3 0.114 4 0.021 5 0.004 a. Find the probability of getting exactly 4 sleepwalkers among 5 adults. _______ (Type an integer or a decimal. Do not round.) b. Find the probability of getting 4 or more sleepwalkers among 5 adults. _________ (Type an integer or a decimal. Do not round.) c. Which probability is relevant for determining whether 4 is a significantly high number of sleepwalkers among 5 adults: the result from part (a) or part (b)? A. Since the probability of getting 4 or more sleepwalkers is the probability of the given or more extreme result, the result from part (b) is the relevant probability. B. Since the probability of getting 5 sleepwalkers…
High school students in Michigan sometimes get "snow days" in the winter when the roads are so bad that school is canceled for the day. Define the random variableX = the number of snow days at a certain high school in Michigan for a randomly selected school year. Suppose the table below gives the probability distribution of X. 1. Value x, 1. 3 4 5 6 7 8 9 10 Probability p, ? 0.19 0.14 0.10 0.07 0.05 0.04 0.04 0.02 0.01 0.01 (a) Write the event “the school year has O snow days" in terms of X. Then find its probability. (b) At this high school, if more than 5 snow days are used over the course of the year, students are required to make up the time at the end of the school year. What's the probability that a randomly selected school year will require make-up days?
Suppose the random variable Z follows a standard normal distribution. Then the probability is 0.20 that Z is less than the value O a. 0.84 O b. -0.84 O c. - 0.80 Od. 0.80
R3
Find the mean and variance of the following discrete random variable distribution.? ?(?)0 0.35 1 0.45 2 0.16 3 0.04
The joint distribution of the pair of random variables as given in the following table: 0 Y 1 2 -10 X 0 0.1 0.2 0.1 0 10 0.2 0 0.1 0.1 0.2 What is E(X | Y > 0)? -3.33 0.000 -4.00 3.33 -2.00 No answer
The probability distribution of random variable, X, is defined as follows: X 0 1 2 3 4 Probability 0 .3 .1 .3 .3 The P(X = 0) =?
A discrete random variable, y, has a probability distribution y: 6, 7, 8,9,10,11 and P : 0.13 ,0.26 ,0.14, 0.09 ,0.11,0.27 Calculate the standard deviation of y. a. O 0 O b. 1 C. O 0.54 d. no one of them O
Consider the population described by the probability distribution shown below. The random variable is observed twice with independent observations. Sample X p(x) 0.2 4 5 0.2 6 7 0.2 20000 NANNI. 0.4 4,4 4,5 4,6 4,7 5,4 5,5 5,6 5,7 Full data set Probability 0.04 0.04 0.08 0.04 0.04 0.04 0.08 0.04 Sample 6,4 6,5 6,6 6,7 7,4 7,5 7,6 7,7 Probability 0.08 0.08 0.16 0.08 0.04 0.04 0.08 0.04 a. Complete the sampling distribution table. Type the x values in ascending order. x 4.5 5 6.5 7 Probability 0.04 (Type exact answers in simplified form.) 0.24 0.24

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