1. Consider a weekly lottery where the probability of winning is -week, forever, you will eventually win. But what is the smallest number of weeks you wouldhave to play to have a greater than 50% chance of winning?You may find the following result useful – or you may not need to use it at all (a closelyrelated result was demonstrated in class). If q is a number between 0 and 1, then for any positivevalue of n we have:If you play1,000,000every1- qn+1пΣq*k=0

GivenProbability of winning weekly lottery = 1/1000000 = 0.000001 The probability of not winning the…

Answered: 1. Consider a weekly lottery where the…

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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Given probility A is that a dice will roll on and odd number, and probility B is that a dice will roll on a number less than 4. What is the probability of A given B.I know the answer is 2/3 but I don't know how to calculate that.
A particular gambling game pays 4 to 1 and has a 20% chance to win. Someone will bet $10, 125 times, and keep track of the total amount won or lost. Which of the following boxes will produce the right answers? Check ALL answers that apply. a. 1 ticket labeled $10 and 4 tickets labeled -$10 b. 20 tickets labeled $10 and 80 tickets labeled -$10 c. 20 tickets labeled 1 and 80 tickets labeled 0 d. 1 ticket labeled $40 and 4 tickets labeled -$10 e. 20 tickets labeled $40 and 80 tickets labeled -$10 f. 1 ticket labeled 1 and 4 tickets labeled 0
Sheila is conducting an experiment in which she is rolling a die. After rolling the die 90 times, she has collected the following data. Based on theoretical probability, she was expecting the die to land on each number 15 times. Sheila then remembered that experimental probability does not always equal theoretical probability, but it should approach it the more times an experiment is run. Sheila ran the experiment again rolling the die 180 times. For the 180 rolls of the die, she noticed that all of the frequencies were at most 20% away from what was expected based on the theoretical probability. She then combined the two data sets for a total of 270 rolls of the die. The minimum frequency that she could have obtained from any number in the combined data set is :______________ and the maximum frequency she could have obtained from any number is: _______________
Consider the list of numbers 1,2,3. The following table includes the 9 possible combinations of choosing two numbers, with replacement, from this list. The sample means for each combination have already been calculated. Sample Sample Mean T 1, 1 1 1, 2 1.5 1, 3 2 2, 1 1.5 2, 2 2 2, 3 2.5 3, 1 3, 2 2.5 3, 3 Use the table above to construct a probability distribution. Sample Mean I Frequency P(z) 1 1.5 2.5 2) 3.
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If someone were to bet $1 on the second dozen numbers (which pays 2 to 1) in the game of roulette 33 seperate times, what is the chance that they would end up losing money?
The fractions of colors in a population of squirrels is 0.73 red and 0.27 black. If two are chosen at random, what are the chances they have the same color? Give two digits past decimal.
Answer the following. If a die is rolled, find the probabilities. A. Of getting a 4 B. Of getting an even number C. Of getting a number greater than 4
Chris has just received test results from a patient named Cardi who is infected with a mystery disease. The accuracy of the test is as follows:The probability the test will be positive if Cardi is infected is p, and the probability the test will be positive if Cardi is not infected is q. The proportion of the population that is infected is π. The test comes back positive. Chris has no information about the disease and related symptoms. Suppose Chris does not have a true gasp of the base rates. Chris thinks that the base rate is γπ (gamma*pi), with γ is less than or equal to π. This is to make sure that Chris's belief about the prevalance of the mystery disease is no more than 100%. If p=0.95, 1=0.05, π=1, what must be the value of γ if Chris thinks that the probability Cardi has the disease is 0.9? A. 3.57 B. 0.5 C. 1.05 D. 3.214 Please provide explanation
Each person has I 75% probability of going to ches Tahoe restaurant. You randomly select 8people. a.What is the probability that 5 people will not go to the restaurant? b. You ramdomly select 50 people.use normal approximation to find the probability that at least 35people will go to the restaurant. Solve it by binomial.
1. If a die is rolled, find out the following: (i) The probability of getting an even number (ii) The probability of getting a 4 2. If two dice are rolled, then find out the following: (i) The probability that the sum is equal to 9 (ii) The probability that the sum is equal to 7 If a card is drawn at random from a pack of 52 cards, then find out the following: (1) P(Ace or Red) (ii) P(Non Black or Ace) 3. 4. A Jar contains 3 red, 4 green and 3 blue balls. If two balls are chosen at random from the Jar, Find out the following: (i) The probability that they are red or green. (ii) The probability that they are blue or red. 5. If three coins are tossed, then find out the following- (i) Probability of getting two tails (ii) Probability of getting three heads 6. Of the cars on a used car lot, 70% have CD player (CD) and 30% have air conditioning (AC). 10% of the cars have both. (i) What is the probability that a car has 'No AC', given that it has 'CD'? (ii) What is the probability that a car…

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