Q3/ In a cement store there are (750) bags, (400) of which are salt-resistant, (200) of them are unusable, and half of the unusableis of the salt- resistant type, when one bag is randomly withdrawn from the store found :1- Prob that it may be salt- resistant and unusable ?2- Prob that it may be usable if it is salt- resistant ?3- Prob that it may be resistant to salt if it is not usable ?4- Prob that it may be unusable if it is salt- resistant ?

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Answered: Q3/ In a cement store there are (750)…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The executives of an accounting firm plan to survey a random sample of clients to determine how satisfied they are with the service they have received. Of the firm's 5412 regular clients, 500 are surveyed and 435 claim to be very satisfied with the service they have received. The sample is the: 5412 regular clients. 500 clients surveyed. 65 clients that were not satisfied. 435 satisfied clients.
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…
A friend of mine is giving a dinner party. His current wine supply includes 7 bottles of zinfandel, 11 of merlot, and 13 of cabernet (he only drinks red wine), all from different wineries. (a) If he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? (b) If 6 bottles of wine are to be randomly selected from the 31 for serving, how many ways are there to do this? (c) If 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? (d) If 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (Round your answer to three decimal places.) (e) If 6 bottles are randomly selected, what is the probability that all of them are the same variety? (Round your answer to three decimal places.)
Alcohol and estrogen After menopause, some womentake supplemental estrogen. There is some concern thatif these women also drink alcohol, their estrogen levelswill rise too high. Twelve volunteers who were receivingsupplemental estrogen were randomly divided into twogroups, as were 12 other volunteers not on estrogen. Ineach case, one group drank an alcoholic beverage, theother a nonalcoholic beverage. An hour later, everyone’sestrogen level was checked. Only those on supplementalestrogen who drank alcohol showed a marked increase.
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A dairy farmer thinks that the average weight gain of his cows depends on two factors: the type of grain that they are fed and the type of grass that they are fed. The dairy farmer has four different types of grain from which to choose and three different types of grass from which to choose. He would like to determine if there is a particular combination of grain and grass that would lead to the greatest weight gain on average for his cows. He randomly selects three one-year-old cows and assigns them to each of the possible combinations of grain and grass. After one year he records the weight gain for each cow (in pounds) with the following results. Is there sufficient evidence to conclude that there is a significant difference in the average weight gains among the cows for the different types of grain? Cow Weight Gain (Pounds) Grass A Grass B Grass B Grain A 359359 327327 232232 277277 250250 163163 191191 304304 216216 Grain B 331331 348348 176176 318318 205205…
What is B0,B1, B2,B3
A researcher is interested in understanding if there is a difference in the proportion of undergrad and grad students at UCI who prefer online teaching to in person teaching, at the a = 0.05 level. They take 2 samples, first, a sample of 300 undergrad students. The second, is a sample of 172 grad students. Of the undergrads, 186 said they preferred online lectures, and of the graduate students, 104 said that they prefer online lectures. Let p₁ = the proportion of undergrad students who prefer online class and p2 = the proportion of grad students who prefer online lectures. (a) Set up the null and alternative hypothesis (using mathematical notation/numbers AND interpret them in context of the problem). (b) Calculate the test statistic. (c) Calculate the critical value. (d) Draw a picture of the distribution of the test statistic under Ho. Label and provide values for the critical value and the test statistic, and shade the critical region. (e) Make and justify a statistical decision at…
n a big university with over 10,000 students, 20% of all students work full time. A random sample of 100 students is selected from the university. Let X denote the number of students who work full time in the sample. b) Find ?(? = 20) c) Find ?(? ≤ 20) d) Find ?(? ≥ 20) Can you explain how you got them using work?
A gray mouse has a 30% chance of stealing cheese from a mousetrap without getting caught, while a white mouse has a 10% chance of succeeding at that. If 15 gray mice and 17 white mice try to steal cheese from different traps, how many pieces of cheese would you expect them to get away with? (А) 1.7 (B) 7.65 (C) 3.2 (D) 6.4 (E) 4.5 (F) 9.6 (G) 12.8 (Н) 6.2

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