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Let C' and M be events such that a randomly chosen...
Question 1 Select one answer. Let A and B be two independent events. If P(A) =...
Question 1 Select one answer. Let A and B be two independent events. If P(A) = 0.5, what can you say about P(A | B)? Cannot find it because P(B) is not known. Cannot find it because P(A and B) is not known. Cannot find it because both P(B) and P(A and B) are not known. It is equal to 0.5. It is equal to 0.25. Question 2 Select one answer. Suppose a basketball team had a season of games...
Multi-part question: Please show explanation and step by step work. 4. Let A and B denote...
Multi-part question:
Please show explanation and step by step work.
4. Let A and B denote two events with P(A) = 0.7 and P(B) = 0.8. a. What is smallest possible value for P(An B)? In what case will that happen? b. What is largest possible value for P(AN B)? In what case will that happen? c. What are smallest and largest possible values for P(AUB)?
Multi-part question: Please show explanation and step by step work!! 2. Let A and B denote...
Multi-part question:
Please show explanation and step by step work!!
2. Let A and B denote two events with P(A-04 and P(B) = 0.5. a. What is smallest possible value for P(AnB)? In what case will that happen? b. What is largest possible value for P(An B)? In what case will that happen? c. What are smallest and largest possible values for P(AUB)?
Consider randomly selecting a student at a certain university, and let ? denote the event that...
Consider randomly selecting a student at a certain
university, and let ? denote the event that the selected individual
has a Visa credit card and ? the analogous event for a MasterCard.
Suppose that ?(?) = 0.5, ?(?) = 0.4, and ?(? ∪ ?) = 0.65.
a. What is the probability that the student has both types of
cards?
b. What is the probability that the student has a MasterCard but
not a Visa?
c. What is the probability the...
1.5. Review Exercises 1. If we randomly pick two television sets in succession from a shipment...
1.5. Review Exercises 1. If we randomly pick two television sets in succession from a shipment of 240 television sets of which 15 are defective, what is the probability that they will both be defective? 2. A poll of 500 people determines that 382 like ice cream and 362 like cake. How many people like both if each of them likes at least one of the two? (Hint: Use P(AU B)-P(A) + P(B)-P(A n B) ). 3. The Mathematics Department...
For a person selected randomly from a certain population, M is the event that the person...
For a person selected randomly from a certain population, M is the event that the person is MALE and s is the event that the person is a SMOKER. Let P(M) = 0.45, P(S) = 0.25 and P(MS) - 0.15. Hint: Use a Venn Diagram 6. What is the probability that a randomly selected person is a Male or a Smoker, that is, P(A? A. 07 None of the above В. О. 1125 C. 0.55 D. 0.85 E. 7. P(S)-0.55....
Problem #3: Let A and B be two events on the sample space S. Then show...
Problem #3: Let A and B be two events on the sample space S. Then show that a. P(B) P(AOB)+P(AnB) b. If Bc A, then show that P(A)2 P(B) Show that P(A| B)=1-P(A|B) C. P(A) d. If A and B are mutually exclusive events then show that P(A| AUB) = PA)+P(B) Problem 4: If A and B are independent events then show that A and B are independent. If A and B are independent then show that A and B...
Let P(A) = 0.4 P(B) = 0.5 P(A|B) = 0.2 (Please show working). If the events...
Let P(A) = 0.4 P(B) = 0.5 P(A|B) = 0.2 (Please show working). If the events a and b are independent, calculate the P(A and B) If the events a and b are not independent, calculate the P(A and B) If the events a and b are mutually exclusive, calculate the P(A or B)
Hello, I would like to solve 4.5 step by step please 4.5 Let G be finite....
Hello,
I would like to solve 4.5 step by step please
4.5 Let G be finite. Show that the probability that two elements of G chosen at random commute with each other is equal to k/G], where k is the number of conjugacy classes of G. (The two elements are allowed to be equal; they are chosen randomly with replacement.) 4.6 Find a formula for the number of fundamentally different ways to color the six fel. Tidad
PLEASE SHOW STEP BY STEP HOW TO DO THE PROBLEN The mean amount of time it...
PLEASE SHOW STEP BY STEP HOW TO DO THE PROBLEN The mean amount of time it takes a kidney stone to pass is 15 days and the standard deviation is 4 days. Suppose that one individual is randomly chosen. Let X = time to pass the kidney stone. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(,) b. Find the probability that a randomly selected person with a kidney stone...
Multi-part question:
Please show explanation and step by step work.
4. Let A and B denote two events with P(A) = 0.7 and P(B) = 0.8. a. What is smallest possible value for P(An B)? In what case will that happen? b. What is largest possible value for P(AN B)? In what case will that happen? c. What are smallest and largest possible values for P(AUB)?
Multi-part question:
Please show explanation and step by step work!!
2. Let A and B denote two events with P(A-04 and P(B) = 0.5. a. What is smallest possible value for P(AnB)? In what case will that happen? b. What is largest possible value for P(An B)? In what case will that happen? c. What are smallest and largest possible values for P(AUB)?
Consider randomly selecting a student at a certain
university, and let ? denote the event that the selected individual
has a Visa credit card and ? the analogous event for a MasterCard.
Suppose that ?(?) = 0.5, ?(?) = 0.4, and ?(? ∪ ?) = 0.65.
a. What is the probability that the student has both types of
cards?
b. What is the probability that the student has a MasterCard but
not a Visa?
c. What is the probability the...
1.5. Review Exercises 1. If we randomly pick two television sets in succession from a shipment of 240 television sets of which 15 are defective, what is the probability that they will both be defective? 2. A poll of 500 people determines that 382 like ice cream and 362 like cake. How many people like both if each of them likes at least one of the two? (Hint: Use P(AU B)-P(A) + P(B)-P(A n B) ). 3. The Mathematics Department...
For a person selected randomly from a certain population, M is the event that the person is MALE and s is the event that the person is a SMOKER. Let P(M) = 0.45, P(S) = 0.25 and P(MS) - 0.15. Hint: Use a Venn Diagram 6. What is the probability that a randomly selected person is a Male or a Smoker, that is, P(A? A. 07 None of the above В. О. 1125 C. 0.55 D. 0.85 E. 7. P(S)-0.55....
Problem #3: Let A and B be two events on the sample space S. Then show that a. P(B) P(AOB)+P(AnB) b. If Bc A, then show that P(A)2 P(B) Show that P(A| B)=1-P(A|B) C. P(A) d. If A and B are mutually exclusive events then show that P(A| AUB) = PA)+P(B) Problem 4: If A and B are independent events then show that A and B are independent. If A and B are independent then show that A and B...
Hello,
I would like to solve 4.5 step by step please
4.5 Let G be finite. Show that the probability that two elements of G chosen at random commute with each other is equal to k/G], where k is the number of conjugacy classes of G. (The two elements are allowed to be equal; they are chosen randomly with replacement.) 4.6 Find a formula for the number of fundamentally different ways to color the six fel. Tidad
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