a) The answer to the question "What is the probability that in a random draw of five cards from adeck, all of them are spades?" was given in the lecture as C₁3,5/C52.5. A student objected, andsaid that the probability of drawing the first spade is, drawing a spade again is, and soforth, so that the probability of drawing five spades is 1052 51 50 49 48What do you say?

Given that: Total number of cards in a deck, n=52 Number of spades, m=13 Number of cards drawn…

Answered: a) The answer to the question "What is…

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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A box of shoes contains a random mix of shoes that can be either left or right and can also be either red or black. Note: they are not in matched-pairs! The probability of a shoe being both left-footed and black is 0.35. The probability of a shoe being black is 0.59 and the probability of a shoe being right-footed is 0.36. a) a. What is the probability of a shoe being red? b. What is the probability of a shoe being right-footed and black? C. What is the probability of a shoe being right-footed and red? d. What is the probability of a shoe being left-footed and red? b) = c) = d) =
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The weight of boxes of candy is a normal random variable with mean u and variance 1/10 pound. The prior distribution for µ is normal with mean 5.03 pound and variance 1/25 pound. A random sample of 10 boxes gives a sample mean of x=5.05 pounds. (a) Find the Bayes estimate of u. (b) Compare the Bayes estimate with the maximum likelihood estimate.
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B) C) Suppose the probability of a dropped cell phone call is 0.05. What is the probability that exactly 2 out of the next 20 calls placed on a cell phone will drop? Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a 0.925 b d 0.075 e 0.567 0.736 Suppose the probability of a dropped cell phone call is 0.05. What is the probability that exactly 2 out of the next 20 calls placed on a cell phone will drop? Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. 0.189 a 0.925 b 0.736 с 0.189 d 0.075 a b According to Auto World Magazine, 18.8% of luxury cars are silver. A large car dealership typically sells 50 luxury cars a month. If X represents the number of silver luxury cars sold in a typical month and the model is Binomial, what is the expected value of X? Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. с d 0.567 7.63 9.4 40.6 2.76…
d) Find P(Rents | Cat)e) Is the probability of renting an apartment independent of having a dog? Show the work that led to your answer
6.) The National Spinal Cord Injury Statistical Center reports that 45% of all spinal cord injuries are caused by vehicle crashes. Suppose that we choose 15 spinal cord injuries at random.a.) What is the probability that 8 of the chosen injuries are from vehicle crashes? (Usethe formula)b.) What is the probability that fewer than 5 of the chosen injuries are from vehiclecrashes? (Use the calculator)c.) What is the probability that more than 9 of the chosen injuries are from vehiclecrashes? (Use the calculator)d.) What is the probability that between 4 and 10 of the chosen injuries are from vehiclecrashes? (Use the calculator)e.) What is the expected number of such injuries to result from vehicle crashes?f.) What is the standard deviation of the number of injuries resulting from vehiclecrashes?
The probability of visiting the zoo is 0.80. The probability of visiting the caverns is 0.55. The probability of visiting both is 0.42. What is the probability of the visiting the zoo or the caverns? 1) 0.93 2) 0.44 3) 1.35 4) 0
a survey conducted about 15% of the people having hearing trouble in texas.a sample of 111 people what is the probability that a t most 9% having hearing trouble.
1. The theoretical driving test currently consists of 50 questions, each with 4 options, of which only one answer is correct. To pass, at least 41 questions must be answered correctly. Johnny goes to the exam unprepared and guesses the answer to every question. a. What is the probability of Johnny giving exactly 11 correct answers? b. What is the probability of Johnny giving at most 7 correct answers? c. What is the probability of Johnny giving less than 10 correct answers? d. What is the probability that Johnny passes on the exam? e. Calculate the probability that Johnny answers at least 5 and at most 15 questions correctly. f. Determine the expectation and the standard deviation of the number of questions that are correctly answered by Johnny. 2

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