Let us say we have sets/events A, B, and C (do not assume independence). Show that P(A \ B \ C) = P(A|B \ C)P(B|C)P(C)

Q: Which of the following are categorical (or qualitative) variables in these records? Student Age…

A: Categorical data: The data that consists of the attributes that has different categories, names or…

Q: A basketball player has made 80% of his foul shots during the season. Assuming the shots are…

A: Given The probability of foul shots during the season, p=0.8

Q: Consider the data set given in the accompanying table     Construct a frequency marginal…

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Q: 785?module_item_id=965498 You do a study of hypnotherapy to determine how effective it is in…

A: It is given that  The 95% confidence interval is  C.I. = ( 7.60, 8.50 )

Q: There are 11 chairs in a row. In how many ways can Joy, Jaymee, Josie, Joan, and Jenny be seated? O…

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Q: 2. The following Table presents the joint probability distribution for two random variables X and Y.…

A: Solution-: We have following table:   Y=1 Y=2 X=1 1c 4c X=2 3c 2c We want to find,…

Q: For -1.5 > Z < 1, the probability is

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Q: Here is a typical statement made by the media: "Based on a recent study, pennies weigh an average of…

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Q: A manufacturing machine has a 5% defect rate. If 9 items are chosen at random, what is the…

A: Given that Sample size =9 Probability of defect rate =0.05  We have to find Probability that atleast…

Q: If a continuous random variable, X, follows a normal distribution with a mean of O and variance 4,…

A: The question is about normal distribution Introduction : Empirical rule : 1 ) Approximately  68 % of…

Q: A study of fuel economy for various automobiles plotted the fuel consumption vs. speed. A LSRL was…

A: The residual is essentially defined as the measured difference between the predicted value and the…

Q: 11,954 tosses of the pig die, the pig landed on its back 2677 times. We will construct a 95%…

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Q: **** A local charity holds a carnival to raise money. In one activity, participants make a $3…

A: Value of spin (x) 0 1 2 5 10 Probability P(x) 0.4 0.2 0.2 0.1 0.1

Q: default (not repay). The bank currently has 250 loans outstanding. (a) In order to use a binomial…

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Q: The lengths, in inches, of adult corn snakes have an unknown distribution with a population mean of…

A: Given that  Sample size n =70 population mean of 62 inches and a population standard deviation of 9…

Q: Suppose that the number of minutes it takes Aaliyah to get from her home to work is approximately…

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Q: Fill in the Table to 3 decimal places: Remember that za is the z-score for which a is the area under…

A: Given information: The given table is, Z0.1 Z0.05 Z0.025 Z0.01 Z0.005   Find: Find the right…

Q: Suppose you collect a SRS of size n from a population and from the data collected you computed a 95%…

A: given data  we take simple random sample of size n from population and construct 95% confidence…

Q: . Use the given information to find the number of degrees of​ freedom, the critical values χ2L and…

A: Given: n=21 s=65.5 90% confidence

Q: Choosing 5 marbles from a box of 40 marbles (20 purple, 12 red, and 8 green) one at a time without…

A: Following are some of the conditions for a binomial distribution: 1. Outcomes of each trial are…

Q: The accompanying data represent the miles per gallon of a random sample of cars with a…

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

Q: The FDA regulates that fish that are consumed should contain no more than 1.0 mg/kg of mercury. In…

A: Given information- We have given the data on the average mercury level in the lake.

Q: In the mining industry coal is transported from the mine to the plant using hopper rail cars. The…

A: given data normal distributionμ = 74σ = 0.48

Q: Exercise 8. Activities While Driving A survey of 1200 drivers showed the percentage of respon- dents…

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

Q: Standardized tests for certain subjects, given to high school students, are scored on a scale of 1…

A: x P(x) 1 0.18 2 0.20 3 0.26 4 0.21 5 0.15

Q: The scores of students in an exam follow approximately a symmetric bell-shaped distribution with a…

A: given data  normal distribution μ = 60σ = ?P(x&gt;80) = 2.5%use empirical ruleempirical rule :…

Q: Question 3 The following ACF plots were produced for raw data of monthly sales of two different…

A: Given the ACF plots were produced for row data of monthly sales of two different variables A and B.

Q: 4.4 The general manager of a large engineering firm wants to know whether the experience of techni-…

A: Given, Model 1 :  RATING^se=64.2892.422+0.9900.183EXPER   N=50   R2=0.3793 Model 2 :…

Q: 6. In how many ways 3 boys and 5 girls be arranged in a row so that all the 5 girls, are together?

A: Solution - total number of boys=3 Total number of girls=5

Q: Assume that adults have IQ scores that are normally distributed with a mean of 101.7 and a standard…

A: GivenMean(μ)=101.7standard deviation(σ)=16.8

Q: geometric mean of 1, 2, 4, and 10 is a. 4.0.   b. 2.99.   c. 17.0.   d. 4.25

A: Geometric mean,Harmonic mean : x log(x) 1 0 2 0.301 4 0.6021 10 1   ∑log(x)=1.9031

Q: n a survey of 1082people, 725 people said they voted in a recent presidential election. Given that…

A: From the provided information, Sample size (n) = 1082 64% of eligible voters actually did vote that…

Q: Find the grade point average. Assume that the grade point values are 4.0 for an A, 3.0 for a B, and…

A: Given Grade point value for A=4, Grade point value for B=3  Grade point value for C=2

Q: Reminder that for rolling a fair six-sided dice each side has Probability of rolling is 1/6 Consider…

A: It is given that the number of six’s rolled can be modeled as Binomial distribution i.e,  X ~ Bin(…

Q: Is there an association between party affiliation and​ gender? The accompanying data represent the…

A: Given the data that represents the gender and party affiliation of registered voters based on a…

Q: Medical School Applications A medical college dean read that the average number of applications a…

A: Given that  Sample size n =29 Sample mean=8.7 Population standard deviation =2.6

Q: 4- P(N> 3)?

A: Here given , Probability mass function of Discrete Random Variable . PN(n) = c/n  , n = 1,2,30…

Q: Imagine you are doing a Related-Samples t-test, and you are on Step Three of the hypothesis test.…

A: Data given sample of difference scores that you calculated is -2, -4, -3, +1

Q: The graph illustrates a normal distribution for the prices paid for a particular model of HD…

A: As per our guidelines we are suppose to answer only three sub parts. Given,mean(μ)=1800standard…

Q: According to a recent survey, 87% of students say that they do not get enough sleep. Assume the…

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Q: A golf ball is selected at random from a golf bag. If the golf bag contains 8 type A balls, 5 type B…

A: given data,8-type A balls 5- type b balls 7- type c balls =20  total balls

Q: The boxplot below shows salaries for CPAS and Actuaries in a town. CPA Actuary 30 40 50 60 70 80 90…

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Q: Find the area under the standard normal distribution curve between  =z −2.00  and  =z 1.31

A: given data, STANDARD NORMAL DISTRIBUTION  for standard normal curve x~N(0,1)here μ=0σ=1we have to…

Q: The owner of a local movie theater keeps track of the number of tickets sold in each purchase and…

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Q: Give the​ five-number summary and draw a boxplot for each set. Give the​ five-number summary for…

A: It is given that the data set is 9,9,9,9,9,9,9 Here, n = 7 is odd.

Q: Question 30 After one year, out of 500 households in barangay Lalakbay, Mr.Alco discovered that the…

A: Given Information: Out of n=500 households, x=400 households use air condition units. Margin of…

Q: Suppose that a certain call center that handles inbound and outbound calls from the clients of a…

A: given data  λ = 8 per hourx = no. of calls in t hour P(x=X) = e-λt(λt)xx!________poisson…

Q: A sample of 9 sales prices of homes within the Lima area was collected and displayed in the table…

A: The data shows the 9 sales prices of homes within the Lima area.

Q: The table gives the total population of the world from 1950 and projected to 2050. Complete parts…

A: Given that x=number of years after 1940. Y=world population Let x=10 for 1950, x=20 for…

Q: Given that Practice q 88. 129 s² = 100, s²=81, Σ(x − x)(y- y) = 480 and n=8, the slope of the…

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