If A and B are mutually exclusive, then P(AI AUB)= P(A) P(A) + P(B)

Q: Suppose that E and F are two events and that N(E and F)=380 and N(E)=850. What is P(FIE)? P(FIE)…

A: We have given that N(E and F) = 380 N(E) = 850 We have to find P(F/E) = ?

Q: 6. A continuous random variable X that can assume values between x-1 and x-4 has a density function…

A: Given: A continuous random variable X assumes values between x=1 and x=4. It has a density function…

Q: if the odds of winning on a scratch off lottery ticket are 11:696 what is the probability of…

A: We have given the odds of winning on a scratch  of lottery  ticket are 11: 696 we have to find out…

Q: a) Determine the probability that the next charge will last less than 1.6 hours. b) Determine the…

A: It is given that the average time a fully charged​ 6-volt laptop battery will operate a computer is…

Q: At a meeting of the board of directors for a manufacturing company, one of the regional managers put…

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Q: Suppose the proportion X of surface area in a randomly selected quadrat that is covered by a certain…

A:

Q: Let

A: The numbers on a die are 1,2,3,4,5 and 6. Two dice are rolled so possible outcomes that have sum…

Q: Suppose that E and F are two events and that P(E)=0.5 and P(FIE) = 0.6. What is P(E and F)? P(E and…

A: GiveP(E)=0.5P(F|E)=0.6

Q: An insurance company wishes to keep the error rates in medical claims at or below 5%. If there is…

A: Given information: An insurance company wishes to keep the error rates in medical claims at or below…

Q: The length of time of calls made to a support helpline follows an exponential distribution with an…

A: As per our guidelines we are supposed to answer only 3 subparts of any questions so i am solving…

Q: Part d, e, f

A: Given that  Probability mass function of X is  x 0 1 2 3 4 f(x)= P(X=x) 0.3 0.1 ? 0.2 0.3…

Q: a. If the Asian project is not successful, what is the probability that the European project is also…

A: It is given that  P(A) = 0.40,     P(A’) = 1 - P(A) = 0.60 P(B) = 0.70,     P(B’) = 1 - 0.70 = 0.30

Q: The price of a condominium is $140,000. The bank requires a 5% down payment and one point at the…

A: Nnnnnnh

Q: A lightbulb manufacturer ships large consignments of lightbulbs to big industrial users. The…

A: We have,Prior probability the process functioning correctly P(C)= 0.90 Prior probability it is not…

Q: (5) A discrete random variable X has the probability mass function f(x) = c(x + 1)², x=-1,0, 1. You…

A:

Q: Consider a random experiment with a sample space. Suppose that we know: where c is a constant…

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Q: In a study of pain relievers, 50 people were given product A, and all but 15 experienced relief. In…

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Q: SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.…

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Q: 2) 30 people (Eva, Ali, Bertil,....) will (randomly) go to stand in a line. What is the probability…

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Q: K Among 8345 cases of heart pacemaker malfunctions, 493 were found to be caused by firmware, which…

A: Given X=493 n=8345

Q: (b) Find P(Y ≥ 8). (Round your answer to four decimal places.) Find P(X ≤ 5, Y ≤ 7). (Round your…

A: Given that  Joint pdf of X and Y is  f(x,y) = 0.1e-(0.5x+0.2y) , x > 0 , y > 0

Q: A jar of jellybeans has three different colors of jellybeans:  green,  red, and yellow. Let’s use…

A: Given A jar of Jellybeans g Green r Red y Yellow Choosing 4 Jellybeans from the Jar The…

Q: he depth to which a pile can be driven without hitting the rock stratum is denoted as H (see figure…

A: Given: H follows log-normal distribution mean=30 ft coefficient of variation=20%

Q: (a) What is the probability that a fair coin lands tails up eight times in a row? (b) Suppose you're…

A: As per our guidelines, we can solve only first one question. Please post the remaining questions…

Q: (D) If the student is an Arts & Sciences major, what is the probability that the student is from…

A: Formula for conditional probability  P(A | B) = P(A and B) / P(B)

Q: You randomly select one card from a 52-card deck. Find the probability of selecting a red five or a…

A: Here we have given you randomly select one card from 52 cards. We have to find probability of…

Q: What function in R would I use to solve these? I've tried both dnorm and pnorm but don't get the…

A: a) From the results of Part (a), the obtained z value is -3.75.

Q: A boiler has five identical relief valves. The probability that any particular valve will open on…

A:

Q: There are 3 sets of balls numbered 1 through 6 placed in a bowl. If 3 balls are randomly chosen…

A: We have given that There are 3 sets of balls numbered 1 through 6 placed in a bowl If 3 balls are…

Q: Parts d,e, and f?

A: Given: Short-Sleeved Size Plaid Print Stripe S .04 .02 .05 M .08 .07 .12 L .03 .07 .08…

Q: 4. Suppose that you buy a lottery ticket containing k distinct numbers from among {1,2,...,n} where…

A: Please note that as per our guidelines if multiple questions are posted we can answer the first…

Q: A test consists of 10 multiple choice questions with four choices for each question. As an…

A: 12) From the given information, the number of choices for each of the question is 4

Q: You arrive at a bus stop to wait for a bus that comes by once every 30 minutes. You don't know what…

A: Given,A random variable X~U(0 , 30)f(x)=130   ;   0≤X≤30

Q: How many ways are there to select the 5-person committee such that exactly 3 local business owners…

A: It is given that Total persons = 20 Number of homeowners = 11 Number of local businesses owners = 20…

Q: am pulling one red ball out of one of three baskets. R= Red ball, B= Basket The chance I pull…

A: Given that, the chance I pull from the three baskets is the same. P(B1)=P(B2)=P(B3)= 0.33 The…

Q: A continuous random variable X that can assume value between x-2 and x-5 has a density function…

A: For the given density function Find the probabilities

Q: You are forming an 9-member swim team from 13 girls and 16 boys. The team must consist of five boys…

A: We have given that that 9-member swim team from 13 girls and 16 boys  The team must consist of five…

Q: The table shows the educational attainment of a population, expressed in millions. Find the odds in…

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Q: (3) Let P be True, Q be True, R. be False and S be False, evaluate the truth value of the following…

A: Truth table is a type of mathematical table based on the logic statement. It has various expressions…

Q: In a certain municipality, 70% of all residents are at risk of heart disease.  If researchers…

A: Givenp=0.70sample size(n)=16Let "x" be the no.of residents who are at risk of heart…

Q: Write down the negation of the following statement: Every duck has at least three white feathers.

A: We know that if a sentence is denoted by 'P' then it's negation is denoted by ~P

Q: Suppose the number of earthquakes occurring in an area approximately follows a Poisson distribution…

A: Given that λ =2 Using Poisson distribution

Q: In a study of the relationship between health risk and income, a large group of people living in…

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

Q: B C 3,3,3,3,3,6 2,2,2,5,5,5 1,4,4,4,4,4 1) Suppose you roll die A and your friend rolls die B. Find…

A: Given Die A = 3,3,3,3,3,6 Die B = 2,2,2,5,5,5 Die C = 1,4,4,4,4,4

Q: E and F mutually exclusive events. P(E) = 0.4; P(F) = 0.5. Find P(E|F)

A: We have given that  E and F mutually exclusive events and P(E) = 0.4 , P(F) = 0.5 We have to find…

Q: question asked "You select an employee at random from this population of hourly workers. What is the…

A: Given that    Female  Male Total Full time  1030 246 1276 Part time 411 58 469 Total 1441…

Q: Consider example 9.2a. If p < 1/2, will it change the derivation of α? Answer: Yes/No.

A: Given Information: Consider the given example 9.2a

Q: An article reported data from a study in which both a baseline gasoline mixture and a reformulated…

A: Given data: Engine Age Baseline Reformulated 1 0 1.73 1.87 2 0 4.36 5.93 3 2 4.06 5.52 4…

Q: Consider three basketball players: Anna, Beth, and Carolyn. The probability that Anna will make a…

A:

Q: (a) In a random sample of 186 children taken more than a decade ago, what is the probability that 50…

A: a) n=186 More than a decade ago, high levels of lead in the blood put 83% of children at risk. Let X…