Any Tete uistributi8h is applicable when the events of interest occur randomly, independently of one another, and rarely. OTrue

Q: Has been loyal I or more years, given that he or she is from the east? Has been loyal I or more…

A: The conditional probability can be obtained as P(A | B) = P(A and B)/P(B) And two events A and B are…

Q: meet, at random, one of the visitors in this library. If the visitor did a research, the probability…

A:

Q: Suppose that events E and F are​ independent, ​P(E)=0.4​, and ​P(F)=0.6. What is the P(E and F)​?…

A: Given that, Events E and F are independent, and P(E) = 0.4 P(F) = 0.6

Q: If The probability of rain falling on any day in November is 20% find the probability of: A: Rain…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Given events A and B are events with P(~(A u B)=2/3, we can determine the probability of which other…

A: HERE given, P(~(A  ∪ B ) ) = 2/3

Q: write ME if events are Mutually Exclusive and write I if Inclusive.   1. Selecting a female or a…

A: Solution-: We identify following events are mutually exclusive or inclusive. Selecting a female or a…

Q: Which statement below proves A and B are independent events? P(A)=0.23, P(B)=0.62, P(A and…

A: If A and B are independent events then  P(A and B) =P(A) ×P(B)

Q: For not mutually exclusive events A and B, P(A) = 0.59, P(B)=0.46 and P(A B)=0.28. Find the P(AUB).

A: Given:        The A and B are not mutually exclusive P(A) = 0.59 P(B) = 0.46 P(A ∩ B) = 0.28

Q: Suppose that events E and F are independent, P(E) = 0.3, and P(F) = 0.7. What is the P(E and F)? The…

A:

Q: If A is the complementary event of A, P(A ) = 1 – P(A)< 1.

A:

Q: Determine whether each of the following statements is true or false, and explain why.The probability…

A: Given statement is true The value of the probability of a sure event is 1 An event is a sure event…

Q: If two orders are selected, find the probability that they are both from Restaurant D. a. Assume…

A: A B C D Total Order accurate 328 265 238 148 979 Order not accurate 36 57 31 11 135 Total…

Q: Given that A and B are independent events, show that ?̅ and B are also independent events

A: Given: Given that A and B are independent events, show that ?̅ and B are also independentevents

Q: Suppose two events A and B are independent, with P(A) ≠ 0 and P(B) ≠ 0. By working through the…

A: Probability: If a random experiment results in n mutually exclusive and equally likely outcomes; out…

Q: If P(A) = .55, P(B A) = .4, P(A N B) = .22, and A and B are independent events, find P(B). %3D

A:

Q: A,B and c are events: P(A)=.35, P(B)=.45, P(C)=.55. Which of these events, if any could be…

A: The probability of event A (say) and the probability of its compliment is equal to 1.

Q: Wing Foot is a shoe franchise commonly found in shopping centers across the United States.  Wing…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Determine if the events are mutually exclusive. Select a song on the radio: It is a rap song and it…

A: The given sentence needs to be determined if it is mutually exclusive or not: Select a song on the…

Q: Given P(A) = 0.35, P(B) = 0.08, and P(A or B) = 0.43, are events A and B mutually exclusive?

A: Given: P(A) = 0.35 P(B) = 0.08 and P(A or B) = 0.43

Q: Consider the notation: P(E∣F)P(E∣F) Which event do we have knowledge of having already occurred?

A: The conditional probability is as below: PA|B=PA∩BPB

Q: In parts (a) and (b), identify whether the events are Mutually Exclusive, Independent, or Neithe…

A: (a) If the probability of occurrence of one event is not affected by the probability of occurrence…

Q: etermine whether the events are disjoint. Meet a man with an umbrella. Meet a man with a raincoat.

A: Solution-: We have  following two events Meet a man with an umbrella.Meet a man with a raincoat. We…

Q: a) Show that the probability of the union of (non-mutually exclusive) events A and B can be written…

A: Let A and B are the two events. The union of two events is, PA∪B=PA+PB-PA∩B.............(1)

Q: Which of the following is NOT a correct statement about a probability?

A: We know that  Probability =Number of favorable eventsTotal number of events The probability value…

Q: A dice is rolled once. Let E be the event of an even number coming up, O the event of an odd number…

A: From the given information we want to know the event are independent or not.

Q: Dolon Web Security Consultants requires all job applicants to submit to a test for illegal drugs. If…

A: Given that, The test has a 90 percent chance of a positive result. If the applicant has not used…

Q: -Find the probability that the it is not get out of order in a month? -Find the probability that the…

A:

Q: For a medical experiment, people are clas-sified as to whether they smoke, have a family history of…

A: E: person smokes F: person has a family history of heart disease G: person is overweight

Q: Given p(A) = 0.5 and p(B) = 0.2 and A and B are mutually exclusive events. Are these events…

A:

Q: Suppose you toss a fair coin twice. Let E be the event of getting a head on the first toss, and let…

A: a) When a fair coin is tossed twice then the possible outcomes are {HH,HT,TH,TT} We can get a head…

Q: Which of the pairs of events below is dependent? Select the correct answer below: drawing a 2 and…

A: (a) Drawing of 4 is not dependent on drawing of 2.  So both are independent events. (b) Rolling two…

Q: If A and B are independent events, show that A' and B are also independent. [Hint: First estabblish…

A: Independent events:If the events A and B are said to be independent then P (A and B) = P (A) × P…

Q: Let ? and ? be two mutually exclusive events. Given that (?)=0.25 and ?(?∪?) =0.77, determine ?(?).

A: Given: P(A)=0.25 P(A∪B)=0.77

Q: If A and B are events with P(A)=0.7, P(A OR B)=0.89, and P(A AND B)=0.01, find P(B).

A: Solution-: Given: P(A)=0.7,P(A OR B)=0.89, P(A AND B)=0.01  We find P(B)=?

Q: The statement that “?(?|?) = ?(?|?) whenever ? and ? are independent events” is

A: we have given that  independent events .

Q: For a given event, A, P(A) = 0.34.  For a second given event, B, P(B) = 0.44.  Additionally, P (A ⋃…

A:

Q: GIVEN P(E) =0.35 P(F) =0.08 AND P( E AND F) =0.402…

A:

Q: If A and Bare events with P(A) 0.6, P(A OR B) 0.98, P(A AND B) 0.02, find F(B). Provide your answer…

A: Obtain the probability of P(B).   The probability of P(B) is obtained below as follows:   The value…

Q: Decide whether the following pairs of events are dependent or independent C is the event that it…

A: Given that  C= the event that it rains more than 10 days in Chicago next June D= the event that it…

Q: Aeovem 041 AC iS Ahe complemend of an event A, then fLA)= 1- PCA).

A: It a lemma that P(A')= 1-P(A). P(A') is compliment probability of A.

Q: If P(A)=0.7, P(B) = 0.75, P(C)= 0.8, P(AUB)=Q.8, P(AUC)=0.85, P(BUc)=0.9 and P(AUBUC)=0.95. find the…

A: Given that P(A)=0.7, P(B) = 0.75, P(C)= 0.8, P(A U B)=0.8, P(A U C)=0.85, P(B U C)=0.9 And, P(A U B…

Q: Suppose that events E and F are independent, P(E)= 0.4, and P(F)=0.7. What is the P(E and F)? The…

A:

Q: If A and B are events with P(A)=0.5, P(A OR B)=0.75, and P(A AND B)=0.05, find P(B).

A:

Q: Which of the following statements has the greatest probability?

A: Here USE BAYES RULE FOR GIVEN SCENARIO

Q: Decide whether the events are mutually exclusive. Owning a china hutch and owning a calculator Are…

A: An event consists of a set of outcomes of an experiment to which the prob. is assigned.

Q: AUB is the event that occurs if ..... .A A occurs and B occurs .B A occurs or B occurs (or both)

A: Given : Let A and B be the two event  A∪B : It is the union of A and B It means that occur event A…

Q: If P(A)= 0.6, P(B) = 0.5, P(AUB) =0.9, then A and B are mutually exclusive events. Select one: OTrue…

A: Given P(A)=0.6P(B)=0.5P(AUB)=0.9

Q: If A , B, C are independent events, show directly that both A U B and A \ B are independent of C.

A: Event: In probability theory, an event is an outcome or a set of outcomes of a random experiment to…

Q: Let A and B be two mutually exclusive events. Given that (A)=0.25 and ?(A∪B) =0.77, determine ?(B)

A: Given that: P(A)=0.25 and P(A∪B) =0.77 Given that A and B be two mutually exclusive events. This…

Q: If A and C are two events in a probability model such that 0 P(A).

A: Given A and C are two events and satisfy these two conditions.0&lt;P(C)&lt;1P(A|C)&lt;P(A) Using the…

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!