58. Suppose the grade distribution on a Calculus I exam were as follows: 20% of students earned an A, 35%earned a B, 30% earned a C, 10% earned a D, and 5% earned an F.Now, suppose 10 Calculus I students are selected at random. and let X, denote the number of studentsearning grade i for i = 1, 2, 3, 4, 5.Then X₁,..., X5 are jointly distributed.(a) How are (X₁,..., X5) distributed (include parameters)? Explain your answer.(b) Find the probability that there are 3 As, 3 Bs, 3 Cs, and 1 D among the 10 selected students.

Given the grade distribution on a Calculus I exam as follows Grade Proportion A 20% B 35% C…

Answered: Suppose the grade distribution on a…

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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Surveys were distributed to 1,085 adults asking, “Do you enjoy shopping for clothing for yourself?” The results indicated that 51% of the females enjoyed shopping for clothing for themselves as compared to 44% of the males. The sample sizes of males and females were not provided. Suppose that the results were shown in the following table: ENJOYS SHOPPING GENDER FOR CLOTHING Male Female Total Yes 238 276 514 No 304 267 571 Total 542 543 1,085 (a) Suppose that the respondent chosen is a female. What is the probability that she does not enjoy shopping for clothing? (b) Suppose that the respondent chosen enjoys shopping for clothing. What is the probability that the individual is a male? (c) Are enjoying shopping for clothing and the gender of the individual independent? Explain.
A special education teacher did research on whether or not there is a relationship between the number of students in his class and the number incidents of “acting out” behaviors exhibited by the autistic students in the classroom. He collects data for a year and aggregates them by month. He obtained the statistics below, r= -.863 R2=.74 b= -1.212294 a= 131.176598 10.) How does the presence of more students affect the incidents in the class? a) as students are added the incidences increase b) as students are added the incidences decrease c) the number of students does not affect acting out d) the number of students caused more incidents How much of the variability of acting out is explained by the number of students in the class?___________
A population consists of the following 6 values: {10, 20, 30, 40, 50, 60}. A sample of size 3 will be chosen from this population without replacement and the median of the sample will be computed: { (0.5 (£n/2 + £n/2+1) m = x(n+1)/2 n odd n even In other words, in a sample of size n = 3 ordered from smallest to largest the median is the 2nd number. The median of a discrete random variable, μ, is defined as the value of such that and P(X M) ≤ 0.5 Determine the median of the population. Think of the population as an equally likely sample space. Determine the sampling distribution of the sample median, m for this population by (1) identifying all possible samples (how many are there?), (2) calculating the median in each sample and (3) using that to determine the probability of each median. Calculate E (m) Determine the standard error or the sample median
The customer service department of a phone company is experimenting with two different systems. On Monday they try the first system which is based on an automated menu system. On Tuesday they try the second system in which each caller is immediately connected with a live agent. A quality control manager selects a sample of seven calls each day. He records the time for each customer to have his or her question answered. The times(in minutes) are listed below. Find the coefficient of variation for each of the two sets of data, then compare the variation. Round results to one decimal place. Automated Menu 5.5 7.4 3.9 2.9 9.2 6.3 11.7 Live agent 6.2 2.9 4.4 4.1 3.4 5.2 3.7 Automated Menu:_____%Live agent:_____%(choose the correct one) A)There is substantially more variation in the times for the automated menu system B) There is substantially more variation in the times for the live agent
Below are bivariate data giving birthrate and life expectancy information for each of twelve countries. For each of the countries, both the number of births x per one thousand people in the population and the female life expectancy y (in years) are given. These data are displayed in the Figure 1 scatter plot. Also given is the product of the birthrate and the female life expectancy for each of the twelve countries. (These products, written in the column labelled "xy", may aid in calculations.) Birthrate, x (number of births per 1000 pop.) Female life expectancy, y (in years) 41.3 15.6 52.1 32.0 47.0 49.7 27.2 19.8 13.3 24.6 36.4 49.4 Send data to calculator 66.8 76.7 60.5 62.2 58.9 53.4 71.2 72.8 73.9 74.3 66.2 63.0 xy 2758.84 1196.52 3152.05 1990.4 2768.3 2653.98 1936.64 1441.44 982.87 1827.78 2409.68 3112.2 Female life expectancy (in years) Figure 1 85- ^y 80- 75- 70- 65_ 60 55 1/46 15 20 25 30 35 40 45 50 55 60 Birthrate (number of births per 1000 pop.) What is the sample…
Answer to number 9 (a,b,c,d)
A researcher is interested in the relationship between birth order and personality (outgoing versus reserved). A sample of n = 100 people is obtained, all of whom grew up in families as one of three children. Each person is given a personality test, and the researcher also records the person’s birth-order position (1st born, 2nd, or 3rd). The frequencies from this study are shown in the following table. On the basis of these data, can the researcher conclude that there is a significant relation between birth order and personality? Test at the .05 level of significance. 1st 2nd 3rd Outgoing 13 31 16 Reserved 17 19 4
A recent poll indicates that 48% of all registered voters in America plan to vote for a specific candidate in the upcoming presidential election. Suppose a random sample of 20 Americans is taken. Let X represent the sample count who plan to vote for the candidate. What is P(X≠5)?
Find the number of ways in which one A, three B’s, two C’s, and one F can be distributed among seven stu-dents taking a course in statistics.
Suppose a researcher is interested in examining the relationship between a person's gender and whether he or she likes the taste of Vegemite (a dark- brown food paste, made from yeast, that is popular in Australia). She collects a sample of n = 10 people and asks them whether they like the taste of Vegemite. The following table summarizes the results. Male Female Does Not Like the Taste of Vegemite 4 1 Likes the Taste of Vegemite 2 3 The researcher wants to calculate the correlation between a person's gender and whether he or she likes the taste of Vegemite. To do so, the researcher first creates a table of the data by converting each variable to a numerical value. She assigns 0 to "male" and 1 to "female." She then assigns 0 to "does not like the taste of Vegemite" and 1 to "likes the taste of Vegemite."
The question is in the attachment

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