a) It has been noted that 30 percent of the cars parked in a particular car park will be Toyota models. If 12 of the cars in the car park are randomly chosen, what is the probability that 2 to 5 cars will be Toyota models?

Q: C1. A collector wants to collect football stickers to fill an album. There are n unique stickers to…

A: (a) From the given information, In the given situation, the random variable is the number of extra…

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A: Z is known as standard normal variable. it's value is obtained using standard Normal table.

Q: 13. Let X₁, X2,... be i.i.d. r.v.'s with finite expectation and finite variance o², and let X = L²…

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Q: Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be…

A: Permutation is an arrangement of the objects. It is often used in probability theory. According to…

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A: given data, a single card  is selected at randomly ,a single card is selected from a standard deck ,…

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A: It is given that  Mean, μ = 102 Standard deviation, σ = 16 Z-Score, Z = ( X - μ )/σ

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A: We have given that,  The data set are :- Data (x)  frequency (f)  45 2 46 4 47 2 48 3…

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A: GivenMean(μ)=7540standard deviation(σ)=1245sample size(n)=9

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A: We have, Euler path: It goes through every edge of a graph exactly once.  Euler circuit: It is an…

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A: Given There are sppiner with 12 equal areas

Q: b. Construct the confidence interval suitable for testing the claim in part (a). |<₁-1₂ | (Round to…

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Q: bers {1, 3, 6, …}

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Q: 9. Represent the following relations on A = {1, 2, 3, 4, 5, 6} using a matrix and a digraph. (a) R =…

A: Given that ,  A = { 1,2,3,4,5,6}

Q: such a way that all men are next together and all women are next together? (a) How many ways are…

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A: The sample sizes are 34 and 31, respectively.

Q: friends

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Q: i. A valid probability density function satisfies 0 ≤ fx(x) ≤ 1

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Q: 5. Suppose you repeatedly toss a fair coin. (a) What is the probability of flipping two heads in a…

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Q: A machine that fills bottles with an un-named refreshing beverage is set up so that it dispenses…

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A: Note- Giving solution for option B only, because part a is already solved.

Q: 3. Repeated measurements are made of the age (based on Carbon 14 content) of a fossil. The average…

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Q: 4. A random survey was conducted in order to determine whether the recent campaign to pro- mote…

A: Given information: n = 200 x = 160 PRecycled the newspaper=70%=70100=0.70

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A: Binomial probability distribution has utilized.

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Q: A shipment contains 8 igneous, 6 sedimentary, and 6 metamorphic rocks. ... If 5 rocks are selected…

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A: given data μ1 = 20 minμ2 = 30 minμ3 = 15 minσ1 = 2 minσ2 = 1  minσ3 = 1.3 minP( total time &lt;1…

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A: We have given that Number of yellow balls = 6 Number of blue balls = 9 Number of orange balls = 4…

Q: Based on an analysis of sample data, an article proposed the pdf f(x) = 0.65e-0.65(x - 1) when x ≥ 1…

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Q: 6. In a binomial experiment with n = 3 show that P(X = 10 X = 2) = 3pq. Remember that q = 1 - p.

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Q: Let Z be a discrete random variable with E(Z) =0. Does it necessarily follow that EC 7³ ) = 0 ? If…

A: Given that Z is a discrete random variable with E(Z)=0. It does not necessarily follow that E(Z3)=0.…

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A: GIVEN DATA μ = 2.33σ = 0.44n = 6find sampling distribution

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Q: 1. Briefly answer the following questions. (a) Suppose that a commonly-used sleeping pill makes 70%…

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Q: A shipment contains 13 igneous, 11 sedimentary, and 11 metamorphic rocks. If 7 rocks are selected at…

A: Here A shipment contains 13 igneous, 11 sedimentary, and 11 metamorphic rocks.  Then, total rocks=…

Q: 2 You are given a bag of jelly beans. There are 7 red, 8 blue, 4 yellow, and 10 pink. Find the beans…

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Q: (b) What is the probability that chloride concentration differs from the mean by more than 1…

A: It is given that  Mean, μ = 107 Standard deviation, σ = 5 Z-Score, Z = ( X - μ )/σ

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A: Given that, Sample size (n) = 240  Mean = 4.4  Standard deviation = 2.9

Q: Given a normal distribution with n = 26, µ = 30 and σ = 6 Find a. b. C. The value of x that has 80%…

A: Givenn=26μ=30σ=6