A company that manufactures and bottles juice uses a machine that automatically fills 16-ounce bottles. There is some vari- ation in the amount of liquid dispensed by the machine. The amount of juice dispensed has been observed to follow a normal distribution with mean of 16 ounces and standard deviation of 0.6 ounces. (a) What is the probability that the machine dispenses more than 17 ounces? (b) What is the probability that the machine dispenses between 15.5 and 16.5 ounces? (c) Suppose you wish to be 95% confident that the machine dis- penses between 15.5 and 16.5 ounces. What standard deviation must your machine have for this to be the case?

Q: (f) X²0.995, 25

A: χ0.995,25225 is degree of freedom

Q: how that the variance of a geometric random variable X; is given by V ar(X) = q/p^2 .

A:

Q: On a popular app, users rate restaurants as 1. 2. 3. 4, or 5 stars. Suppose a rating is randomly se…

A: Given:XP(X=x)10.2120.2030.1140.2450.24

Q: Question 10 A recruiting firm finds that 20% of the applicants for a particular sales position are…

A: Suppose a recruiting firm finds that  of the applicants for a particular sales position are fluent…

Q: A fair die is rolled once followed by tossing a fair coin. A random variable X is defined as: X =…

A:

Q: On average, 2 traffic accidents per month occur at a certain intersection. Complete parts (a)…

A: On average, 2 traffic accidents per month occur at a certain intersection.X~Poisson(λ=2)Note:…

Q: A continuous variable x is said to have a uniform distri- bution if the density function is given by…

A: Given that continuous variable               if the density function is               The time taken…

Q: Question 3 A mail-order computer business has five telephone lines. Let X denote the number of lines…

A: x012345P(x)0.100.150.200.250.220.08

Q: what is the standard deviation?

A: x205075100TotalP(x)0.150.460.230.161.00

Q: a. Flip a balanced coin 5000 times. Let X be the total number of heads. Compute P(2400 ≤ X ≤ 2600).…

A: Since the number of trials (n = 5000) is very large we can use normal approximation using Central…

Q: A fair coin is tossed three times. What is the probability that all three tosses are tails? Write…

A:

Q: here are 5 married couples at a party. The 5 men are blindfolded so that at the beginning of a…

A: Given that there are 5 couples at the party.

Q: Y 1 x 0 2 3 0 0.04 0.09 0.10 0.12 1 0.07 0.11 0.08 0.04 0.15 0.10 0.05 0.05 2 (a) Compute E(X),…

A: Suppose the joint pmf of X and Y is

Q: well-balanced die is rolled 300 times. Find the probability that the [1] appears between 55 and 60…

A: n=300, P(55≤X≤60)=?

Q: Suppose there are 10 candies in a jar, and you want to randomly pick a candy without looking. Each…

A: Given:There are 10 candies in a jar.Each time you pick a candy without looking, there's a 1/10…

Q: Suppose you are working on a project that involves using Naive Bayes to classify fruits as either…

A: To classify a new fruit as either an "apple" or an "orange" based on its weight and color using…

Q: On her week-long trip to sunny Puerto Rico, Irvane brought 7 hats, one for each day of the week.…

A: For total of 7 days, we have 7 different colours of hat.So, total permutations are 7! (There are 7…

Q: Suppose you were planning a trip to the Disney World next year. You found the probability of going…

A: The probability distribution of number of trips in Place D is given.

Q: Let X1 ∼ N(0.7,1.4), X2 ∼ N(−0.5,1.2), X3 ∼ N(0.9,1.7), and X4 ∼ N(−0.2,2.1), independently. 1.…

A: X1 ∼ N(0.7,1.4), X2 ∼ N(−0.5,1.2), X3 ∼ N(0.9,1.7), and X4 ∼ N(−0.2,2.1), independently.

Q: 2. A discrete random variable X takes all positive integer values {1, 2, 3, 4,...) and has…

A: F(K)=1−13k

Q: Each time a player plays a certain card game, there is a probability of 0.15 that the game will work…

A: It is given that each time a player plays a certain card game, there is a probability of 0.15 that…

Q: 23. The average number of available jobs for registered nurses is 103,900. If this distribution is…

A: It is given that Mean = 103900Standard deviation = 8040

Q: Marie and Sally make painted mugs for a shop. Marie's cups are 59% with no flaws, 30% with one flaw…

A: The probability that Sally made the cup:     The probability that Marie made the cup:     The…

Q: 1. In a large population, 10% of individuals have certain disease. If 20 individuals are selected…

A: Given that in a large population, 10% of individuals have certain disease.20 individuals are…

Q: How many scholars ride in cars? How many scholars walk?

A: there are 624 scholars who attend Excel Middle School. (3)/(4)of the scholars ride the bus to…

Q: Suppose X₁, X2, and X3 are independent Bernoulli random variables with success prob- abilities p₁,…

A: , , and are independent Bernoulli random variables. ,  and are the probability of success of these…

Q: Consider the following joint probabilities table for X and Y, where x = 1, 2, 3 and y = 1, 2, 3, 4.…

A: From the information, given the joint probabilities table is, Where, x=1,2,3 and y= 1,2,3,4.

Q: A drinks bottling production line has a relative frequency failure rate of 0.0045 If 2,000,000…

A: The formula of the expected number value is,Where,N denotes the Total number of observationsp…

Q: Question 3 Suppose that the height, in inches, of a 22-year-old man is a normal random variable…

A: Suppose that the height, in inches, of a 22-year-old man is a normal random variable with mean 71…

Q: Q 2.5. Let X and Y be independent Exponential (A) random variables. Let M = min{X, Y} and U = max{X,…

A:

Q: 11.53 The following data represent the chemistry grades for a random sample of 12 freshmen at a cer-…

A: Given the chemistry grades for a random sample of 12 freshmen at a certain college along with their…

Q: 7 The probability that it is from the 40s is 40 1 The probability that it is from the 50s is 4 The…

A: It is given that    EraNo. of records  40s   7  50s  10  60s  1  70s  4  80s  8 Total

Q: A car panel is spray-painted by a machine, and the technicians are particularly interested in the…

A:

Q: Consider a random variable, z, that has a standardized normal distribution. Determine the following…

A: Consider a random variable follows a standard normal distribution.i.e.

Q: . Suppose X ~N(3.7, 1.28). Let Y = -0.5X + 14. Then, P(X <= 5.0) =?, E(Y ) =?, and V(Y

A:

Q: Classify the following statement as an example of classical probability, empirical probability, or…

A: The statement is provided with the condition that the probability of repairing the washing machine…

Q: Sweetwater & Associates write weekend trip insurance at a very nominal charge. Records show that the…

A: n = 400, p = 0.00555Let X be the number of accident during the weekend and file a claim.p be the…

Q: Assume that X is a Poisson random variable with = 5. Calculate the following probabilities. Note: Do…

A: Assume that X is a Poisson random variable with μ = 5 .

Q: 14. Seven cards are chosen from a well-shuffled deck of 52 playing cards. In how many selections do…

A: It is given that the standard well-shuffled deck of 52 playing cards.Number of jacks = 4

Q: We consider that the daily number of telephone calls received by the STOF store switchboard operator…

A: Mean()=120Standard deviation()=20

Q: Let X = the time between two successive arrivals at the drive-up window of a local bank. If X has an…

A: As per the Bartleby guildlines we have to solve first three subparts and rest can be reposted.X…

Q: A wheel has 8 equally sized slices numbered from 1 to 8. Some are grey and some are white. The…

A: The total number of slicesThe number of grey slicesThe number of white slices

Q: Let X1,...,Xn be a random sample from the distribution f(x) = 2x, 0 < x < 1. Find the distribution…

A: f(x)=2x ; 0&lt; x&lt; 1 n be the sample size

Q: The amount of time a nurse at the blood donor clinic spends with a patient is known to follow an…

A: The average amount of time spends with a patient is 10 minutes.A random variable XExponential(=)The…

Q: Marco is a basketball player who succeeds 90% of his free throws. What is the probability that he…

A: the probability that Marco succeeds in minus 7 of his next 10 free throws, you can use the binomial…

Q: What is the expectation of X?

A: An urn holds 4 red, 3 blue, and 2 green marbles.Three marbles are selected, altogether, without…

Q: this helps... but the question is asking what is the expected times we would flip a head. My…

A: To solve this problem, we can consider the cases where we flip a head in the first, second, third,…

Q: Question 4 An insurance company offers its policyholders a number of different payment options. For…

A: CDF : Cummulative distribution function is defined as follows :CDF of a random variable X is defined…

Q: The distribution of hourly wages of employees of the TNON company obeys a normal law whose average…

A: The distribution of hourly wages of employees of the TNON company obeys a normal law the average…

Q: Repeating rolling of a die is considered as Bernoulli trials. A standard 6-sided fair die is rolled…

A: The number of sides of the fair dieThe number of times the die is rolledSince you have posted a…