A manufacturer knows that their items have a normally distributed length, with a mean of 13.6 inches, and standard deviation of 3.2 inches. If 25 items are chosen at random, what is the probability that their mean length is less than 14.5 inches? Round your answer to four places after the decimal.

Q: In a technology company, it is known that the average of network failure is 2 per week. What is the…

A: Let X denote the number of failures per week.  It is given that Average number of failures = 2

Q: 15. A restaurant that specializes in ice cream has nine different toppings available to add to the…

A: Given: A restaurant that specializes in ice cream has nine different toppings available to add to…

Q: Estimate the proportion of parts from vendor A that are defective and find the uncertainty in the…

A: here given , In a random sample of 100 parts ordered from vendor A, 12 were defective. In a random…

Q: Assume a normal distribution of mean = 35 and standard deviation of 5. Answer the following…

A: a) μ= 35 σ=5    P ( x  > 38) = 1- p (x ≤ 38)                              = 1 - p[ (x-μ)/σ  ≤…

Q: The joint distribution of the random variable X and Y is given in the following table 1 3. 4 Y 0. 18…

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Q: Match the definition to each term listed below. Number Definition A table that shows the payoffs…

A: a) Positive sum game is b) One-time game

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Q: True or False?? Let B(t) be standard Brownian motion and is known that B(t) is equal to zero at time…

A: Given: B(t) = 0; t = 0 B(t) = 600; t = 1000

Q: 16. You are going to take a true-false quiz that has five questions. Unfortunately, the test is…

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Q: Suppose X has pdt f(x) = - z(1 +x) which one is the pdf for Y 2X. (A) f)D- (8) f0)=- z(l + 4y) (4 +…

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Q: In the instant lottery with 30% winning tickets, if X is equal to the number of winning tickets…

A: Solution-: Given: n=8, p=0.30 (or 30%) We want find, P(purchasing two winning tickets)=?

Q: Data Frequency 40 - 44 45- 49 4. 50 54 55 59 12 60 64 16 65 69 11 70-74 75 - 79 1 80 84 mode median…

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Q: Use the random sample data to test the claim that the mean travel distance to work in California is…

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Q: The sample space of a random experiment is {a,b.c,d,e,f}, and each outcomes is equally likely. A…

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Q: CNNBC recently reported that the annual cost of auto insurance is normally distributed with a mean…

A: Let X be the random variable from normal distribution with mean (μ) = 970, standard deviation (σ) =…

Q: Do all three solution approaches for simultaneous games work independently (not  together)? If not,…

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Q: Activity: A. Written Work No. 2 Accor ding to NSCB statistics, the life expectancy of Filipino women…

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Q: Suppose that a die is rolled twice. Let X be the minimum value to appear in the two rolls. (a)…

A: Given: A die that is rolled twice. The minimum value to appear in two rolls=X To construct: To…

Q: In the instant lottery with 30% winning tickets, if X is equal to the number of winning tickets…

A: Given :  Probability of success,p = 0.30

Q: 3. A table that displays frequencies and relative frequencies for different categories I. Identify…

A: We need to Identify each. 1. The entire collection of individuals or measurements about which…

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Q: clinology company, it is known that the average of network failure is I per week. What is the…

A: Given : mean , μ= λ = 1

Q: Consider this Preference Voting Table from 50 voters and 4 candidates Rank/ Number of 19 14 10 votes…

A: Given, the Preference Voting Table from 50 voters and 4 candidates,  if 1st place gets 4 points, 2nd…

Q: need the

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Q: B. Performance Task No. 2 Mathem atical Journal. Answer the question: Is hypo thesis testing an…

A: Hypothesis testing: In statistics, hypothesis testing is a method to test an assumption or…

Q: Telephone calls enter a college switchboard on the average of two every three minutes. The…

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Q: The

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Q: Suppose that a fast food restaurant can expect two customers every 3 minutes, on average. What is…

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Q: Telephone calls enter a college switchboard on the average of two every three minutes. The…

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Q: need

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Q: s morning he bought an Espresso. What Is the probability that he bought it from Starbucks?

A: here define event  he Bought coffee from costa = C he Bought coffee from  Star Bucks  = S  buy…

Q: 4, 4, 5, 6, 9, 9, 9, 12, 13, 14, 14 26. The mean is 27 The median of the distribution is 28. The…

A: Solution: Given data is already in ascending order so use given data n=number of elements=11…

Q: 47. A box contains five orange and two green marbles. What is the probability that an orange meskl…

A: Given problem Given that   A box contains five orange and 2 green marbles. Orange marbles = 5…

Q: Among the 30 applicants for a position at a bank, 18 are married, of which 6 have some banking…

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Q: sion to tak

A: The alternatives and state of nature can be given. Equally likelihood can be denoted as "all events…

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Q: The distribution of retirement age for NFL players is normally distributed with a mean of 33 years…

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Q: In 2017, a labor union in City A listed the 5 categories of most importance to their members. In…

A: The categorical variable has 5 categories. We have to test whether the distribution still holds true…

Q: Example 6.14 Convert the set of numbers 6, 7, 5, 10 and 12 into standard scores:

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Q: Continuous Distributions - Data Management A company produces boxes of candy that contain a mean…

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Q: 1. A manufacturer of cereal finds that the masses of cereal in the company’s 200-g packages are…

A: The mean is 200 and the standard deviation is 16.3.

Q: Are the two events in each scenario mutually exclusive or not? Explain. c) Rolling a sum that is…

A: If the occurrences of both events cannot occur same time, then the events can be called as mutually…

Q: Test scores for a given class are normally distributed with a mean of 80 and standard deviation 12.…

A: Solution-: Given: μ=80,σ=12 Find the test score that separates the top 10%.

Q: In a health examination survey of a prefecture in Japan, the population was found to have an average…

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Q: Let X and Y be two continuous random variables with joint probability density function given by:…

A: Var(aX)= a2var(X) cov (aX,bY)= a×b×cov(X,Y)

Q: Consider a Markov chain with state space {1,2,3} and transition probabilities P13 = P21 = P32 = 0…

A: Consider the Markov chain with state space S= {1,2,3} and transition probabilities P13=P21=P32=0 and…

Q: d) he or she is a part-time student and does not work? e) he or she is a full-time student and does…

A: For the given data Find all the required probabilities

Q: a) In how many ways can 6 people be seated in a row of 12 sests so that here are no unoccupied seats…

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Q: Suppose that in a simplified model with proportional taxation consumer’s utility is represented by a…

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Q: The life expectancy of a fluorescent light bulb is given by the number of hours that it will burn.…

A: Given that                      We have to find sample standard deviation :