Q.3 Use Monte Carlo method to simulate the roll of two dices. Find the probability of the sum of two faces to be 6 or less. The following table give 10 trials by using excel. Dice 2 NO. Dice 1 3 4 Total 7 +50-67 3 2 2 1 5 6 008 3 5 6 11 1 5 6 5 oved 6 6 3 9 7 2 3 5 01667 8 6 10 4 1 6 7 4 9 5 9 10

Q: opose that at each birth, having a girl is not as likely as having a boy. The probability…

A: Given that  Probability distribution.  X 0 1 2 3 P(x) 0.10 0.35 0.37 0.18

Q: A coin comes up heads with probability p and tails with probability q = 1 - p. For the moment,…

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

Q: like no matter how strange an event is, someone wants to know the probability that it will occur.…

A: Probability  Events are organised in ascending order i.e. least likely to most likely.

Q: There were 254.8 per 100,000 per year Myocardial deaths in the aspirin group compared with 439.7 per…

A: Given:Aspirin group myocadial deaths per 100,000 year =254.8Placebo group myocadial deaths per…

Q: Find the number of different ways that an instructor can choose 4 students from a class of 18…

A: Combination:   It is nothing but the selection of objects where the order of selection is not…

Q: Consider a continuous random variable X with the probability density function (pdf) x 0< x≤2 fx(x) =…

A: a) The value of c is obtained below: ∫02fxdx=1∫02cxx2+1dx=1c*12lnx2+102=1c*12ln5=1            c=2ln5

Q: The table shows the probability distribution of siblings of students in a high school with 1500…

A: Formula : E(x)  = Σx * p(x)

Q: Memory less property of Geometric distribution express as P(Y>s+t|Y>t)=P(Y>s); s,t≥0. O True False O

A: In the given problem memory less property of Geometric distribution express as  P ( Y &gt; s + t | Y…

Q: A nature reserve has one bird of an uncommon species which frequents the large expanse of reed beds…

A:

Q: 5. Consider an experiment in which a fair coin is tossed 3 times, and let X be the number of heads…

A: Hello! As you have posted 2 different questions, we are answering the first question with 3 parts.…

Q: 4. Senate Partisanship The composition of the Senate of the 111th Congress is 41 Republicans 2…

A: Given that 41 Republic , 2 independent , 57 Democrats Total =100 * P ( all republic ) = ? * P ( all…

Q: Q4/ If the semester average: for the first semester = 8, for the second semester = 7, for the third…

A: It is given that Mean(semester 1) = 8 Mean(semester 2) = 7 Mean(semester 3) = 3

Q: Avicenna, a major insurance company, offers five-year life insurance policies to 65-year-olds. If…

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Q: Let random variables X₁ and X₂ be uncorrelated and each distributed according to fx(x) = { 0≤x≤T,…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: Ex9: Let X be a continuous uniform distribution over the interval [2.4; 5.2]. Find the mean and…

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Q: A soccer team is acquiring a player via transfer from another team. The player's quality is given by…

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Q: In humans, red-green colorblindness is a recessive sex-linked characteristic. If a woman of normal…

A: Given that, A woman of normal vision whose father was color blind marries a man of normal vision.…

Q: (15) A powerful detector measures the frequency of radiation over virtually the entire…

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Q: 2. You have created a 6-digit password for your computer. Your brother tries to break in to your…

A: Given that you have created a 6-digit password for your computer. Your brother tries to break in to…

Q: John Michael buys a bag of cookies that contains 8 chocolate chip cookies, 8 peanut butter cookies,…

A: The total number of cookies is  8×4 =32. The total number of sugar cookies is 8. The total number of…

Q: When a meteorologist says that there is a 30% chance of showers, what type of probability is the…

A: Given that  Based on the given data

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Q: A club with SU college students is doing volunteer work this semester. Each student is volunteering…

A: Since a club has 50 students and out of 14 students are a volunteer in the Soup kitchens, 12…

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Q: We roll a fair die twice. Describe a sample space Ω and a probability measure P to model this…

A: if we roll a fair die twice than the possible outcomes…

Q: For which sample size (n) and sample proportion (6) can a normal curve be used to approximate the…

A: Answer :- Find  for which sample size (n)  and sample proportion (P^)  can a normal…

Q: Solve the following Step 1: Range Step 2: Number of Class Intervals Step 3:Class size Tally Class…

A: Frequency is the number of times an event occurred. Range is calculated by subtracting the maximum…

Q: Answer all the questions. Super thanks! 1. From the counting numbers 1 to 20, in how many ways…

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Q: An extraneous variable that might affect a study of car sales versus income is O al currency…

A: Option (a) is the correct answer

Q: Ex7: Suppose that X has an exponential distribution with λ = 2. Determine the following: a/ P(X ≤0)…

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Q: 4. Assume Z=X²+1 where the CDF of X, Fx(x), is defined as [0, (a) Find Fz(z). Fx(x) = {x², x < 0…

A: Given that, Z = X2 + 1

Q: A civil engineer is analyzing the compressive strength of concrete. Compressive strength is normally…

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Q: Column A 1. Find the Probability of rolling a fair die having a composite number. 2. When you roll a…

A: HERE WE WILL USE BASIC PROBAB;IY CONCEPT  PROBABILITY =NO OF FAVOURABLE OUTCOMETOTAL NO OF OUTCOME

Q: (a) Find the expected value of playing the game. dollars (b) What can Isabel expect in the long run,…

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Q: b. Hydraulic landing assemblies coming from an aircraft rework facility are each inspected for…

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Q: Let A be the smallest field over the л-system P. Use the inclusion-exclusion formula (2.2) to show…

A: Given:A be the smallest field over the π- system P.

Q: Use the following information to answer the next question. A committee of 3 people is to be randomly…

A: Probability is calculated using the favorable cases and the total number of cases. Probability takes…

Q: If x G(5,4), then 2X Y = ~ 4

A: Solution

Q: Jen is planning a vacation. To help her choose a hotel, she looks at some reviews. The table shows…

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Q: ccording to the actual census data, in 12.6 percent of counties, there percentage of residents 65…

A: Given that, In 12.6 percent of the counties the proportion of residents who are 65 years and older…

Q: 2. The probability that both will catch the bus within 15 minutes, given they are still waiting…

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Q: The number of flaws in bolts of cloth in textile manufacturing is assumed to be Poisson distributed…

A: Since X has a poission distribution, The probability of  x flows occurring would be…

Q: What are the descriptive methods in assessing normality? Explain each method.

A: Normality test: This test is applied to assess normality of data sets. Normality of a data set is an…

Q: A test was given to a group of students. The grades and gender are summarized below   A B C Total…

A: Given data is   A B C Total Male 7 5 8 20 Female 16 19 10 45 Total 23 24 18 65

Q: ution to d please

A: There are 2 Players A B The dice have 4 faces {1, 2, 3, and 4} All the outcomes are having…

Q: Use n=6 and p = 0.6 to complete parts (a) through (d) below. (a) Construct a binomial probability…

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: 24. The probability that a river flow exceeds 2000 m3/sec is 15%. The coefficient of variation of…

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Q: Q9] Of a lot of 10 items, 2 are defective. (a) Find the number of different samples of 4. Find the…

A: Given : Number of items =10 Defective items =2 Non-defective =10-2=8     Note :As per guidelines…

Q: fx(x) = 0≤x 10 a. Sketch fx(x) b. Show that fx (x) is legitimate c. What is the probbility that…

A: