1. The sample shows the possible sequences for flipping three fair coins or flipping one coin three times,where H stands for heads and T stands for tails.ННННТНTTTTTНTНTHHΤHΤTTHDescribe in words the events specified by the following subsets.(а) А %3D {ННН, ННТ, НТH, ТHн}(b) В %3 {ННН, Т}(с) С%3D {ННТ, НTH,THH}( d ) D-{HHT, HTΗ, HT, ΤHH, THT, TTH, TT}2. The sample shows the possible sequences for flipping three fair coins or flipping one coin three times,where H stands for heads and T stands for tails.НННННТНTT TTTHTHΤΗΤTHΗTTHAssume that all of the 8 outcomes are equally likely. Find the probability of having exactly the followingnumbers of heads out of the 3 coins:1Homework - 4(a) exactly 0 heads,(b) exactly 1 head,(c) exactly 2 heads,(d) exactly 3 heads.(e) What do the four probabilities add up to and why?

Since you have asked multiple questions, we will solve the first question for you. If you want any…

Answered: 1. The sample shows the possible…

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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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…
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Two dice have been thrown 360 times and each time the sum of the numbers on top of both dice have been recorded. The result of the experiment is summarized in the table below with all possible sums on the first row and their observed and expected (in brackets) frequencies on the second row: Sums on top 2 3 4 Frequencies 6 8. 9 10 8 23 29 43 11 12 55 62 47 36 (10) (20) (30) (40) (50) (60) 31 19 7. (50) (40) (30) (20) (10) Check if the dice were fair. Assume that the Central limit theorem conditions are satisfied. Use a level of significance of 0.05. Hint: Use Goodness- of-Fit test, hypothesize, calculate the test statistic, find p-value graphically, interpret and conclude. Consider the dice were unfair if observed frequencies were too different from expected frequencies.
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None
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