In the following probability distribution, the random variable x represents the number of activities a parent of a 6th- to 8th-grade student is involved in. Complete parts(a) through () below.30.099P(x)0.2230.3560.2380.084(a) Verify that this is a discrete probability distribution.This is a discrete probablity distribution because the sum of the probabilities is and each probability is(b) Graph the discrote probability distribution. Choose the correct graph below.O AO8.Oc.OD.0.505-0.50.50404-040.4030.2-0.30.3-02020.2401-01-0.14012 3 412(c) Compute and interpret the mean of the random variable x.The mean is activities(Type an integer or a decimal. Do not round.)Ahinh nf the flnvatinn intnmentntinme of the mann ie nnennt

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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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Determine the required value of the missing probability to make the distribution a discrete probability distribution. P(x) 3 0.16 4 0.52 0.07 P(4) = (Type an integer or a decimal.)
In the following probability distribution, the random variable x represents the number of activities a parent of a 6th- to 8th-grade student is involved in. Complete parts (a) through (f) below. to to 1 2 3 4 P(x) 0.251 0.221 0.266 0.191 0.071 A. B. D. 0.5- 0.5- 0.5¬ 0.5- 0.4- 0.4- 0.4- 0.4- 0.3- 0.3- 0.3- 0.3- 0.2- 0.2- 0.2- 0.2- 0.1- 0.1- 0.1- 0.1- 0- 0- 1 2 3 1 3 4 1 4 2 3 (c) Compute and interpret the mean of the random variable x. The mean is 1.61 activities. (Type an integer or a decimal. Do not round.) Which of the following interpretations of the mean is correct? A. As the number of experiments decreases, the mean of the observations will approach the mean of the random variable. B. The observed value of an experiment will be equal to the mean of the random variable in most experiments. C. As the number of experiments increases, the mean of the observations will approach the mean of the random variable. D. The observed value of an experiment will be less than the mean of the…
Let y denote the number of broken eggs in a randomly selected carton of one dozen eggs. Suppose that the probability distribution of y is as follows. y 0 1 2 3 4 p(y) 0.65 0.18 0.11 0.05 ? (e) What is the probability that the carton contains exactly 10 unbroken eggs? (Hint: What is the corresponding value of y?) (f) What is the probability that at least 10 eggs are unbroken?
Based on historical data kept by a business school, the probability distribution for students who have been found in violation of academic integrity in the core accounting class each semester is given below. Let x = number of students found in violation of academic integrity in a semester in the core accounting class. x Prob(x) 0 0.6 1 0.08 2 0.07 3 0.04 4 0.106 5 0.104 (a) Is this a valid probability distribution? Justify briefly.…
+ The table below shows the demand for laptops in the "New Normal" Probability P(x) Number of Laptops 1 0.18 2 0.20 3 0.15 0.11 0.25 0.06 7 0.05 a. What is the probability that 3 or more laptops will be demanded in a particular day? b. What is the probability that the demand will be 2 but not more than 6 laptops? c. What is the probability that the demand will be at most 7 laptops? d. What is the probability that the demand will be at 8 laptops? 5. 6.
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 P(x) 0.299 0.084 0.131 0.213 0.273 (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
Data were collected from a survey given to graduating college seniors on the number of times they had changed majors. From that data, a probability distribution was constructed. The random variable X is defined as the number of times a graduating senior changed majors. It is shown below: xx 0 1 2 3 4 5 6 7 8 P(X=x)P(X=x) 0.244 0.234 0.233 0.16 0.068 0.039 0.017 0.003 0.002 What is the probability that a randomly selected student changed his or her major at least once? What is the probability that a randomly selected student changed his or her major at most twice? What is the probability that a randomly selected student changed his or her major exactly twice? What is the mean number of times students changed majors? What is the standard deviation of X?
Determine the required value of the missing probability to make the distribution a discrete probability distribution. P(x) O 0.21 X 3. 4. 0.45 0.17 .... P(4) = (Type an integer or a decimal.)
Consider the following probability distribution: -1 6. 8 P(x) 0.15 0.10 0.05 0.5 Find P(6). (Enter your answer as a decimal.) 21
R7
In the following probability distribution, the random variable x represents the number of activities a parent of a 6th- to 8th-grade student is involved in. Complete parts (a) through (f) below. X 1 2 4 P(x) 0.321 0.345 0.156 0.063 0.115 (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
Adam teaches a class on probability calculus. Students have noticed that Adam is generally 3 minutes late, and the irregularity with which he appears in class deviates from the average by 7 minutes. Assuming that the instructor's appearance time in a probability calculus class has a normal distribution, determine the probability that the class will not be held (the instructor will be more than 15 min late). Duration of the class is 90 minutes.

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