The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2847 and standard deviation 621. One randomly selected customer is observed to see how many calories X that customer consumes. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 2847 ✓ 621 من من b. Find the probability that the customer consumes less than 2509 calories. c. What proportion of the customers consume over 3140 calories? d. The Piggy award will given out to the 2% of customers who consume the most calories. What is the fewest number of calories a person must consume to receive the Piggy award? calories. (Round to the nearest calorie)

Q: A Lie algebra L is said to be reductive if Z(L) = Rad(L). (For parts (b), (c), assume chark = 0 andk…

A: a) Let L be a reductive lie algebra and let L=I1⊕I2⊕...⊕In be a decomposition of L into simple…

Q: - For each of the following, give an example of functions f: A g: B → C that satisfy the stated…

A: As per company guidelines we solve only three subparts. For other part kindly post in next question…

Q: The Body Mass Index (BMI) is a rate of a person's weight in kg divided by their height in meters…

A: Let's find.

Q: Refer to the following MegaStat output (some information is missing). The sample size was n=24 in a…

A:

Q: If a seed is planted, it has a 90% chance of growing into a healthy plant. If 8 seeds are planted,…

A: There is a 90% chance of growing into a healthy plant.

Q: normal population has a mean of $84 and standard deviation of $14. You select random samples of 40.…

A: Given data,Mean μ=84sd    σ=14n=40

Q: Functions A-F: Function A Function B Function C Function D Function F Function E Derivative…

A:

Q: Let (-3, 8) be a point on the terminal side of 0. Find the exact values of sin 0, csc0, and cot 0.

A: Here we use basic trigonometry to solve this

Q: In a random sample of 37 criminals convicted of a certain crime, it was determined that the mean…

A: Given data n=37 mean=61 standard deviation=8 confidence interval=95%

Q: d. In an effort to reduce costs, the assembly instructions were rewritten with fewer pages. The…

A: Let p be the population proportion of all customers who purchase a bicycle called the helpline.…

Q: Out of 500 people sampled, 445 preferred Candidate A. Based on this, estimate what proportion of the…

A: Given Data: p=445/500=0.89 n=500   z-value corresponding to 90% Confidence =1.645

Q: a = 0.01, can the claim be supported? Complete parts (a) throu Assume the population is normally…

A: Let  denote the mean amount of lead in the air in U.S. Cities. The goal is to test the claim that…

Q: An instructor says that your test grade produced a very large positive z-score. (a) How well did you…

A: Given that an instructor says that your test grade produces a very large positive z-score. c). If…

Q: Suppose the heights of 18-year-old men are approximately normally distributed, with mean 69 inches…

A:

Q: Please help. The answer is not 4.

A: Step 1: By applying the Power Rule of Integration, ∫xadx=a+11​xa+1+c ,  Step 2: To find the…

Q: (c) H:s ≤ 0.30 (d) H: Yes, this statement is an assertion about the value of a parameter. Yes, this…

A: Note : Parameters are population characteristics while statistic is sample characteristic.

Q: (d) Would it seem that the number of trials is large enough to justify a normal approximation to the…

A: Given: Sample size, n=800 No. of students did not get flu after the shots, x=600

Q: B. Construct a 95% confidence interval estimate of 4-4, the difference between the mean weight of…

A: Given Information: B) 95% confidence interval estimate of difference between the mean weight of…

Q: In a 2018 survey of 10,508 CEOS by PayScale.com, the range of annual salaries reported was from…

A: n1=n2=12α=0.05

Q: Mike Jimenez is president of the teachers' union for Preston School District. In preparing for…

A: As per the given information, the President of the teacher's union of Preston school district wants…

Q: 6. Telephone Surveys The Pew Research Center reports that they are only able to contact 76% of…

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

Q: According to an airline, flights on a certain route are on time 80% of the time. Suppose 10 flights…

A: Given that, according  to an airline, flights on certain routes are on time 80% of the time. 10…

Q: An antidepressant has historically been known to relieve depression for 80% of patients who use the…

A: Statistical hypothesis testing is an important method in inferential statistics. It is used to test…

Q: t Given that A =| u and det(A) = -5, evaluate the following: a. det(A) = b. det(AT) = С. det(3A) =…

A:

Q: Below is a stem-plot of the birth weights of male babies born to the smoking group. The stems are in…

A: Obtain the median birth weight.   The median birth weight is obtained below as follows:   The…

Q: f(x,y) = /1+9ry, y = r³ for 0 < x < 1. (line integral for a function of two variables is computed…

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: 2. (a) Find a particular solution to y" + 2y' + y = x2. (b) Find the general solution. (c) Solve the…

A:

Q: (d) Is it possible that a supermajority (more than 60%) of adults in the country believe that…

A: d) The proportion value is 0.60.

Q: (c) Find the value of the test statistic. (Round to three or more decimal places.) 2.368 (d) Find…

A: It is given that the test is two-tailed test. t = 2.368 n1 = n2 = 95

Q: (a) Demonstrate that a polynomial is completely determined by its coefficients. That is, if n and m…

A: (d) Given that m1,m2,b1,b2 are real no. we need to express lm1,b1.lm2,b2 in quadratic form. We'll…

Q: Problem 3: Consider the second-order linear initial value problem: x²y" + cos(x) y = 0, y(1) = 0…

A: Existence and uniqueness theorem: Let p, q and g be continuous function on an open interval I such…

Q: Let sin t = a, cost=b, and tant = c. Write the following expression in terms of a, b, and c. 8 tan…

A: Since you have posted multiple questions, as per guidelines we are supposed to answer only first…

Q: lots. The ware are categorized by lot and by whether they conform to Quality a thickness…

A: Let's use the given information to complete the contingency tableConformingNot…

Q: Consider the function f(x) = 1 1+24 1 Find the power series representation of centered at 0. Write…

A: Consider the given function .We need to find the power series representation of  and its integral…

Q: What could you divide and then multiply by to go from the first number to the second? First number:…

A:

Q: Hugh was trying to see if he could tile a 2" x 2" board with L-shaped tiles (i.e. a 2 X 2 tile with…

A: Given: We have given a 2n×2n board and we want to fit the board with L-shaped tiles such that ∃ an…