In this exercise, we examine a probability distribution where 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) as instructed below:| \( x \) | 0 | 1 | 2 | 3 | 4 ||---------|------|------|------|------|------|| P(x) | 0.295 | 0.255 | 0.194 | 0.173 | 0.083 |**(a) Verify that this is a discrete probability distribution.**- This is a discrete probability distribution because the sum of the probabilities is \(\_\_\_\_\_\_\_\_\_) and each probability is \(\_\_\_\_\_\_\_\_\_\).**Options for selection:**- between 0 and 1, inclusive.- greater than 0 and less than 1.- greater than or equal to 0.- less than or equal to 1.**(b) Compute and interpret the mean of the random variable \( x \).**- The mean is \(\_\_\_\_\_\_\_\_\_\) activities.- *(Type an integer or a decimal.)***(c) Compute the standard deviation of the random variable \( x \).**- The standard deviation is \(\_\_\_\_\_\_\_\_\_\) activities.- *(Round to one decimal place as needed.)***(d) 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.)***(e) 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.)*Follow the instructions to complete each step, ensuring calculations are accurate where necessary. This activity builds understanding of discrete probability distributions and their associated measurements.

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Description: In this exercise, we examine a probability distribution where 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) as instructed below:| \( x \) | 0 |

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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. 1 2 3 P(x) 0.295 0.255 0.194 0.173 0.083 (a) Verify that this is a discrete probability distribution. This is a discrete probability distribution because the sum of the probabilities is and each probability is b) Compute and interpret the mean of the random variable x. between 0 and 1, inclusive. The mean is activities. Type an integer or a decimal.) greater than 0 and less than 1. greater than or equal to 0. (c) Compute the standard deviation of the random variable x. less than or equal to 1. The standard deviation is activities. Round to one decimal place as needed.)

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. 1 2 3 P(x) 0.295 0.255 0.194 0.173 0.083 (a) Verify that this is a discrete probability distribution. This is a discrete probability distribution because the sum of the probabilities is and each probability is b) Compute and interpret the mean of the random variable x. between 0 and 1, inclusive. The mean is activities. Type an integer or a decimal.) greater than 0 and less than 1. greater than or equal to 0. (c) Compute the standard deviation of the random variable x. less than or equal to 1. The standard deviation is activities. Round to one decimal place as needed.)

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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