Q2: Two numbers x and y are selected at random between zero and one. Let the events A, B, and C be defined as follows: A = (x > 0.6), B = (y> 0.2), and C = (x > 2y). Are the events A and B independent? Are A and C independent?

Q: Judy applied to ten colleges. Each college can either accept (A) or reject (R) her application.…

A: Given that: Success probability, p=0.40 Sample size, n=10

Q: A student goes to the library. Let events B= The student checks out a book and D = The student…

A: Given, Event B=the student check out a book Event D=the student check out a DVD PB=.2PD=.65PD/B=.25…

Q: Suppose that A and B are independent events such that P(A) = 0.3 and P(B) = 0.2. Find P(A&B).

A: The Special Multiplication Rule (for two independent event)

Q: Two events A and B are such that 2 P(A) = x, P(B) = 17 - P(AUB) = 21 Find the value of x if the…

A:

Q: We are given that  P(A | B) = 0.2  and  P(A) = 0.9.  Since  P(A | B) ≠ P(A),  the occurrence of…

A: Since  P(A | B) ≠ P(A),  the occurrence of event B changes the probability that event A will occur.…

Q: Let A and B be events such that P(A) = 0.5, P(B) = 0.4 and P(A∪B) = 0.6 .     Find P(A|B)

A:

Q: A student goes to the library. Let events B = the student checks out a book and D = the student…

A: Let define the events: B = the student checks out a book   D = the student check out a DVD The known…

Q: smoke detector system uses two devices, A and B. Suppose the probability that it will be detected by…

A:

Q: Given  P(A) = 0.6 and   P(B) = 0.2,  do the following. (For each answer, enter a number.) (a)  If…

A: It is known that P(A) = 0.6 and P(B) = 0.2. Here, it is mentioned that A and B are independent…

Q: Please state if the answer istrue or false. Thank you Two events, A and B, are independent if P(A…

A: Given statement is,  Two events, A and B, are independent if P(A and B) = P(A) × P(B)

Q: A AC Total B 0.443 0.005 0.528 BC 0.224 0.24 0.427 Total 0.667 0.333 1

A: From the cross-tabulation table, we have P( A ) = 0.667 P( B ) = 0.528 P( Ac and B ) = P( B ) - P( A…

Q: A student goes to the library. Let B = the student checks out a book and D = the student checks out…

A: Given:P(B) =0.74, P(D) =0.38 and P(B|D) = 0.74.

Q: You are to randomly pick one disk from a bag that contains the disks shown below. Find P(face|pink),…

A:

Q: For two events A and B , P(A)=0.7 , P(B)=0.4 , and P(A∩B)=0.28. Determine whether or not A and B are…

A: Given that  P(A)=0.7 , P(B)=0.4 , and P(A∩B)=0.28

Q: A student took two tests. The probability of her passing both tests is 0.6. The probability of her…

A: event A passing first test = 0.8  P(A) = 0.8 event B passing second test P (B) =? passing both…

Q: A committee of 5 persons is to be selected randomly from a group of 5 men and 10 women. (a) Find the…

A: Given that there are 5 men and 10 women. So total (5+10)=15 people.   We can select any 5 people in…

Q: A student goes to the library. Let events B = the student checks out a book and D = the student…

A:

Q: For independent events A and B , P(A)=0.80 and P(B)=0.20, Find P(A∩B) a. 1/2 b. 1/4 c. 16/25 d.…

A: Two events A and B are given.

Q: The probability a student has blue eyes is p. Five students are selected at random. Write down, in…

A: It was stated that the probability that a student has blue eyes is p. Five students are selected at…

Q: A student goes to the library. Let events B = the student checks out a book and D = the student…

A: We have given that,  P(B) = 0.56, P(D) = 0.95 and P(B AND D) = 0.39. Then, We will find P(D|B) = ?

Q: Q2. Write the four conditions to say the events E, F and G are said to be independent.

A: The four conditions to say the events E, F and G are independent are,

Q: For two events A and B, P(A)=0.24, P(B)=0.57, and P(A∩B)=0.32. a.Find P(A|B) b. Find P(B|A) c.…

A:

Q: P(A) = 0.6 P(B) = 0.5 P(A|B) = 0.42 P(A) = 0.3 P(B) = 0.5 P(A|B) = 0.3 P(A) = 0.45 P(B) = 0.75 P(A…

A: Determine if events A and B are independent for given problems

Q: The Addition Rule says that P(A or B) = P(A) + P(B). What must be TRUE about events A and B for this…

A:

Q: For any two events A and B, show that P(ĀOB)=P(B) –- P(A B).

A: Answer: From the given data, A and B are any two events

Q: ia has five numbered cards. One of these cards is chosen at random. Mia says: The probability of an…

A: Sample space: {1A, 1B, 1C, 2A, 2B, 2C, 3A, 3B, 3C} As we know that the sample space consists of all…

Q: 7. A family that is known to have two children is selected at random from amongst all families with…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Q P.16: P(A and B) = 0. 32, P(not A and B) = 0.48. Find P(A) and P(B) if events A and B are…

A: If two events  are independent then,  As well as,

Q: For the given pair of events, classify the two events as independent or dependent. Getting caught in…

A: Event1 : (Getting caught in traffic)  Event 2 : (Spilling coffee in the car)  Dependent events :  *…