Suppose that A and B are denote as event 1 and event 2 respectively and S denote as Sample Space, give explanation in the scenario below;  What do you mean by “if A ∩ B = φ”, that is, if A and B have no elements in common? Explain.

Q: In Hypothesis Testing we use a sample of because in most cases getting a is extremely difficulty if…

A: Given a statement about Hypothesis Testing.

Q: If a couple were planning to have three​ children, the sample space summarizing the gender outcomes…

A: a) The couple plans to have 2 children.

Q: 5- Consider the following sample space, S, and several events defined on it. s= {Albert, Betty,…

A:

Q: Suppose that A and B are denote as event 1 and event 2 respectively and S denote as Sample Space,…

A: Given : A and B are denote as event 1 and event 2 respectively and S denote as Sample Space,

Q: If A,B are two events in the sample space, if P(A) = 0.4 , P(B) = 0.5, P(AN B) = 0.3,then P(Ā UB)

A:

Q: 2.4 Let A and B be two events of the same sample space. If P(A|B) P(A) then the events A and B are…

A: Solution- Given that A and B are two events  P(A|B)=P(A)then the event A and B are always…

Q: A student flips a fair coin 6 times. Answer the following questions: Suppose that after flipping…

A: Given Information: A student flips a fair coin 6 times. Suppose that after flipping the coin all six…

Q: There are eight balls in an urn. They are identical except for color. Four are red, three are blue,…

A: Given: An urn contain 8 balls 4 Red 3 Blue 1 Yellow

Q: 4. Excelsior Law School and Foremost Instute of Law are each going to randomly invite one of the…

A: Let the nine Supreme court judges be numbered from 1 to 9. So, if Excelsior law school invite Judge…

Q: I select two cards from a deck of 52 cards and observe the color of each (26 cards in the deck are…

A:

Q: The sample space contains 5 As and 7 Bs. What is the probability that a randomly selected set of 2…

A: Given: The sample space contains 5 A's and 7 B's. So the total sample space is 12. Probability of…

Q: If three events A, B, and C are independent in a sample space S, find weather the following…

A: Given: Three events A, B and C are independent events in a sample space S. The objective is to…

Q: This problem involves a sample space S with two events, E and F. Assume that Pr[E]=1320Pr[E]=1320,…

A: From the given information, PE=1320P(F|E)=613PE'∩F'=15 1) PF=1-P(E)        =1-1320        =720

Q: Let A and B be events of a sample space. a. Suppose that A and (not B) are mutually exclusive.…

A: a)Here, events A and (not B) are mutually exclusive. This means that event A and ‘not B’ are does…

Q: Which of the following is the appropriate definition for the intersection of two events A and B…

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Q: 12. By combining two events or taking the complement of an event, we can create a new event. When…

A: Given: sample space = {1,2,3,4,5,6,7,8,9} event A ={ 1,2,3,4,5} event B = {4,5,6,7,8} Definitions:…

Q: If S is a sample space, and E and F are events with P(E)= 0.50, P(F)=0.40 and P(E n F)=30. 3.) If…

A: Given,P(A∩B)=2/3P(B)=3/4

Q: Let S = {a, g, I, p, t, x} be a sample space of an experiment and let E = {a, g} and F = {a, p, x}…

A:

Q: (a) A consultant wants to ask workers at a factory about the workers' job satisfaction. Which of the…

A: a)  The random sample is best described by a randomly selected number.  Hence, third option is…

Q: Let the sample space be S={1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Suppose the outcomes are equally likely.…

A: Given S={1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. n(S)=10 E={4, 8}. n(E)=2 P(E)=?

Q: If A and B are two independent events in a sample space S, find weather the following statement is…

A: GivenA and B are independent then (Ac , Bc) and (A,Bc)  also independent

Q: a sample space includes the events A,B& C, draw a venn diagram in which the three events are…

A: Given that, A sample space includes the events A, B and C. We are asked to draw a Venn diagram in…

Q: A probability experiment is conducted in which the sample space of the experiment is S =…

A: The sample space is, S = {11,12,13,14,15,16,17,18,19,20,21,22}.

Q: The sample space of an experiment is S = {a, b, c, d, e} while the probability of obtaining each of…

A: Given that the sample space is S={a, b, c, d, e}. That is, Pa+Pb+Pc+Pd+Pe=1 P(a)=P(b)=P(c)+P(e)=1/8…

Q: One jar contains four balls labeled 1,2,3, and 4. A second jar contains four balls, labeled 1,2,3,…

A:

Q: A bowl contains four apples and one orange. I select two pieces of fruit, one at a time, from the…

A: We know that sample space is collection of al possible outcomes possible outcomes for select two…

Q: Let S = {0, 1, 2, 3, 4, 5, 6, 7, 8} be a uniform sample space, and determine the probability that a…

A: Solution:Concept of probability:Probability deals with the likelihood of occurrence of a given…

Q: If S is a sample space, and E and F are events with P(E)= 0.50, P(F)=0.40 and P(E n F)=30. 1.) What…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: a) Flip 3 coins; each of which has even probability of heads H or tails T Use a tree diagram to…

A: Sample Space(S) refers to all the possible outcomes  Flip a coin: S={Head(H),Tail(T)} Game Results:…

Q: Suppose we have a sample space S and three events A, B, and C such that S = AUBUC and ANB= A and an…

A: To find p(E) :

Q: Consider the following set Ω= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10). Using the definition probability for…

A: Solution: From the given information, the set is

Q: Suppose that S is a sample space and M,N are two events such that S={a, b, c, d, e, f, g, h}, M={a,…

A: If the probability of getting selected for each outcome is equal then such outcomes can be termed as…

Q: a) Make a “tree” diagram for the following scenario.  You go to the corner of State St. and Center…

A: Introduction: The first car may have a driver with hat, or no hat. For either outcome in the first…

Q: Let the sample space be S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Suppose the outcomes are equally…

A: Given : Sample space = S = { 1,2,3,4,5,6,7,8,9,10} Outcomes are equally likely

Q: Suppose an experiment has outcomes black, white, red, orange, yellow, green, blue, and purple, where…

A:

Q: (a) A manager at a bus company wants to survey employees about the new uniforms. Which of the…

A:

Q: Let  S = {a, b, c, d, e, f}  be a sample space of an experiment and let  E = {c, d},   F = {b, c,…

A: GIVEN DATA : The sample space of an experiment S=a, b, c, d, e, f the event E=c, d, Fb, c, e  and…

Q: Let the sample space be S={1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Suppose the outcomes are equally likely.…

A: S={1, 2, 3, 4, 5, 6, 7, 8, 9, 10} n(S) = 10 n(E) = 4

Q: Let S be a sample space with 16 possible events. If A is an event consisting of 3 outcomes of S, how…

A:

Q: If A and B are two independent events in a sample space S, find weather the following statement is…

A: Given that A and B are two independent events This means P(A∩B)=P(A)P(B)

Q: If A and B are two independent events in a sample space S, find weather the following statement is…

A: We know that if two evants A ,B are independentif and only if P(A∩B)=P(A)×P(B)and if A ,B are…

Q: The sample space for independent events A and B is 512. If the sample space for event A is 16, what…

A: We have to find out sample space for event B..

Q: Consider the sample space S [Algebra, Trigonometry, Calculus, Chemistry, Physics, Biology, Filipino}…

A:

Q: Let E and F be events defined on the same sample space. Find Pr[F] if it is known that Pr[E = Pr[EU…

A:

Q: erson draws a playing card and checks it’s suit and then spin a three-space spinner, describe the…

A: Sample space is set of elements which contains all possible outcomes of a random experiment.

Q: This question has 2 parts. Part 1: Suppose that F and X are events from a common sample space with…

A: According to the guidelines only one part will be answered please upload other part separately. Part…

Q: C. However, 20% of laptop from Company A is prone to defect whereas 10% from Company B and 5% from…

A: For the given data Find p( company c /defect ) =?

Q: 1) Let A and B be events on the same sample space, with P (A) = 0.6 and P (B) = 0.7. Can these two…

A: Given: P (A) = 0.6 and P (B) = 0.7

Q: This question has 2 parts. Part 1: Suppose that F and X are events from a common sample space with…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: 2. Give the complement of the event under the given sample space S = {30, 31, 32, 33, 34, 35, 36,…

A: Given information: 2. The sample space S is defined as: S=30,31,32,33,34,35,36,37,38,39 The two…