A manufacturer knows that their items have a normally distributed lifespan, with a mean of 4.6 years, and standard deviation of 0.8 years. If you randomly purchase one item, what is the probability it will last longer than 6 years? Round answer to three decimal places Question Help: Video

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A: It is given that x = 556n = 914Confidence level = 95%

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A: To prove that if X and Y are non-negative independent random variables, then X^2 and Y^2 are…

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A: P(A)=0.3 and P(B)=0.15A and B are independent.

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A: Note:- "Since you have posted a question with multiple subparts we will provide solutions only to…

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A:

Q: 2. Let (S, P) be a probability space with S= {a, b, c, d, e) and P(a)= 0.1, P(b) = 0.2, P(c)=0.3,…

A: (S,P) be a probability space with S={a,b,c,d,e}P(a)=0.1, P(b)=0.2, P(c)=0.3, P(d)=0.2,…

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A:

Q: On a laboraty assignment, if the equipment is working, the density function of the observed outcome…

A: Given that

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A: Joint pdf of X and Y is f(x,y)=15x2y; 0&lt; x&lt;y&lt;1

Q: A population has a mean μ = 72 and a standard deviation o=27. Find the mean and standard deviation…

A: Population mean=72Population standard deviation=27Sample size n=81

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A: Given a retailer for a petroleum product sells a random amount X each day. Suppose that X, measured…

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A: a)The Venn diagram of total 222 students, who have any of the three social media accounts, is…

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A: 164 are over the age of 50327 total members The probability that a randomly selected member of the…

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A: Given the hint, we will define a random variable X that is uniformly distributed over (0,1).Now,…

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A: a. b. c.

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A: According to guidline we are supposed to solve first 3 subpart only,rest can be resubmittedThanku

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A: Categories of Employment status:A: UnemployedB: Employed.Categories of highest level of school…

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A: Given,Population mean, μ = 159Population standard deviation, σ = 22Sample size, n = 54

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A: Given,A room is lit by two light bulbs bulbs which are connected in series circuit. if either light…

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A: We have given that a business organization has 6 accounting majors and 6 finance majors and the…

Q: A random sample of 5008 adults in a country includes 760 who do not use the Internet. Construct a…

A: n=5008x=760

Q: Consider two random variables X and Y with the following joint density function f(x,y) = {e^** a)…

A: f(x,y)=e−x;0≤y≤x&lt;∞

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A: We have to draw  cards from a standard deck of  cards.i.e. Let, be the number of cards drawn. be the…

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A: Solution-:Given: We want to find the probability density function of the random variable

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A:

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A: Given statements on the boxes are:Black Box: "The key is not in the white box."White Box: "The key…

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A: 4 red marbles,3 green ones,2 white ones,1 purple one.

Q: You are the operations manager for an airline and you are considering a higher fare level for…

A: Given,Confidence level, C = 99% = 0.99Margin of error, E = 4.5% = 0.045

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A: Given that X is the time in years that a new microwave will last. And its pdf is:f(x)=…

Q: why is there two images of the same working out in answering part two? is it meant to be a different…

A: The two images are the same. The expert copied it again in the solution section.

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A: We have a frequency distribution of the credit card rates charged by the top 100 issuers. We need to…

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A: The mean of a Gamma distribution is The variance of a Gamma distribution is

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A:

Q: A uniform random variable X has a probability density given by: 1/0≤x≤2 otherwise f(x) = The mean of…

A: Mean=1, variance=13

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Q: Instructions: Answer all questions. Show all working. 1. One hundred persons were asked, "Do you…

A: Let's create a contingency table based on the information provided. The table will have two…

Q: Find the indicated probability and interpret the result. From 1975 through 2020, the mean annual…

A: Given,Population mean, μ = 652Population standard deviation, σ = 1541Sample size, n = 35

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A: A shipment contains 14 televisions, of which two are defective.Total = 14Defective = 2Non defective…

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A: Container contain 1 to 25 numbered identical balls

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A: A survey of 249 UNLV students regarding the mode of transportation they use to commute to the campus…

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A:

Q: Find the indicated probability.   If​ P(A or ​B)=0.6​, ​P(A)=0.2​, and​ P(A and ​B)=0.15​, find​…

A: P(A or B) = 0.6, P(A) = 0.2, P(A and B) = 0.15

Q: Use the following information for question 3 and 4. An experiment consists of tossing a pair of dice…

A: An experiment consists of tossing a pair of dice.We have to observe the numbers that are on the…

Q: Suppose that X is a uniform random variable on the interval [0, 1]. After observing the value X = x,…

A: Let f(x,y) be the joint pdf of X and Yf(x,y) = f(x) f(y| X = x)                     =  (1/1-0)…

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A: Note: As per our guidelines we are supposed to answer only 3 sub-parts of any questions so I am…

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Q: Use the standard normal table to find the z-score that corresponds to the given percentile. If the…

A: Z has follows standard normal distribution with mean zero and standard deviation one.