A catering service got hired to run the bar at a wedding with 100 guests. A wedding guest drinks on average 4 pints with variance of 0.9. i. Calculate how many pints the catering service approximately has to have in stock to be 95% sure that they can serve the demand.  ii. To be on the safe side the catering service decides to bring 430 pints. What is the approximate probability that those will suffice?

Q: This will be involving the selection of colored balls from two bags. Assume that each bag contains 5…

A: bag 1 : 4 red1 white_____________5total ballsbag2 :3 red1 white1 blue___________5 total ballsselect…

Q: Scores on the GRE (Graduate Record Examination) are normally distributed with a mean of 506 and a…

A: It is given that  Mean = 506,  And SD = 81

Q: Let (Xn) be independent Bernoulli (1/2) random be the number of n E N with n ≤ k so that Xn that =…

A: From the given information, Xn1∞ be independent Bernoulli(1/2) random variables.…

Q: In a survey on consumer spending methods, the following results were obtained. Payment Method…

A:

Q: Let X and Y have the joint pdf { Find the conditional pdf of X given Y = y. f(x,y) = 4xy, 0, 0≤x≤ 1…

A:

Q: a. What are the parameters a and ß of the relevant standard beta distribution? α = 3, B = 3 b.…

A:

Q: In a sporting​ event, the scoring area​ (shown here) consists of four concentric circles on the ice…

A: The radius of 4 concentric representations is given as, with radii approximately 4 inches, 3 ft, 5…

Q: Let X and Y be uniformly distributed over the region given by 0 ≤ x ≤ 1, 0 ≤ y ≤ 1, and y ≤ x. (a)…

A: Given the random variables X and Y, which uniformly distributed over the region 0≤x≤1, 0≤y≤1 and…

Q: A group consists of 5 Democrats and 8 Republicans. 7 people are selected to attend a conference. a.…

A: In the given group there are 5 Democrats and 8 Republicans.

Q: A manufacturing firm claims that the batteries used in their electronic games will last an average…

A: The following information has been provided: The hypothesized population mean is μ=30. The sample…

Q: A company has a policy of retiring company cars; this policy looks at number of miles driven,…

A: Given mean is 44 and standard deviation is 9.

Q: A surgery has a success rate of 90%. Suppose that the surgery is performed on three patients. Graph…

A: p=probability=0.9, n=3 =sample size

Q: A shelf in the Metro Department Store contains 100 colored ink cartridges for a popular ink-jet…

A: It is given that  Total cartridges = 100 Defective cartridges = 6

Q: a)Calculate an unbiased point estimate of Pm. b) We wish to construct a 94 % classical confidence…

A: It is given that Sample size nm = 700 Number of patients with serious symptoms, xm = 226 Confidence…

Q: Q18. Suppose M is a stochastic matrix representing the probabilities of transitions each day.…

A:

Q: A film producer is evaluating a script by a new screenwriter. The producer knows that the…

A: Expected value stratey refers to that strategy in which the agent takes decision  based on the…

Q: A math club has 36 members. 23 of which are math majors , 16 of the members are in the principal…

A: Probability provide the likelihood of an event can occur. It lies between the range 0 to 1.…

Q: The life expectancy of a particular brand of tire is normally distributed with a mean of 40,000 and…

A: given population mean=40000 population sd =5000  probability that a randomly selected tire will have…

Q: Suppose ?∼Geom(?) V ∼ Geom ( p ) with ?= p = 0.64 and that ?=2? W = 2 V . Find ℙ(?≥8) P ( W ≥ 8 ) ,…

A: Given that, V ~geom(p) with p = 0.64

Q: he daily water level in Angat Dam is reported in batches of 30 - day periods. During the dry season…

A: According to central limit theorem, if sample size is sufficiently large (n ≥ 30) then, sampling…

Q: Suppose U~ Select one: Binomial(n, p) and n > 2. What is P(U > 1)? a. (1-p)"-¹[(1 − p) + np] b.…

A: Given that, U~Binomial (n,p)

Q: Mr. Kester has started an actuarial consulting firm in Des Moines and has rented a building to be…

A: Uniform distribution is also known as rectangular distribution. It is the type of continuous…

Q: Bighorn sheep are beautiful wild animals found throughout the western United States. Let x be the…

A: a. Suppose x defines the age of a bighorn sheep (independent variable) and y defines the mortality…

Q: (a) Let Z be a discrete random variable taking one of the four distributions covered in Chapter 10.…

A: Given that Let Z be a discrete random Variable Suppose you know that Var(Z)=(k+1)E(Z) where k = 7…

Q: a. Suppose X is a random variable with mean μ. What can you say about P(X> 3u)? b. Suppose in…

A: Solution-: We want to  (a) Consider X is a random variable with mean μ.What can you say about…

Q: The ABC facility has 213 pieces of equipment in their facility. Each piece of equipment requires…

A: The probability that a particular or specific substance or thing of apparatus requires cyclic care…

Q: Four candidates A, B, C and D have applied for the post in government office. If A is twice as…

A:

Q: The ice cream shop has 7 types of toppings available, and you decide to add 4 toppings to your bowl…

A: Given information- We have given that the ice cream shop has 7 types of toppings available. So, n =…

Q: A statistics instructor, when asked how students do on the first statistics exams claims that  the…

A: From the provided information, Sample size (n) = 22 Sample mean (x̄) = 74.2 Sample standard…

Q: anice was given a piggy bank on her seventh birthday, and she put it to use immediately. Each time…

A: Given that there are 660 coins, which were worth $78 in Janice piggy bank and she collects only…

Q: 3. The amount of weight it takes to break a piece of string is normally distributed with u-22 pounds…

A:

Q: AP Statistics Unit 5 Part 1 Review/Practice Homework- Chapters 13 & 14 3. Joe's Diner employs three…

A: Given that, Joe's Diner employs three dishwashers, Al, Betty, and Chuck. Al washes 40% of the dishes…

Q: Roll two 8-sided fair dice independently. Let X and Y denote the numbers appeared on the upper faces…

A: There are turn & sided fair diceswhere x&y denotes the number appeared on upper face of die,…

Q: At a bake​ sale, 120 items were sold for a total of​ $2,440. Cakes sold for​ $25 each, pies sold…

A: Given: 120 items were sold for a total of​ $2,440.   Cakes sold for​ $25 each, pies sold for​ $20…

Q: C1. Let X be a continuous random variable with PDF f(x) = (2-x) for-1 ≤x≤c and f(x) = 0 otherwise.…

A:

Q: In 2011, a record-breaking sandwich was made in Lebanon. The length of the sandwich was 735 meters.…

A: given data one meter =3.3 feet length of the sandwich was =735 meters length of the sandwich in…

Q: A spinner with one blue and one red section is spun. Then a four-sided die with numbers 1 through 4…

A: Introduction: It is required to obtain the sample space, and count the number of possible outcomes.

Q: Exercise 7.3.17 In the city of Nabal, there are three political persuasions, republicans (R),…

A: Given data:   R D N R 15 16 27 D 15 13 47 N 35 12 17

Q: Let n and m be two integers such that n>m>0. If a bit string of length n is randomly selected, what…

A: solution  current answer is option is c  the required probability  = 2^n-m/2^n

Q: Suppose U~ Binomial(n, p) and n > 2. What is P(U > 1)? Select one: O a. O b. (1-p)n-¹[(1 − p) + np]…

A: Given,U~Binomial(n,p)P(U=u)=Cun pu(1-p)n-u      ;  u≥0 Cr=n!(n-r)!×r!n

Q: A company produces scooters used by small businesses that find them convenient for making short…

A: electrical mechanical total plant 1 25 44 69 plant -2 69 62 131 total 94 106 200

Q: The standard error estimate is computed as the square root of the mean squared error and it is a…

A: The correct  option is d. The error  term have constant  variance  .

Q: Do bonds reduce the overall risk of an investment portfolio? Let x be a random variable representing…

A:

Q: If n=26, ¯xx¯(x-bar)=31, and s=8, find the margin of error at a 99% confidence level Give your…

A:

Q: Q20. A popular app, Zolo, has come on the market for streaming pet-friendly music while others in…

A: A percentage is a number or ratio which is expressed in terms of a fraction of 100. In other words,…

Q: x y A random sample of two variables, x and y produced the following observations: 17 8 19 7 13 9 9…

A: Given that We have to find a.. Scatter plot between x and y  b.. correlation coefficient between x…

Q: Please show your work . 9. A man and a woman agree to meet at a certain location about 12:30 PM. If…

A:

Q: The Geom(p) probability mass function (pmf) is given by fY (y) = (1 − p)y−1 p for y ∈ {1, 2, 3, 4, .…

A: It is given that  The Geom(p) probability mass function (pmf) is given byfY (y) = { (1 − p)y−1 p for…

Q: 2. Counting techniques In how many ways can 12 people be seated in a row if there are 6 married…

A: There are 12 peopleso the 12 people can sit 12! waysAnd 6 couple must sit beside each other in…

Q: The following diagram is an example of a positively skewed frequency distribution. The bin with the…

A: Here we have given diagram for positively skewed frequency distribution