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.1234P(x)0.0610.2660.1580.1460.369.... .(a) Verify that this is a discrete probability distribution.This is a discrete probability distribution because the sum of the probabilities isand each probability is(b) Graph the discrete probability distribution. Choose the correct graph below.O A.В.OC.O D.0.5-0.5-0.5-0.5-0.4-0.4-0.4-0.4-0.3-0.3-0.3-0.3-0.2-0.2-0.2-0.2-0.1-0.1-0.1-0.10-0 10-123434134134(c) Compute and interpret the mean of the random variable x.The mean isactivities.(Type an integer or a decimal. Do not round.)Which of the following interpretations of the mean is correct?O 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 less than the mean of the random variable in most experiments.

Answered: Image /qna-images/answer/262dfca1-6fc8-4554-a45d-ab2f25a917ed.jpg

Answered: In the following probability…

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...

See similar textbooks

Similar questions

Suppose Nancy has classes three days a week. She attends classes three days a week 80% of the time, two days 15% of the time, one day 4% of the time, and no days 1% of the time. Suppose one week is randomly selected. The probability distribution is given below. Find the probability that Nancy attends classes more than 1 day. x P(x) 0 0.01 1 0.04 2 0.15 3 0.80
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 4 P(x) 0.096 0.396 0.135 0.063 0.310 ..... (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 between 0 and 1, inclusive. (b) Graph the discrete probability distribution. Choose the correct graph below. A. В. C. 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- 01- 0.1- to to to 0- 0- 0- 0- 1 1 3 1 3 4 1 2 3 4 (c) Compute and interpret the mean of the random variable x. The mean is activities. (Type an integer or decimal. Do not round.) Which of the following interpretations of the mean is correct? A. The observed value of an experiment will be equal to the mean of the random variable in most experiments. B. As the number of…
Let x be the number of courses for which a randomly selected student at a certain university is registered. The probability distribution of x appears in the table shown below. x 1 2 3 4 5 6 7 p(x) 0.04 0.05 0.09 0.24 0.36 0.14 0.08 (a) What is P(x = 4)? P(x = 4) = (b) What is P(x ≤ 4)? P(x ≤ 4) = (c) What is the probability that the selected student is taking at most five courses? (d) What is the probability that the selected student is taking at least five courses? (e) What is the probability that the selected student is taking more than five courses?
Determine the required value of the missing probability to make the distribution a discrete probability distribution. P(x) - 0.22 4 ? 0.46 6. 0.16 ... P(4) = (Type an integer or a decimal.)
Determine whether or not the table is a valid probability distribution of a discrete random variable. Explain fully. a. -2 P(X=x) 0.3 0.5 0.2 0.1 The total of the probabilities must equal to 0- 1. Adding (0.3) + (0.5) + (0.2) + (0.1) = 1.1. Which makes this table not a valid probability distribution because 1.1 does not meet to 1. b. 0.5 0.25 0.2 0.05 P(X=x) -0.4| 0.4 0.5 0.5 Adding (-0.4) + (0.4) + (0.5) + (0.5) = 1.| C. -2 -1 1. P(X=x) | 0.16 0.14 | 0.11 | 0.27 | 0.22
Dirty air: The federal government has enacted maximum allowable standards for air pollutants such as ozone. Let X be the number of days per year that the level of air pollution exceeds the standard in a certain city. The probability distribution of X is given by x 0 1 2 3 4 Px 0.34 0.39 0.17 0.06 0.04 1. Find P(3) 2. Find P(2 or fewer). 3. Find the probability that the standard is exceeded on at least one day. 4. Find the probability that the standard is exceeded on more than one day. 5. Compute the mean ux. Round the answer to two decimal places. 6.Compute the standard deviation σx. Round the answer to three decimal places.
Determine the required value of the missing probability to make the distribution a discrete probability distribution. Р(x) 3 0.24 4 ? 0.22 0.26 P(4) = (Type an integer or a decimal.)
A random variable ?X can take on the value 0,0, 1,1, 2, or 3.2, or 3. Select a legitimate discrete probability distribution for ?.for X. ?X 00 11 22 33 ?(?)P(X) 0.20.2 0.10.1 0.20.2 0.30.3 ?X 00 11 22 33 ?(?)P(X) 0.30.3 0.30.3 0.30.3 0.30.3 ?X 00 11 22 33 ?(?)P(X) 0.50.5 0.20.2 0.40.4 −0.1−0.1 ?X 00 11 22 33 ?(?)P(X) 0.50.5 0.30.3 0.10.1 0.10.1
The random variable x is the number of houses sold by a realtor in a single month at the Sendsom's Real Estate Office. Its probability distribution is as follows. State which values are unusual, if any.Houses Sold (x) Probability P(x)0 0.241 0.012 0.123 0.164 0.015 0.146 0.117 0.21
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. 3 0.099 P(x) 0.223 0.356 0.238 0.084 (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 A O8. Oc. OD. 0.5 05- 0.5 0.5 04 04- 04 0.4 03 0.2- 0.3 0.3- 02 02 0.24 01- 01- 0.14 012 3 4 12 (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
A local television station sells 15-second, 30-second, and 60 second advertising spots. Let x denote the length of a randomly selected commercial appearing on this station, and suppose that the probability distribution of x is given by the table below. x 15 30 60 p(x) 0.2 0.3 0.5 (a) Find the mean length for commercials (in seconds) appearing on this station. sec (b) If a 15-second spot sells for $600, a 30-second spot for $800, and a 60-second spot for $1,000, find the average amount paid (in dollars) for commercials appearing on this station. (Hint: Consider a new variable, y = cost, and then find the probability distribution and mean value of y.) $
Determine whether or not the table is a valid probability distribution of a discrete random variable. Explain fully (i). x 0 1 2 3 4 P(x) -0.25 0.50 0.35 0.10 0.30 Soln. (ii). x 1 2 3 P(x) 0.325 0.406 0.164 Soln.(iii). x 25 26 27 28 29 P(x) 0.13 0.27 0.28 0.18 0.14

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS