Let S = {E1, E2, E3, EA} be the sample space of an experiment and let= {E1, E2}. B = {E2, E3}, and C =of the sample points are assigned as follows: P(E)P(E3) = 0.30, and P(E4) = 0.40. Find P(AU B).{Es, E,} be events from S. The probabilities0.10. P(E2) = 0.20,A =%3DSelect one:O a. 0.60b. 0.20O c. 0.90O d. 0.30e. 0.70

We want to find union probability of a or b

Answered: Let S = {E1, E2, E3, EA} be the sample…

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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Part I: Sections 1.1 - 1.5 4. A flower garden has 40 flowers: 10 yellow, 5 white, 8 red, and 17 pink. Assume that 3 flowers are randomly selected. If the sampling is done with replacement, what is the (a) probability that the first two flowers are pink and the last flower is yellow? (b) probability that at least one of the flowers is red? If the sampling is done without replacement, what is the
Q1) Below find the records of 12 randomly selected used pickup trucks (none used commercially) and 11 randomly selected used passenger cars, the time (in years) that they were kept by the original owner before being sold: Used pickup trucks | 3 | 2.5 2.9 5 4.2 3.1 3.3 4 5.3 3.8 4.5 Used passenger cars | 2.2 3 2.8 4.3 4 3.3 2.9 2.1 2 3.1 3 It is known that the standard deviation of used pickup trucks is 2 years and of used passenger cars is 1 year. (a) Investigate, at the 5% significant level, whether the mean time (in years) that used pickup trucks were kept by the original owner before sold is larger than used passenger cars. (b) What assumption is needed to perform the test in (a). (c) Construct the 96% confidence interval for the mean difference of time (in years) were kept by the original owner before sold between used passenger cars and used pickup trucks. Use this confidence interval to tell whether there is difference in the mean time (in years) between these 2 tynes of…
2. In a population it is estimated that 20% have a desired trait of interest for the researcher. The researcher wants to know how many people on average he has to draw from a population to get 2 people with the trait. Use rows 20-24 of the Random Number Table to carry out the simulation. Explain clearly how you set up the problem and report your findings. Answer:
Of the 30 college students who visited the campus health center yesterday, 9 received prescriptions while the remaining 21 did not. The following table further categorizes these 30 students by gender: Male Female Prescription P 6 3 No Prescription N 12 9 1- Using these data, estimate P(N) and P(F). 2- Estimate P(N and F). 3- Based on (1), what would the answer to (2) have been if the events N and F were independent? Are N and F independent? Explain
Q3 i): A survey of 500 randomly chosenindividualsis conducted. The individuals are askedto nametheir faxorite sport. The STATISTIX pie chart inthe following figure summarizesthe results of this survey Other (5.0%)- Hockey (10.0%)- -Baseball (30.0%) Golf (10.0%)- Footbal (25.0%)- -Basketbal (20.0%) Fig. 2-11 STATISTIX pie chart La) How many individuals inthe 500 gave baseball astheirfavorite sport? (b) How mary gave a sport other than basketball as their favorite sport? L) How many gave hockey or golf astheir favorite sport? ii) Thefollowing table gives the frequency distribution for the cholesterol values of 45 patients ina cardiacrehabilitation study. Givethe IgweLandupper class limits and boundaries as well asthe class marks for each class Chalastarol vala Fraquancy 170 to 189 190 to 209 10 210 to 229 17 230 to 249 13 250 to 269
14 of 2 1) Listen A group of children played a balloon dart game at the county fair. The children took turns at the game, and the first 9 players scored 230, 540, 420, 430, 540, 560, 275, 50, 250 Joey is the 10th player, and his score is recorded with the first 9 scores after his turn, If Joey wants his score to be higher than the 70th percentile of all 10 scores, at least how many points does Joey need to score? Enter your answer as a number, like this: 42 GeoGebra Graphing Calculator Next MacBook Air DD F12 F11 F10 吕0 88 F8 F7 F5 F4 F3 F2 F1 %23 $ % 云。
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Suppose that we have a sample space with five equally likely experimental outcomes: E1, E2, E3, E4, E5. Let A = {E1, E4} B = {E2, E3} C = {E2, E4, E5}. (a) Find P(A), P(B), and P(C). P(A) = P(B) = P(C) = (b) Find P(A ∪ B). P(A ∪ B) = Are A and B mutually exclusive? They mutually exclusive. (c) Find AC. (Enter your answer in set notation.) AC = Find CC. (Enter your answer in set notation.) CC = Find P(AC) and P(CC). P(AC) = P(CC) = (d) Find A ∪ BC. (Enter your answer in set notation.) A ∪ BC = Find P(A ∪ BC). P(A ∪ BC) = (e) Find P(B ∪ C). P(B ∪ C) =
Two computer companies are offering new software to universities. Let X and Y denote the number of software installed in three major universities by these two companies. Suppose that the variance of X is 583, the variance of Y is 752, and the covariance of X and Y is 179. a) Calculate the correlation coefficient (p) Select one: a. o.825 b. 0.270 c. 0.532 d. None of the answers
(b)A random sample of twelve students were chosen, and their midterm test score ( y), assignment score (x1), and missed classes (x2) were recorded as follows: Midterm Score, y Assignment Score, x1 Classes Missed, x2 85 65 8 74 50 7 76 55 5 90 65 2 85 55 6 87 70 3 94 65 2 98 70 5 81 55 4 91 70 3 76 50 1 74 55 4 (i)What is the fitted multiple linear regression equation of the form ˆy = b0 + b1x1 + b2x2? (ii)From part 6(b)(i) above, estimate the midterm test score grade for a student who has an assignment score of 60 and missed 4 classes. (iii)Assume that the data on ( y, x1, x2) above in 6(b) is inputted into SPSS, with the following results: ANOVA Source SS df MS F…

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