Coin flip experiment: Use random.uniform() to generate output [Heads, Tail] of a coin flipexperiment.a) Estimate the probability of heads in a fair coin flip by generating a lot of instances ofexperiment.b) Estimate the probability of heads in a biased coin flip with a bias of 0.8, and find thenumber of heads and tails in a random experiment.c) Plot/Display estimate as a function of number of experiments (n) and argue how do youdecide how many times you need to repeat the experiment to get a good estimate.

Coin flip experiment: Use random.uniform() to generate output [Heads, Tail] of a coin flip…

Answered: Coin flip experiment: Use…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In a class of 50 students, every student took a certain a test which was out of 100 marks. Among all the students, 40% of them got 80, 30% of them got 72, 20% of them got 61 and rest of them got 53 marks. i. What is the expected mark of a student taking that test? ii. What is the expected mark of a student if he/she takes the test thrice? iii.What is the variance of marks of a student?
A die has the numbers 1, 2, 2, 3, 3, 3 on its six sides. If the dies is rolled, what is the expected valueand variance of the number showing
A fair die is rolled ten times and each time the face-up is recorded. Let X be the number of times a number less than 3 has been recorded. a) what is the "state space"? b) what is the variance?
Assortative Mating: Assortative mating is a nonrandom mating pattern where individuals with similar genotypes and/or phenotypes mate with one another more frequently than what would be expected under a random mating pattern. Researchers studying this topic collected data on eye colors of 208 Scandinavian men and their female partners. The table below summarizes the results (rows represent male eye color while columns represent female eye color). For simplicity, we only include heterosexual relationships in this exercise. (Round any numerical answers to 4 decimal places if possible.) Male Blue Male Brown Male Green Total Fem Blue 52 14 14 80 Fem Brown 30 20 13 63 Fem Green 19 17 X 29 65 Total 101 51 56 208 a) What is the probability that a randomly chosen male respondent or his partner has blue eyes? b) What is the probability that a randomly chosen female respondent has blue eyes given that her partner has blue eyes? c) What is the probability that a randomly chosen female respondent…
Find the probability that the sample mean of Xbar = 20 hours, as observed here, less than or equal 20 hours could arise if the true mean of the lot
A random variable has CDF What is p₂? F₁ = 0.25, 1, 0, 1, 2 i = 3
Explain the difference between a stratified sample and a cluster sample. (Select all that apply.) In a stratified sample, random samples from each strata are included In a stratified sample, every sample of size n has an equal chance of being included. In a stratified sample, the clusters to be included are selected at random and then all members of each selected cluster are included In a cluster sample, every sample of size n has an equal chance of being included. In a stratified sample, the only samples possible are those including every kth item from the random starting position In a cluster sample, the only samples possible are those including every kth item from the random starting position In a cluster sample, the clusters to be included are selected at random and then all members of each selected cluster are included. In a cluster sample, random les from each strata are included.
Q1: Exercises (Week 6) ‘Fit Camp’ is an intensive month-long programme of diet and exercise. Evidence shows that people who register for the programme and complete it see very satisfactory results. However, the regime is gruelling and experience dictates that 70% of people who register for the programme give up in the first 2 weeks. On a particular day, six people register for the programme. This can be thought of as a random sample. a) What is the probability that at least two of the six will give up in the first 2 weeks? b) What is the probability that at least two of the six will not give up in the first 2 weeks? Q2: Automobile Association records indicate that, on average, 3.2 breakdowns per day occur on a particular section of a UK motorway during the morning rush hour. Assume that the distribution is Poisson. a) Find the probability that on any given day there will be fewer than two breakdowns on this section of motorway during the morning rush hour. b) Find…
Use Table, to draw a random sample (without replacement) of size 5 from a population of 24 units.
1
II. Supply the table with the corresponding random variable and/or the possible values of the random variable for each experiment. Possible values (x) for the Experiment Random Variable (X) Random Variable Number of customers who 1. Contacting 10 customers 0, 1, 2, 3, 4,5 placed a complaint 2. Inspection of shipment of 100 laptops 3. Filling a bottle of water (maximum of 500 mL) 0, 1,2, .,99, 100 0sxs 500 The temperature when the desired reaction takes place (minimum of 40°C; maximum of 90* C) 4. Testing of new chemical process 5. Selling an automobile O if male; 1 if female
The table below shows a random sample of musicians and how they learned to play their instruments. Gender Self-taught Studied in School Private Instruction Total Female 1313 3131 1515 5959 Male 1717 2323 1515 5555 Total 3030 5454 3030 114114 (a) Find P(musician is a female)Pmusician is a female. Enter the exact answer.P(musician is a female)=Pmusician is a female= (b) Find P(musician is a male AND had private instruction)Pmusician is a male AND had private instruction.Enter the exact answer.P(musician is a male AND had private instruction)=Pmusician is a male AND had private instruction= (c) Find P(musician is a female OR is self taught)Pmusician is a female OR is self taught.Enter the exact answer.P(musician is a female OR is self taught)=Pmusician is a female OR is self taught= (d)Are the events "being a female musician" and "studying music in school" mutually exclusive events? Yes, they are mutually exclusive events. No, they are…

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