A machine is used for a particular job in the forenoon and for a different job inthe afternoon. The joint probability distribution of (X, Y), where X and Y repre-sent the number of times the machine breaks down in the forenoon and in theafternoon respectively, is given in the following table. Examine if X and Y areindependent RVs.X10.10.0410.0610.20.080.120.20.080.12

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Answered: A machine is used for a particular job…

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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On a popular app, users rate hair salons as 1, 2, 3, 4, or 5 stars. Suppose a rating is randomly selected from all the ratings on the app. Let X be the number of stars of the selected rating. Here is the probability distribution of X. 1 2 3 4 5 Value x of X P(X=x) 0.26 0.18 0.09 0.22 0.25 For parts (a) and (b) below, find the probability that the randomly selected hair salon rating has the described number of stars. (a) Fewer than 3: (b) More than 3:0 S W E
A coin is tossed two times. Let X be the number of heads from the first toss and Y the total number of heads from the two tosses. Given that the coin is unbalanced and a head has a 30% chance of appearing, find: a. The joint probability distribution of X and Y (Make sure this is present in your solution file/s) b. The probability that the first toss results to a tail. c. The probability that at least 1 head occurs.
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A rifleman gets 3 hits out of every 10 shots on the average. Assuming that the probability that he gets a hit is constant from shot to shot, and that each shot is independent of every other shot, find the approximate probability that he will get at least 40 hits in his next 100 shots. a. 0.01923 b. 0.18747 c. 0.57477 d. 0.73858
The table shows the probability distribution function for the number of high school years that students at a local high school study a single foreign language. Over the long run, the average number of years that we would expect students at this high school to study a single foreign language is:
Assume that the joint probability of X and Y is represented by the following table: 1 2 3 1 0.32 0.03 0.01 2 0.06 0.24 0.02 3 0.02 0.03 0.27 What are the probability distribution of X and Y? Are they independent?
On a popular app, users rate hair salons as 1, 2, 3, 4, or 5 stars. Suppose a rating is randomly selected from all the ratings on the app. Let X be the number of stars of the selected rating. Here is the probability distribution of X. ck fn Value x of X esc sign. Check P(X=x) 0.25 0.19 0.09 0.21 0.26 For parts (a) and (b) below, find the probability that the randomly selected hair salon rating has the described number of stars. (a) 3 or more: (b) Fewer than 4:0 Ⓡ ntertained Type here to search. ! 7 ? Q A 1 H hp @ Z 2 3 2 W S # 3 x S alt 4 E D $ 4 5 C O B R % LI F 5 X V to 49 T G 6 5 & Y B 99+ 7 H a hp 4+ N 8 Save For Later © 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use Bigh Center & 100 S 19 144 9 M 105 1 > 4 O 1 1 UDOL JKLE 5- tva P { alt + C ? = 7 insert Submit Assignment * } 1 Am QU ortsc E ← pause ▸ ctri 9 9:19 PM 2/21/2023 backspace USE YOUR SMARTPHONE FOR Reviews Videos Feature Specs Support SCA
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The lifespan of a car battery is normally distributed with μ = 5 years and o= 1.2 years. What is the probability that a new battery will last between 7 and 8 year 4.16% 13.74% 2.15% 3.61% New version available! (3.0.286) GET IT NOW
A shipment of 5 television sets contains 2 defective sets. A hotel makes a random purchase of 2 of the sets. If x is the number of defective sets purchased by the hotel, find the probability distribution of X. Express the results graphically as a probability histogram. Find the probability distribution of X. 1 0 2 X f(x) (Type integers or simplified fractions.)
Aiyana has purchased the life insurance policy for her snake for the price of $100 per year and Aiyana will receive $5000 in case if her snake passes away. The insurance company estimated the probability of her snake passing away during the length of the policy to be 0.2%. Let XX be the insurance company's profit. Answer the following questions: 1. Create the probability distribution table for XX : XX outcome profit xx ,$ P(X=x)P(X=x) snake passes away snake survives 2. Use the probability distribution table to find the following: E[X]=μX=E[X]=μX= dollars. (Round the answer to 1 decimal place.) SD[X]=σX=SD[X]=σX= dollars. (Round the answer to 1 decimal place.)
Suppose that the random variable , shown below, represents the number times. P(x) represents the probability of a randomly selected person having received that number of speeding tickets during that period. Use the probability distribution table shown below to answer the following questions. 43 x 0 P(x) 0.2951 0.2587 1 2 0.1924 0.1604 P(x > 0) 0.7049 = 3 4 a) What is the probability that a randomly selected person has received five tickets in a three-year period? P(x = 5) = 0.0442 b) What is the probability that a randomly selected person has received one tickets in a three-year period? P(x = 1) 0.2587 P(x≤1)=1 5 6+ c) What is the probability that that a randomly selected person has received more than zero tickets in a three- year period? 0.0492 0.0442 0.0000 > Next Question d) What is the probability that that a randomly selected person has received one or less tickets in a three-year period? Enter an integer or decimal number [more..]

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