Please show work Assume M&M candies are randomly selected and grouped in bags of 45 pieces per bag and that 20% of all M&Ms are Blue. What are the mean  and standard deviation  (to nearest 0.1) of the number of Blue pieces per bag? {You may consider this to be a binomial probability distribution.]

Q: in a certain region, the mean annual salary for electricians is $58,650. Let x be a random variable…

A: GivenMean(μ)=58650standard deviation(s)=1890sample size(n)=40

Q: The mileage (in 1,000s of miles) that car owners get with a certain kind of radial tire is a random…

A: Step 1:Step 2: Step 3: Step 4:

Q: If the mean of a Binomial distribution is 5, which is the most likely value for its standard…

A: Answer :- Mean of binomial Distribution  = np = 5 Standard Deviation of binomial Distribution =

Q: In an certain species of newt, offspring are born either green or black. Suppose that 45% of these…

A: The given sample size is 142, and also given that 45% of these newts are born green.

Q: b. If a sample of 25 employees is chosen at random, what is the probability that their average…

A: Answer:- Given, Mean (µ) = 5.7  And standard deviation (σ) = 1.8 Using formula, Z-score= (X- µ)/σ…

Q: data from an assessment of a group of subjects is known to have a mean of 100 and a standard…

A: Suppose the variable of interest is x with mean  and the standard deviation of .

Q: 2. In a cat fish farm, the weight of cat fish is found to follow normal distribution with mean 1.2kg…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: The average student loan debt for college graduates is $25,000. Suppose that that distribution is…

A:

Q: Suppose that the heights of men in the United States are normally distributed with a mean of 65.6…

A: The mean is 65.6 and the standard deviation is 2.7.

Q: The average student loan debt for college graduates is $25,700. Suppose that that distribution is…

A: Given that The average college student loan debt for college graduates (μ) = $25,700 The…

Q: The number of typhoon occurring in the Philippines in a particular month is known to conform to the…

A: Given,standard deviation of the poisson distribution is 2so, λ=2λ=4A random variable…

Q: In an certain species of newt, offspring are born either green or black. Suppose that 45% of these…

A: The mean of the sampling distribution of the sample proportion. The standard deviation of the…

Q: The average student loan debt for college graduates is $25,350. Suppose that that distribution is…

A: a) The mean is 25350 and the standard deviation is 14150.

Q: Suppose the time it takes for guests to wait for an elevator at the lobby of a certain office…

A: We have to find given probability.

Q: a. What is the distribution of X? X - N( b Find the probability that the college graduate has…

A: Given: μ=25000σ=10900

Q: If 15 P(5) = AP(1) in Poisson's distribution, what is the mean?

A: According to definition, the probability of x number of successes is given by the formula;…

Q: The average student loan debt for college graduates is $25,600. Suppose that that distribution is…

A: given: mean = 25600 standard deviation = 13450

Q: Suppose the movie theatre box office of a new film to be released is predicted to follow a Normal…

A:

Q: If the mean of the following probability distribution is 3.44, what is the variance? 3 4 P(X=x) 0.23…

A: We have to find the variance of the probability distribution.

Q: American households increasingly rely on cell phones as their exclusive telephone service. It is…

A: Using the Binomial distribution probability.

Q: Assume that the life of a car engine has a Weibull distribution with a=2, X= 1 per 5 years. a. What…

A: Let X : Life of a car engine  X ~Weibull(a=2, λ=1) Its pdf is given by  f(x) = λaxaλ-1e-xaλ,…

Q: In the 2018 General Social Survey, a random sample of 1666 adults in the U.S. was asked how old they…

A:

Q: Find the probability that the mean height of the sample is greater than 58 inches.

A: Assume that the height of adult females in the United States is approximately normally distributed…

Q: 10% of tools produced by a certain manufacturing process turn out to be defective.  Assuming…

A:

Q: An operations manager is studying the failure of equipment in a manufacturing facility. He knows…

A: Given, An operation manager is studying the failure of equipment in a manufacturing facility. He…

Q: It is known that for a laboratory computing system the number of system failures during a month has…

A: It is known that for a laboratory computing system the number of system failures during a month has…

Q: uppose that the heights of female adults in the United States are normally distributed with a mean…

A: Solution-: Given: μ=65.4inches,σ=2.8inches We obtained the following: (a) P(X is between 66 and 70…

Q: A drug tester claims that a drug cures a rare skin disease 72​% of the time. The claim is checked by…

A: Given,n=100p=0.72mean(μ)=np=100×0.72=72standard deviation(σ)=npqσ=100×0.72×(1-0.72)=4.48999

Q: 1. The data records the length of stay of engineering students in the university. We will assume a…

A:

Q: Suppose that the average price for a gallon of gasoline in the United States is $3.77  and in Russia…

A: Let X be the for United States Y for Russia

Q: About 54% of people who are murdered knew the person who committed the murder. Suppose that…

A: X~Bin(n=58, p=0.54)

Q: Suppose the time it takes for guests to wait for an elevator at the lobby of a certain office…

A: For a continuous distributions, exact probabilities are zero.

Q: assume that the daily retun on Apple stock is approximately normally distributed  with the mean…

A: From the provided information, Mean (µ) = 0.13% Standard deviation (σ) = 2.34% X~N (0.13, 2.34)

Q: A ferry arrives every half hour at a Danube port. What is the probability that an individual…

A:

Q: The average student loan debt for college graduates is $25,750. Suppose that that distribution is…

A: Given Average= 25750, standard deviations=14500

Q: Suppose the time it takes for guests to wait for an elevator at the lobby of a certair office…

A: concepts and reasonuniform distribution is a continuous probability distribution.it is defined…

Q: About 54% of people who are murdered knew the person who committed the murder. Suppose that…

A: Probability of people who are murdered knew the person who committed the murder(p)=0.54sample…

Q: The average time spent by a car salesman each weekend is normally distributed with a mean of 12.5 hr…

A: Given Information: Meanμ=12.5hrS.Dσ=3hr

Q: listribution is left-skewed. A random sample of n = 81 students will be c ability that the mean of…

A: Given that.   X~N( μ , ?)   μ=3.5 , ?=0.7  , n=81   Z-score =( x - μ )/?

Q: 3 A play is enjoying a long run at a theatre. It is found that the play time may be modelled as a…

A: We have given that,  Play time be modelled are normally distributed with mean (Mu) = 130 minutes…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.