The probability distribution of a random variable x is given. 3 4 0.4 0.2 Compute the mean, variance, and standard deviation of X. (Round your answers to two decimal places.) P(X = x) 0.3 0.1 mean 85 variance .02 standard deviation 12

Q: Q: Let X be a random variable with mean u and standard deviation o. Use the properties of the…

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Q: A population has a standard deviation of 299. We take a random sample of size 56 from this…

A: Given, σ=299n=56 Let,x be the sample mean and Xtot be the sample sum. c). The required standard…

Q: Police response time to an emergency call is the difference between the time the call is first…

A: Let X be the police response time follow normal distribution Mean μ=9.6, standard deviation σ=2.3…

Q: Police response time to an emergency call is the difference between the time the call is first…

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Q: Police response time to an emergency call is the difference between the time the call is first…

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Q: 4.121 Find the variance and the standard deviation. A random variable X has the following…

A: The expected value of X can be obtained as:

Q: An insurance salesperson sells an average of 4.90 policies per day. Let x denote the number of…

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Q: Police response time to an emergency call is the difference between the time the call is first…

A: The provided information are: Population mean (µ) = 6.4 Population standard deviation (σ) = 1.4…

Q: A continuous random variable X is normally distributed with a mean of 45 and a standard deviation of…

A: Given  X~ N(μ=mean=45, standard deviation=σ=6)

Q: A population has a variance of 867. We take a random sample of size 47 from this population. Let…

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Q: Vital Statistics: Heights of Women –The heights of 18-year old women are approximately normally…

A: From the provided information, Mean (µ) = 61 inches Standard deviation (σ) = 2 inches X~N (61, 2)…

Q: mine the probability P(1 or fewer) for a binomial experiment with n= 8 trials and success…

A: Given that  Number of trials n=8 Success of probability p=0.5 , q=1-p=0.5 X~binomial (n , p)

Q: Police response time to an emergency call is the difference between the time the call is first…

A: Given that, Mean = 6.8 Standard deviation = 1.9

Q: Patients who have artificial hip-replacement surgery experience pain the first day after surgery.…

A: x 1 2 3 4 5 P(x) 0.06 0.18 0.21 0.25 0.3

Q: P(x) 6. 0.2 7 0.2 0.3 9 0.2 10 0.1 1. Calculate the mean or the expected value of X 2. Calculate the…

A: Given, discrete distribution       x      P(x)       6     0.2       7     0.2       8…

Q: Find the standard deviations of the random variables. The mean for part a is 11.5, and the mean for…

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Q: C. X is a normally distributed random variable with a mean of 57 and a standard deviation of 6. Find…

A: Given data : Population mean  = 57 Population standard deviation = 6

Q: A normal population has a mean of of 60 and standard deviation of 12. A random sample of 9 is…

A: Using normal distribution we find the given probability.

Q: The population mean annual salary for flight attendants is $56,275. A random sample of 48 flight…

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Q: A variable X follows a log-normal distribution with mean = 4 and variance = 0.64. Calculate the…

A: Given Data: X~ Log normal (4, 0.64) That is, μ=4σ2=0.64 Therefore, Log X~ Normal (eμ+σ22,…

Q: Police response time to an emergency call is the difference between the time the call is first…

A: a) Denote the random variable X as the police response time. It has mean 11.2 and standard deviation…

Q: a) Find the expected value of X. b) Find the variance of X. c) Find the standard deviation of X.

A: Question 20 a) The expected value of X is,…

Q: Consider a probability distribution for the random variable X, where the mean is 1 and the standard…

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Q: Expected value of a random variable X is 0.20. EX-P(X) = 0.35. Standard deviation of the random…

A: Given, E (x) = 0.20∑x2 P(x) = 0.35     To find  Standard deviation = σ = ?

Q: Police response time to an emergency call is the difference between the time the call is first…

A: Mean = 8.7 Standard deviation = 1.7

Q: airline has a baggage weight limit of 50 lb. Suppose that the weight of the baggage checked by an…

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Q: 5) A population has a normal distribution with a mean of 50 and a standard deviation of 10 If a…

A: A continuous random variable X is said to follow Normal distribution with parameters μ and σ2 if its…

Q: Police response time to an emergency call is the difference between the time the call is first…

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Q: Police response time to an emergency call is the difference between the time the call is first…

A: We use the formula for a standardized Z-value: Z=(X−μ)/ σ where Z= the standardized Z-score X= the…

Q: A population has a standard deviation of 34. We take a random sample of size 30 from this…

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

Q: Eggs and poultry when not properly handled or undercooked are the most frequent reasons for…

A: Given Problem is poisson distribution. A discrete random variable X taking values 0,1,2,...is said…

Q: Find the expected value and standard deviation of the following. X probability 0 0.4 1 0.2 2 0.4

A: Solution

Q: Police response time to an emergency call is the difference between the time the call is first…

A: Solution: We are given that the police response time has a normal distribution with a mean of 8.9…

Q: 3. Law School Admissions Test (LSAT) scores are approximately normally distributed with a mean of…

A: Given,mean(μ)=150standard deviation(σ)=10

Q: Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi…

A: We have given that,  X be the random variable from normal distribution with mean (μ) = 5.1 and…

Q: The heights in a population of women are normally distributed.  The mean height is 66 inches, and…

A: Solution: Let X be the height of women. From the given information, X follows normal distribution…

Q: X is a normally distributed random variable with a mean of 22 and a standard deviation of 5. The…

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Q: stion Completion Status: he amount of water consumed each week by Bronx residences is normally…

A: Given : sample size, n = 100 sample mean, x̄ = 125 population standard…

Q: where a > 0 is known. a Find the MLE ô of 0. b Find the expected value and variance of ê. c. Is the…

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Q: An airline has a baggage weight limit of 50 lb. Suppose that the weight of the baggage checked by an…

A: Solution : Given that, baggage weight limit of 50 lb. The weight of the baggage of passenger is…

Q: 5.27 Find the variance and the standard deviation. A random variable X has the following…

A: The variance is a measure of how far each value in the data set is from the mean. here is how it is…

Q: Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi…

A: Given Thickness measurement of ancient prehistoric Native american pot shards discovered in hopi…

Q: Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi…

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Q: X is a normally normally distributed variable with mean u- 10 and standard deviation a-4. Find A)…

A: Given data,μ=10σ=4

Q: If a random variable Y has a Chi-square distribution with 9 degrees of freedom. a) The mean of the…

A: Hi, thanks for the question, since there are more than 3 sub parts posted in the question. We will…

Q: Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi…

A: Solution: Let X be the thickness. From the given information, X follows normal distribution with…