Example 16. Calculate the lower and upper quartile, 3rd decile from the following data. Central Value 7.5 12.5 Frequency 18 25 2.5 7 17.5 30 22.5 20

Q: 1. You are given P[AU B] = 0.7 and P[A U B'] = 0.9. Calculate P[A].

A: Given P(AUB)=0.70, P(AUB')=0.90  P(A)=?

Q: The lifespans of six machines A 92 86 61 70 58 65 is 71? components made by O a. false b. true

A: We have given that Lifespans of six component of machine A are 92, 86, 61,70, 58, 65 is 71

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) =…

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A: We have to find R code for given problem :

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A: given data,a basket contain 4 pink clips                              6 purple clips…

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Q: Let events A and B and sample space S be defined as the following intervals: S = {x: -1 ≤ x ≤ 12} A…

A:

Q: Use the basic probability principle to solve the following problem. Express each probability as a…

A: Given that  A 12 sided die is rolled  Sample space = S = ( 1 ,2 ,3 ,4 ,5 ,6 ,7 ,8 ,9 ,10 ,11 ,12 )…

Q: 5. The remaining lifetimes T, and T₂ of a married couple have joint density function f(t₁,1₂)=<…

A: Farmula used V(T)=E(T2)-(E(T))2

Q: 4. Suppose that X and Y are random variables having the joint probability distribution Y 2 1 - 3 5…

A: Given,   X=2 X=4 Total Y=1 0.15 0.10 0.25 Y=3 0.25 0.25 0.5 Y=5 0.15 0.10 0.25 Total 0.55…

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Q: In how many ways can we select 5 people out of ?10, of which a particular person is not included 965…

A: Given, there are 10 people and 5 are selected.but a particular person is not included.

Q: 6) You ask your friend to randomly write down a 5 digit number. What is the probability that he…

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Q: Let X be a discrete random variable that takes on the values 2, 3, 4, 5, 6, 7 with respective…

A: X 2 3 4 5 6 7 P(x) 0.15 0.10 0.20 0.20 0.20 0.15

Q: In how many ways can we select 5 people out of ?10, of which a particular person is not included 9C5…

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Q: The data show the daily high temperature in a town every day for a week. Mon Tue Wed Thu Fri Sat Sun…

A: Given that  Mon Tue Wed Thu Fri Sat Sun 76°F 78°F 81°F 74°F 69°F 69°F 70°F

Q: In how many ways can we select 5 people out of ?10, of which a particular person is not included 9C5…

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Q: tain brand of upright freezer is available in three different rated capacities: 16 ft3, 18 ft3, and…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: Problem 8: The Rayleigh density of random variable X is fx(x) = (x - a)e 0 b if x ≥ a if x <a a.…

A: Given in this question that, the rayleigh density of a random variable X is ,…

Q: machine consists of two components: A and B. The machine needs both components to operate. As soon…

A: Given that, A machine consists of two components: A and B. The machine needs both components to…

Q: (a) How many four-element DNA chains are possible? DNA chains (b) How many n-element DNA chains are…

A: 4 Possible bases: Thymine Cytosine Adenine Guanine

Q: A computer consulting firm presently has bids out on three projects. Let A, = {awarded project /},…

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

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Q: A standard quality check found that out of 200 light globes, 6 had a defect. (i) If the sample…

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Q: A random variable, z, has p.d.f. f (z) = e², 0 =< z <1. Calculate the expected value of z.

A:

Q: Based on a study of 2,155 children between the ages of one and four, researchers at a certain…

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Q: A manufacturing firm finds that 80% of its new hires turn out to be good workers and 20% become poor…

A:

Q: (b) You have three, six-sided die that you use to create a geometric series by randomly throwing the…

A: Sum of infinite geometric series = a1-r where a is the first term and r is the common ratio.

Q: During one year, a particular mutual fund outperformed the S&P 500 index 41 out of 52 weeks. Find…

A: Given that: A particular mutual fund outperformed the S&amp;P 500 index 41 out of 52 weeks.

Q: License plates consist of 3 letters followed by a 3-digit whole number. How many different license…

A: Given:   Length of license plate number  = 6 n(letters chosen) = 3 n(numbers chosen) = 3 n(total…

Q: Data collected at an airport suggests that an exponential distribution with mean value 2.815 hours…

A: given data  exponential distribution μ = 2.815 hours λ = 12.815 per hourσ = μ = 2.815P(x&gt;X) =…

Q: for the binary system if the entropy =0.9710, so the probabilities are:

A:

Q: c. at least 1 but no more than 5 will malfunction. d. What is the expected number of sensors that…

A: given data p(malfunction )=p=0.10 n=12 x=No. of sensors malfunction p(x=X) = nxC px qn-x      -…

Q: tic for Tokyo-London undersea cable. On January 21, 2010 The Seattle Times carried an Associated…

A: Here, it is given to us that after connecting London and Tokyo by an underwater cable, it takes 88…

Q: In how many ways can we select 5 people out of ?10, of which a particular person is not included 965…

A:

Q: Amy tosses a fair seven-sided die 4 times.  What is the probab

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A: Note: As per the guidelines only three sub-parts can be answered. Kindly, repost for other parts.

Q: Classify each of the following as nominal, ordinal, interval, or ratio data (adapted from [Black…

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A: Given Cdf  F(X)=1-e-2x if x≥0

Q: The mean height of American men between 20 and 29 years old is 69 inches, and the standard deviation…

A: Given: Mean(μ)=69 inchesstandard deviation(σ)=3 inchesx =6 feet or more    =6×12    =72 inches or…

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