Suppose that a 7% discount is independently applied to Web orders for clothing with probability 0.225. (a) What is the probability that the first discount is applied to the fifth order? Round your answer to three decimal places (e.g. 98.765). P = i (b) What is the probability that at least one order in the next five receives the discount? Round your answer to three decimal places (e.g. 98.765). P = i

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

A: From the provided information, P (A) = 0.59 P (B) = 0.46 And P (A Ո B) = 0.28

Q: Yоu hаvе а sеt оf tеո fаіr 6-sіԁеԁ ԁісе. Еасh оf thеsе ԁісе hаs 3 rеԁ fасеs, 2 bluе fасеs, аոԁ 1…

A: Let R represents red, B represents blue and G represents green colour.  We've 10 fair dice. n= 10…

Q: A company owns 40 factories throughout the country. The number of serious injuries in a calendar…

A: Introduction: Denote X as the number of serious injuries in the next calendar year in a randomly…

Q: Problem 3 Suppose you are customising a character in your favourite video game, and the character…

A: Note: As per guidelines we will solve the first question only, please repost other questions for…

Q: c) Let Ô₁ = X₁+2X₂+2X3-X4 one of the two estimators is more efficient? and Ô₂ = (X₁ + X₂ + X3 + X4)…

A: The given pdf of is Poisson distribution with parameter θ. Then E(Xi) = θ = Var(Xi)

Q: ignment Saved to this PC V n Layout References United States Search (Alt+Q) Mailings Review Don't…

A:

Q: world price determined after trade? • How do you demonstrate gains from trade? • What are the key…

A: The Heckscher-Ohlin model incorporates a number of realistic characteristics of production from the…

Q: Imagine you are a genetic counselor and a married couple comes to you for help. Both Bob and Mary…

A: Giventhe probability that bob has Aa is =12 the probability that Mary has Aa is =23 For their child…

Q: If P(A)= 0.7 and P( B)= 0.6, find P (AUB) if: A and B are where Be is complement of B (not B)…

A:

Q: Samples of rejuvenated mitochondria are mutated (defective) in 2% of cases. Suppose 13 samples are…

A: Given Information: Samples of rejuvenated mitochondria are mutated in 2% of cases. That is, p=0.02…

Q: You are given the chance to play one of two games: One where there is a 20% chance of you winning 8…

A:

Q: Consider two securities, the first having μ1 = 1 and σ1 = 0.1, and the second having μ2 = 0.8 and σ2…

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

Q: Customers arrive at a suburban ticket outlet at the rate of 14 per hour on Monday mornings. This can…

A: Given that Arrival rate =14 hour per hour  Service rate =3 minutes Then we have to find determine…

Q: 8. In a recent poll, 23% of the respondents supported candidates A, 19% supported candidate B. 12%…

A: Given: P(A) = 0.23 P(B) = 0.19 P(C) = 0.13 P(undecided) = 0.45 n(total) = 7 n(A) = 2 n(B) = 2 n(C) =…

Q: 3. Suppose that the number of insurance claims, N, filed in a year is Poisson distributed with E(N)…

A:

Q: 1. An instrument is used to measure very small concentrations, X, of a certain chemical in soil…

A:

Q: (a) Calculate P(X= 4) and P(X ≤ 4). (Round your answers to four decimal places.) P(X= 4) = 2 X P(X ≤…

A: From given data we have ; the number of success is the population K=8 N=12 size of the population…

Q: 18. A spinner has ten sectors in different colours. The sectors are different sizes. Here are the…

A: The probability distribution is given as:

Q: t an uncontrolled T- junction, it is seen that on an average, 2 vehicles turn to the right in each…

A: Given: Average number of vehicles in 120 seconds λ=2 Let X be the number of vehicles arriving in 120…

Q: 7) The probability that Jack scores in a game is 4 times the probability that he will not score.…

A: 7) It is given that Jack scores in a game is 4 times the probability that he will not score.

Q: (d) What is the probability that a player contests 4 or more opponents in a game? Round your answer…

A: Given Information: The probability of defeating each opponent is 0.80 Success with any opponent is…

Q: In a very delicate operation, the only chance of survival is 80 percent. Find the probability that…

A: 90% of 10 patients is X= 90*10/100 = 9 X= 9  We've to find the probability that exactly 9 patients…

Q: tossed three times. An outcome is represented by a string of the sort HTT (meaning a head on the…

A: Given: A coin is tossed three times. The total possible outcomes when a coin is tossed 3 times is…

Q: The probability that an entering college student will graduate is 0.4. Determine the probability…

A: From the provided information, Sample size (n) = 5 Probability that an entering college student will…

Q: A brand name has a 70% recognition rate. If the owner of the brand wants to verify that rate by…

A: The given sample size is 10 and probability of success is 0.70.

Q: This is a simplified inventory problem. Suppose that it costs c dollars to stock an item and that…

A: Let n be the number of times stocked. Let K be the number of times that will be asked for by…

Q: A function randomly generates 4-digit decimal numbers in the range of 0000 to 9999 (all have the…

A: Finding all 4 digit numbers- Since 0 cannot be the first digit, therefore we can have…

Q: Customers arrive at a video rental desk at the rate of 9 per minute(Poisson). Each server can handle…

A: Given: Arrival rate, λ = 9 customers per minute. Service rate, μ = 3.001 customers per minute Number…

Q: Twelve luxury cars (4 VW, 4 BMW and 4 Mercedes Benz) are booked by their owners for service at a…

A: We know that 4 cars can be serviced by the mechanic in 4! ways, but here we have 12 cars of which 4…

Q: 1) Dan bought a box with 120 USB drives for his company. The defect rate for this USB drives brand…

A:

Q: 6.2 Let T denote the duration of a waiting time in a service system, measured in seconds. Suppose T…

A:

Q: 12. For a certain random variable (RV) X the DF F is given by if x ≤ 1 if 1 3 (i) Find the value of…

A: Summing the probability values of the probability density function leads to cumulative density…

Q: tes 4-digit decimal numbers in the range of 0000 to 9999 (all have the same chance)   What is the…

A: 4 digit decimal numbers 0000 to 9999 Sum of the number should be divisible by 5

Q: Suppose that the time until failure of a certain device has an exponential distribution. If the mean…

A: given data  mean time until failure of device  = μ = 25000 hours…

Q: Show that for any e > 0 and S, 1X₁, lim P(|S₁-81 ≥ 2) = 0. y'a 3140

A: We will use Chebychev's inequality to find the required limit of probability.

Q: 7. Suppose that P (X≥ x) is given for a RV X (of the contineous type) for all x. Find the PDF in…

A:

Q: 4) The following two independent spinners were spun simultaneously 13 times. What is the probability…

A:

Q: Inductive reasoning is the process?

A: Concept: Reasoning is of two types 1) inductive Reasoning 2)deductive Reasoning

Q: Now, suppose that a child has already been born, and it does not have albinism. What is the…

A: Given information: Both Bob and Mary don't have albinism. Since they don't have albinism, therefore…

Q: K In a batch of 21 pedometers, 3 are believed to be defective. A quality-control engineer randomly…

A: As per our guidelines I can solve only one  Question. Post the remaining questions again and mention…

Q: Your answer is partially correct. batch of 401 containers for frozen orange juice contains 7 that…

A: Given that total 401 containers and batch of 7 are defective Good containers = 401-7 = 394…

Q: b. Find the probability that a randomly selected person at the hot springs stays longer then 60…

A: Given that  Mean = M = 62  Standard deviation = SD = 18 X ~ N( M = 62 , SD = 18 )

Q: 6. Calculate the probability of rolling anything but a 2 on an eight-sided dice. P ú Ti 78 110 116…

A:

Q: I have 8 hours to pick 30,000 tickets with 15 people picking 61 tickets an hour. How long will it…

A:

Q: Radar detection. If an aircraft is present in a certain area, a radar correctly registers its…

A: Given P(A) =0.05 P(B|A) =0.99 P(B |Ac ) =0.1 P(Ac) =1-P(A) =1-0.05 =0.95

Q: 7. One prominent physician claims that 70% of those with lung cancer are heavy smokers. If his…

A:

Q: a) Let X₁, X₂, X3, X30 be a random sample of size 30 from a population distributed with the…

A:

Q: 5. How many six digit numbers are there that start and end with a prime digit while the middle 4…

A:

Q: The Christmas bonus amounts for members of a certain credit union are normally distributed with a…

A:

Q: B. A manufacturing company is analyzing its accident record. The accidents fall into two categories:…

A: From the given information, the accident falls into two categories: Minor and majorAverage cost for…