Suppose that we have a sample space S = {E1,E, E3, E4, Es, Es, E7}, where E1, E2,., E7 denote the sample points. The following probability assignments apply:P(E1) = 0.05, P(E) = 0.15, P(E3) = 0.10, P(E4) = 0.20, P(Es) = 0.10, P(Es) = 0.10, and P(E) = 0.30.Assume the following events when answering the questions.A = {E1, E4, Es}B = {E2, E4, E-}C = {E2, E3, Es, E }a. Find P(A), P(B), and P(C). If necessary round your answers to two deicmal places.P(A) =0.14P(B) =P(C) =b. What is A U B?(i) {E3, Es}(ii) {E1, E2, E6, E,}(iii) {E1, E2, E4, E6, E}(iv) {E1, E4, E6}|(v) {E2, E4, E7}(vi) {0}Choice (iii)What is P(AU B)? If necessary round your answer to two deicmal places. c. What is An B?(i) {E1, E2, E6, E,}(ii) {E4}(iii) {E1, E2, E3, Es, Es, E7}(iv) {E1, E4, Es}(v) {E2, E4, Eq }(vi) {o}Choice (ii)What is P(An B)? If necessary round your answer to two deicmal places.d. Are events A and C mutually exclusive?Yes, they are mutually exclusive.e. What is B?(i) {E1, E3, Es, Eg}(ii) {E2, E4, Es, E¡}(iii) {E3, E4, Es, Es}(iv) {E1, E4, Es}(v) {E2, E4, E }(vi) {0}Choice (i)What is P(B)? If necessary round your answer to two deicmal places.

Given: S={E1 ,E2 ,E3 ,E4 ,E5,E6, E7} Some events A,B,C which represents the some sample points from…

Answered: Suppose that we have a sample space S =…

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

A random sample of n1 = 10 regions in New England gave the following violent crime rates (per million population). x1: New England Crime Rate 3.3 3.9 4.2 4.1 3.3 4.1 1.8 4.8 2.9 3.1 Another random sample of n2 = 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population). x2: Rocky Mountain Crime Rate 3.5 4.1 4.5 5.5 3.3 4.8 3.5 2.4 3.1 3.5 5.2 2.8 Assume that the crime rate distribution is approximately normal in both regions. Do the data indicate that the violent crime rate in the Rocky Mountain region is higher than in New England? Use ? = 0.01. Solve the problem using both the traditional method and the P-value method. (Test the difference ?1 − ?2. Round the test statistic and critical value to three decimal places.)
2. Let X be the mean of a random sample of n = 25 from N(30, 9). Find the probability that the sample mean is between 29.8 and 30.6.
(iii) Find (or estimate) the P-value. OP-value > 0.250 O 0.125 < P-value < 0.250 O 0.050 < P-value < 0.125 O 0.025 < P-value < 0.050 O 0.005< P-value < 0.025 OP-value < 0.005 Sketch the sampling distribution and show the area corresponding to the P-value. O -4 -2 0 2 2 M 2 DO Q -2 -2 (iv) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a? O At the a= 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant. O At the a= 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. O At the a= 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant. O At the a= 0.01 level, we reject the null hypothesis and conclude the data are statistically significant. (v) Interpret your conclusion in the context of the application. O Fail to reject the null hypothesis, there…
Suppose a discrete random variable X takes only three values 0, 2 and 3. If P(0)=0.5, P(2)=0.2 and P(3)=D0.3 then P(X>1) is equal to: Select one: a. 0.3 b. 0.2 C. 0.5 d. 0
(Jeff Bezos), Bill Gates (BG) 66 Elon Musk (EM) 50 Jeff Bezos (JB) 57 Mark Zackenberg (MZ) 37 Warren Buffet (WB) 91 1. Assuming that 2 of the ages are randomly selected with replacement, list the 25 possible samples 2. Find the mean of each of the 25 samples, then summarizing the sampling distribution of the means in the format of a table representing the probability distribution. 3. Compare the population mean to the mean of the sample means. 4. Do the sample means target the value of the population mean? In general, do sample means make good estimators of population means? 9
Which of the following is a continuous random variable? A)The number of students arrives to the library checkout desk before noon time. B)The number of students waiting in the cafeteria lane for lunch. C)The travel time of a bus between two cities. D)The number of newspapers sold on a specific date. E)The number phone calls received by call center for a certain period of time.
For each probability and percentile problem, draw the picture.A random number generator picks a number from 1 to 8 in a uniform manner. Part (e) ? = rounded to two decimal places) Part (f) P(3.5 < X < 7.25) = (Enter an exact number as an integer, fraction, or decimal.) Part (g) P(X > 3.67) = (rounded to two decimal places)
She then stops
4. A large insurance company indicates that 78% of the policy holders have at least one health issues and 22% do not health issues. Let Y1 be a random variable defined as Yı = 0, if the policy holder does not have any health issues; Yı = 1, if the if the policy holder have health issues. Write the probability distribution of Y1, E(Y1) and Var(Y1).
Let X be a B (10, 1/2) random variable. What is the probability that X = 5?
A random sample of n1 = 10 regions in New England gave the following violent crime rates (per million population). x1: New England Crime Rate 3.3 3.7 4.2 3.9 3.3 4.1 1.8 4.8 2.9 3.1 Another random sample of n2 = 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population). x2: Rocky Mountain Crime Rate 3.9 4.1 4.5 5.5 3.3 4.8 3.5 2.4 3.1 3.5 5.2 2.8 Assume that the crime rate distribution is approximately normal in both regions. Do the data indicate that the violent crime rate in the Rocky Mountain region is higher than in New England? Use ? = 0.01. Solve the problem using both the traditional method and the P-value method. (Test the difference ?1 − ?2. Round the test statistic and critical value to three decimal places.) test statistic critical value
9

SEE MORE QUESTIONS

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