For events A and B to be considered independent, which of the following would not necessarily hold? Select one: O a. P(B/A) = P(B) O b. P(An B) = P(A)P(B) O c P(An B) = P(A) + P(B) O d. P(A/B) = P(A)
Q: 13. When the occurrence of one event has no effect on the probability of the occurrence of another…
A: 13. When the occurrence of one event has no effect on the probability of the occurrence of another…
Q: Consider the following scenario: • Let P(C) = 0.2 • Let P(D) = 0.3 • Let P(C | D) = 0.4 a. Find…
A: Let P(C) = 0.2 Let P(D) = 0.3 Let P(C | D) = 0.4 To find P(C AND D) : P(C∩ D) = P(C | D) P(D)=…
Q: Let A and B be events with P(A) = 0.5 and P(A∩Bc) = 0.4. For what value of P(B) will A and B be…
A: P(A)=0.5 and P(A⋂Bc)=0.4. The events A and B are independent, if P(A⋂B) = P(A) P(B).
Q: Find P(A and B) if P(A) is 0.3 and the P(B) is 0.4, and events A and B are independent.
A:
Q: If A and B are independent events with P(A) = 0.4 and P(B) = 0.6, then P(AnB)=
A: A and B are independent events P(A) = 0.4 P(B) = 0.6
Q: Find the following probabilities if A and B are disjoint (mutually exclusive) events, and P(A) =…
A: Given P(A)=0.2 and P(B)=0.3 Both A and B are disjoint (mutually exclusive) events. Disjoint Events:…
Q: If A is the complementary event of A, P(A ) = 1 – P(A)< 1.
A:
Q: Given that P(A) = 0.13, P(B) = 0.31, and P(A and B) = 0.0052, are events A and B independent? Yes,…
A:
Q: Given P(A) = 0.72, P(B) = 0.81, and P(A or B) = 0.66, are events A and B mutually exclusive? 1) Yes,…
A:
Q: If E and F are independent events with P(E) = 0.33 and P(F) = 0.33, then what is P(EC U U F)?
A: If E and F are independent events, then P(Ec∩F) = P(Ec)*P(F), where P(Ec) =[1 - P(E)] P(Ec∪F) =…
Q: When two events are independent, the probability of both occurring is: Select one: A. P(A and…
A: If the probability of occurrence of an event A is not affected by the occurrence of another event B,…
Q: Suppose that A and B are two events such that P(A) + P(B) < I. a What is the smallest possible value…
A: Given, A and B are two events such that P(A)+P(B)<1
Q: Suppose that A,B, and C are independent events such that P(A) = 0.8,P(B) = 0.5, and P(C) = 0.3. Find…
A: The Special Multiplication Rule
Q: . If two events A and B are mutually exclusive, what does the special rule of addition state? A) P(A…
A: Since you have asked multiple question, we will solve the first question for you. If you want any…
Q: Let A and B be events with P(A) = 0.8 and P(A ∩ B) = 0.2. For what value of P(B) will A and B be…
A: Given, P(A) = 0.8 P(A ∩ B) = 0.2 P(B)=?
Q: Suppose P(A) = 0.28 and P(B) = 0.48 and A and B are independent. Events A and B are not disjoint.…
A: Answer is mentioned below
Q: Given P(A) = 0.092, P(B) = 0.011, and P(C) = 0.085, and that events A, B, and C are mutually…
A: P(A) = 0.092, P(B) = 0.011, and P(C) = 0.085 Events A, B, and C are mutually exclusive
Q: Given P(A) = 0.061, P(B) = 0.197 and P(C) = 0.080 , and that events AB, and Care mutually exclusive,…
A: Given: P(A)=0.061P(B)=0.197P(C)=0.080 Since all three events are mutually exclusive. The objective…
Q: Given that P(A) = 0.09 P(B) = 0.20 and P(A and d B)=0.018 , are events A and independent ?
A: Given: P(A) = 0.09 P(B) = 0.20 P(A and B)=0.018 The objective is to find if events A and B are…
Q: Given P(A and B) = 0.17, P(A) = 0.21, and P(B) = 0.81 are events A and B independent or dependent?…
A: Two events A and B are called independent if P(A and B)= P(A)*P(B)
Q: Given P(A) = 0.32, P(B) = 0.44, and the fact that events A and B are independent, What is P(A and…
A: Solution: From the given information, P (A) = 0.32, P (B) = 0.44.
Q: Suppose that P(A) - 0.3 and P(B) = 0.6. If events A and B are mutually exclusive, find the following…
A: Mutually exclusive events [MEE]:
Q: A,B, and C are mutually exclusive events such that P(A) = 0.2,P(B) = 0.6, and P(C) = 0.1. Find P(A…
A: The formula for P(A or B or C) is given below:
Q: What is the probability of being accepted into a graduate program or receiving a job offer? That is,…
A:
Q: Show that the probability of the union of (non-mutually exclusive) events A and B can be written as…
A:
Q: Given P(A) = 0.54, P(B) = 0.40, and the fact that events A and B are independent, What is P(A and…
A: P(A) = 0.54 P(B) = 0.40 Event A and Event B are independent events.
Q: If A, B, and C are mutually exclusive events with P(A) = 0.3, P(B) = 0.2, and P(C) = 0.4, determine…
A: According our policy we can answer only first three subpart for remaining please repost the…
Q: If A and B are independent events with P(A)=0.9 and P(B)=0.8, find P(A AND B).
A: It is given that , A and B are the two independent events & their probabilities is P(A) = 0.9…
Q: Given P(A) = 0.91, P(B) = 0.35, and the fact that events A and B are independent, What is P(A and…
A:
Q: When looking at the association between the events "owns a car" and "owns a pet," if the events are…
A: We have to check
Q: Let A and B be events such that P(A) = 0.6, P(B) = 0.5and P(A∪ B) = 0.8.Find P(A B)). Are A and B…
A: We have given that events P(A) =0.6 P(B) =0.5 P(A∪ B) = 0.8 Note: According to Bartleby expert…
Q: Let A and B be events with these properties: 0 < P(B) < 1 and P(A|B) = P(A|B^c) = 1/3.(a) Is…
A:
Q: When two events are independent, the probability of both occurring is P(A and B) = O P(A) + P(B) O…
A: We have to find correct answer...
Q: 2. If A and B are mutually exclusive events and P(A) = 0.3 and P(B) = 0.5, find a.) P(A U B) b.) P…
A: Given A and B are mutually exclusive events and P(A)=0.3 and P(B)=0.5, Find a).P(AUB)b).P(A)'…
Q: Let A and B be events of positive probability. Prove that P(A|B) > P(A) if and only if P(B|A) > P(B)
A: Let , A and B be the two events. We have , P(A)>0 and P(B)>0 i.e. both have positive…
Q: If A and B are independent events and P(a)=0.6 and P(b)=0.3, what is P(a^c U b^c)?
A:
Q: if two events A and B are manually exclusive, what is the value of P(A and B)?
A: If two events not occur at same time,then those events are called as mutually exclusive events.
Q: If A, B, and C are mutually exclusive events with P(A) = 0.3, P(B) = 0.2, and P(C) = 0.4, determine…
A: Ans# Given A, B, and C are mutually exclusive events with P(A) = 0.3, P(B) = 0.2, and P(C) = 0.4…
Q: Which of the following notation is used for not mutually exclusive events? * P(A or B) = P(A) + P(B)…
A: Given that Two events A and B are mutually exclusive events. P(A or B)=P(A)+P(B)
Q: Suppose A, B, and C are events so that P ( A ) = 0.2 , P ( B ) = 0.5 , P ( C ) = 0.3 , P ( A ∩ B )…
A: Suppose A, B, and C are events, So that P ( A ) = 0.2 , P ( B ) = 0.5 , P ( C ) = 0.3 , P ( A ∩ B )…
Q: Suppose A and B are events with P(A) = 0.3, P(B) = 0.65, and P(B|A) = 0.6. Find the value of P(A or…
A:
Q: On the assumption that the two events A and B are mutually exclusive, P(A or B)= P(A)+ P(B). How…
A: If two events A and B are mutually exclusive i.e they can not be occur simultaneously then P(A and…
Q: Determine whether each of the following statements is true or false, and explain why. If two events…
A: Given- If two events are mutually exclusive, then they are independent. To determine- whether the…
Q: Suppose that the events A, B and C are mutually independent with P(A) = 1/2 , P(B) = 1/3, P(C) =…
A: Given A,B, and C are mutually independent P(A) = 1/2 P(B) = 1/3 P(C) = 1/4
Q: Given P(A) = 0.67, P(B) = 0.49, and the fact that events A and B are independent, What is P(A and…
A:
Q: You are given four events A, B, C, D that are independent, and whose probabilities are Pr(A) = 0.6,…
A:
Q: Can you explain: P(M^c ) union P(R)= P(M^c) +P(R) I thought this was true for only mutually…
A:
Q: Show that for two events A and B, any P(A N B) s P(A) s P(A U B) s P(A) + P(B)
A:
Q: (d) The probability of leaving DNA evidence is 10% if the person is not guilty and 95% if the person…
A: Probability helps to find the likelihood of an event.
Q: Given P(A) = 0.02, P(B) = 0.71 , and the fact that events A and B are independent What is P(A and…
A: Probability of event A is P(A)=0.02 Probability of event B is P(B) =0.71.
Step by step
Solved in 3 steps with 1 images
- Suppose you are going on a weekend trip to a city that is d miles away. Develop a model that determines your round-trip gasoline costs. What assumptions or approximations are necessary to treat this model as a deterministic model? Are these assumptions or approximations acceptable to you?Compute the matrix exponential e^At for the system x′=Ax given below. x′1=20x1−20x2, x′2=10x1−10x2 eAt=enter your response hereA possible important environmental determinant of lung function in children is the amount of cigarette smoking in the home. Suppose this question is studied by selecting two groups: Group 1 consists of 23 nonsmoking children 5−9 years of age, both of whose parents smoke, who have a mean forced expiratory volume (FEV) of 2.1 L and a standard devia- tion of 0.7 L; group 2 consists of 20 nonsmoking children of comparable age, neither of whose parents smoke, who have a mean FEV of 2.3 L and a standard deviation of 0.4 L. *8.31 What are the appropriate null and alternative hypoth- eses to compare the means of the two groups?*8.32 What is the appropriate test procedure for the hy- potheses in Problem 8.31? How can we find p value? dont use excel. solve the step by step
- A possible important environmental determinant of lung function in children is the amount of cigarette smoking in the home. Suppose this question is studied by selecting two groups: Group 1 consists of 23 nonsmoking children 5−9 years of age, both of whose parents smoke, who have a mean forced expiratory volume (FEV) of 2.1 L and a standard devia- tion of 0.7 L; group 2 consists of 20 nonsmoking children of comparable age, neither of whose parents smoke, who have a mean FEV of 2.3 L and a standard deviation of 0.4 L.*8.32 What is the appropriate test procedure for the hy- potheses ? Find the p value using the F test. Solve the step by step. do nut use excellA possible important environmental determinant of lung function in children is the amount of cigarette smoking in the home. Suppose this question is studied by selecting two groups: Group 1 consists of 23 nonsmoking children 5−9 years of age, both of whose parents smoke, who have a mean forced expiratory volume (FEV) of 2.1 L and a standard devia- tion of 0.7 L; group 2 consists of 20 nonsmoking children of comparable age, neither of whose parents smoke, who have a mean FEV of 2.3 L and a standard deviation of 0.4 L.*8.32 What is the appropriate test procedure for the hy- potheses ? Find the p value using the F test. Solve the step by step. do not use excell. JUST I WANT TO LEARN P VALUE Using the F Test . BE CAREFUL !!!!!Suppose that you want to analyse the determinants of the murder rate in the United Kingdom using the following model: Murderrt = β0 + β1Convict + β2Unempt + β3Ymalet + ut where Murderrt is the number of murders per 100,000 persons during year t, Convic is the murder conviction rate, Unemp is the national unemployment rate, and Ymale is the fraction of males aged between 18 and 25. Data for all the variables are available for 25 years. a) You estimate this model using the OLS estimator. Explain the properties of the OLS estimator, β 1 ^, and the estimator of the variance, Var(β 1 ^), if the error term ut is serially correlated. b) You suspect the presence of the AR (1) serial correlation in the error term ut and decided to test for it using the Breusch-Godfrey test. State the null hypothesis for the Breusch-Godfrey test. c) Eviews gave you the F-statistic of 8.21 for the Breusch-Godfrey test. Do you reject the null hypothesis? Explain why or why not. If you did find evidence of serial…
- The 3 x 2 matrix A represents the payoff of 3 securities in 2 different states. Divide the securities into linearly independent and redundant ones. If there exist redundant assets, replicate them by using the linearly independent ones.For a linear algebra matrix with initial value, how would I set up a general formula for xk to determine the limit as k approaches infinity for xk?A possible important environmental determinant of lungfunction in children is the amount of cigarette smoking in thehome. Suppose this question is studied by selecting twogroups: Group 1 consists of 23 nonsmoking children 5−9years of age, both of whose parents smoke, who have a mean forced expiratory volume (FEV) of 2.1 L and a standard devia-tion of 0.7 L; group 2 consists of 20 nonsmoking children of comparable age, neither of whose parents smoke, who havea mean FEV of 2.3 L and a standard deviation of 0.4 L. *8.31 What are the appropriate null and alternative hypoth-eses to compare the means of the two groups? *8.32 What is the appropriate test procedure for the hy-potheses in Problem 8.31? *8.33 Carry out the test in Problem 8.32 using the critical-value method. *8.34 Provide a 95% CI for the true mean difference in FEVbetween 5- to 9-year-old children whose parents smoke andcomparable children whose parents do not smoke.*8.35 Assuming this is regarded as a pilot study, how many…