Use the fact that the mean of a geometric distribution is μ=1p and the variance is σ2=qp2.   A daily number lottery chooses three balls numbered 0 to 9. The probability of winning the lottery is 11000. Let x be the number of times you play the lottery before winning the first time. ​(a) Find the​ mean, variance, and standard deviation.​ (b) How many times would you expect to have to play the lottery before​ winning? It costs​ $1 to play and winners are paid ​$400. Would you expect to make or lose money playing this​ lottery? Explain.

Q: Q2 – For the data in table (1). - 1- Draw the frequency distribution diagram. 2 - Find the class…

A:

Q: random variable x represents the number of credit cards that adults have along with the…

A: Let X be the random variable having probability mass function is, XP(X) 00.0710.6820.2130.0340.01

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A: From the provided information, The probability distribution table is as follow: X P (X) 0 0.130…

Q: Calculate the mean, variance, and standard deviation of this probability distribution. (Show all…

A: Mean=E(X)=∑X P(X)          =(0 * 0.27)+(1 * 0.35)+(2 * 0.18)+(3 * 0.12)                +(4 *…

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A:

Q: The mean of a binomial distribution is 3 and variance is 3/2. Find the ility of (i) 0 success (ii) 2…

A: 5 Mean of binomial distribution is 3 Variance=3/2 That is, np=3np(1-p)=323(1-p)=321-p=12     p=12…

Q: 10. A study has shown 38% of adults have purchased a product online. A random sample of 250 adults…

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Q: and let Consider a random variable X with the following distribution r 13 4 7 8 P(X=x) 0.2 0.25 0.1…

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A: here given discrete probability distribution of  X=number of android phones

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A: Given data isMean(μ)=53

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A: The probability for a trial: P(s)=0.47 Let x=no. of success in 12 tries n=12 This problem satisfies…

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A: It is given that Jessica hypothesizes that giraffes will look longer at human infants than at adults…

Q: Find the variance of a binomial distribution when p = 73% and n = 205. (

A: Note :- Variance=np(1-p) in our question Given that p=73%=.73 And n=205 So

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A: From the provided information, Mean (µ) =29 Standard deviation (σ) = 21 Sample size (n) = 307 For…

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A: mean=μ=E(X)

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A: Solution: Note: Hello! As you have posted more than 3 sub parts, we are answering the first 3…

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Q: (a) Find the​ mean, variance, and standard deviation.​ (b) How many times would you expect to have…

A: Let X be the random variable the number of times you play the lottery before winning the first…

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A: Given data, n=8 p=0.3

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A: Given See the handwritten solution

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Q: e table below, find the variance ans the standard deviation of the retur Probability Return (%) 0.2…

A: The mean is calculated as: μ=∑x·p(x)=2×0.2+6×0.5+8×0.3=5.8

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Q: Find the variance for the binomial distribution, P=0.87 and n= 32

A: Answer: From the given data, P = 0.87 n = 32 X follows binomial distribution (n,p)

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.