Question: Let p = (p 1 , . . . ,p n ) be a list of probabilities with p 1 + + p n

Let p = (p₁, . . . ,p_n) be a list of probabilities with p₁ +· · ·+ p_n = 1. Write a function coupon(n, p) which generalizes the function, above, and simulates the coupon collector’s problem for unequal probabilities, where the probability of choosing item i is p_i. For n = 52, let p be a list of binomial probabilities with parameters 52 and 1/2. Use your function to simulate the mean and standard deviation of X.

Step by Step Solution

★★★★★

3.39 Rating (152 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Solution a The mean of X is given by The integral over the list is where Px pi x We ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Probability With Applications Questions!

(a) Give a recursive definition for the disjunction of statements p1 p2, . . . , pn, Pn+1 n > 1. (b) Show that if n, r Z+, with n > 3 and 1

Augment the input-output model to include a primary commodity ("labor"). Let a0j denote the labor required to produce one unit of commodity j. Show that there exists a price system p = (p1, p2, . . ....

(a) Prove that the set B = {p0 (x), p1 (x) , . . . , Pn(x)} of Lagrange polynomials is linearly independent in Pn. (b) Deduce that B is a basis for Pn.

A vessel of volume $V^{(0)}$ contains $N^{(0)}$ molecules. Assuming that there is no correlation whatsoever between the locations of the various molecules, calculate the probability, $P(N, V)$,...

BA 1605: Midterm Recap (Due: Feb. 27, 2015) Name _____________________________ 50 Student ID _____________________________ Section 01B 10:00~11:20 am Section 02B 01:00~02:20 pm [Questions 4 ~ 7] The...

Policy Choose two of the above design models, representations or evaluation methods, and explain how they would be done differently. Here is the related facts that might help to solve the problem -...

Question: This example illustrates a fundamental trade-off in the design and implementation of database applications. Discuss. [4 marks] 6 CST.2014.4.7 6 Databases (a) We are given a relational...

We enunciate two results that we can prove using FLT. Theorem 1 Let p and (.1 be two prime numbers such that p 7E q. Let n = pq and 60 = gb(n) = (10 1)(Q 1). If h 2 0 then bka'\"r1 E b (mod n), for...

Attached below are my questions and a pdf file that needs to be read in order to answer the questions. This is a qualitative written response within finance, please provide as much detail as possible...

\fAns : 1 [ ] v = 2 , w= 1 , u= 2 1 2 3 Let a , b R such that av+bw=o >a 2 +b 1 = 0 1 2 0 [ > 2 a+ b = 0 a+2 b 0 >2 a+b=0 a+2 b=0 Solve these two equation we get a=0 , b=0 Thus { v , w } is linearly...

Distinguish between an annuity due and an ordinary annuity.

Give the structure of the principal organic product of each of the following reactions:

28. LO.3 Hank was transferred from Phoenix to North Dakota on March 1 of the current year. He immediately put his home in Phoenix up for rent. The home was rented May 1 to November 30 and was vacant...

6. In kernel regression, what is the effect of using different on bias and variance?

Provide a stem-and-leaf plot of the age at first sperm-positive urine specimen? Pediatrics, Endocrinology A study was performed among 40 boys in a school in Edinburgh to look at the presence of...

What will be the revised sample size estimate in Problem 10.44 if the lack of compliance is taken into account? Investigators expect that not all participants will comply. In particular, they project...

Which nonparametric test should be used to test the hypothesis that the mean SBPs for the two machines are comparable? Hypertension An instrument that is used in some blood-pressure studies is the...

Pt 4 For the following question circle your answers and show all work. Unless otherwise noted, solutions without work or reasoning may not receive credit (unless computation was done on the...

Describe a scenario in which you explain what the raw scores are for an event or situation and then state what z score you would personally like to have for that scenario.The scenario can be grounded...

Year Cash Flow 0 $7,600 1 1,900 2 2,900 3 2,300 4 1,700 Year Cash Flow (A) Cash Flow (B) 0 $45,000 $ 55,000 1 16,000 13,000 2 21,000 15,000 3 15,000 24,000 4 9,000 255,000 2. Calculating Discounted...