A sample of students without a Scholarship in the school of Business at the University of Delhi is classified according to majors and gender. The data in the table below apply: Determine the probability of the following events: a) Biochemist major. b) Medicine major. c) Male d) Female in Geology Gender MAJORS Medicine Biochemistry Engineering Geology Male 60 80 70 100 Female 30 50 10 20

A sample of students without a Scholarship in the school of Business at the University of Delhi is classified according to majors and gender. The data in the table below apply: Determine the probability of the following events: a) Biochemist major. b) Medicine major. c) Male d) Female in Geology Gender MAJORS Medicine Biochemistry Engineering Geology Male 60 80 70 100 Female 30 50 10 20

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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2. Currently there are 25 secondary schools in Miri including private, technical and vocational. The numbers of teachers in each of these schools are as follows: 135 102 120 120 112 128 104 78 105 114 144 98 90 145 122 148 115 155 68 112 98 88 124 94 90 Assuming the population mean of secondary school teachers is normal, what is the probability that the mean number of secondary school teachers is less than 100?
According to a health publication, 16.5% of persons under the age of 65 have no health insurance coverage. Suppose that four persons under the age of 65 are randomly selected. a. Determine the probability distribution for the number, X, who have no health insurance coverage. b. Determine and interpret the mean of X.
The histogram below gives the length of service of members of the Department of English at a particular university. The classes, in years of service, are 0−−4.9, 5−−9.9, etc., and the vertical axis represents the number of faculty. 1) What percent of the department faculty have less than 15 years of service? 2) If a member of the department is chosen at random to serve on a university committee, what is the probability (in decimal form) that the chosen representitive will have between 5 and 45 years of service? 3) What is the probability the representative above will have less than 20 years of service given that the person has less than 25 years of service?
A survey showed that 76% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If 14 adults are randomly selected, find the probability that at least 13 of them need correction for their eyesight. Is 13 a significantly high number of adults requiring eyesight correction?
Of the last 60 people who went to the cash register at a department store, 13 had blond hair, 19 had black hair, 22 had brown hair, and 6 had red hair. Determine the empirical probability that the next person to come to the register has blond hair.
The following table shows the numbers of patients classified as underweight, normal weight, overweight and obese according to their diabetes status. Underweight Normal Weight Overweight Obese Diabetes 8 34 65 43 No Diabetes 12 85 93 40 What is the probability that a patient selected at random is overweight? Answer: What is the probability that they are obese and diabetic? What proportion of the diabetics are obese?
A social scientist gathers a carefully chosen group of 20 people whom she is selected to represent a broad cross section of the multiple of the population in New York City. She interviews them in depth for a study that she is doing regarding race relations in the city. Is there a probability sample? Explain your answer.
In a recent poll of female college students, 70% stated that they plan to graduate with a STEM degree. A math teacher decides to randomly sample 15 female college students. A. Find the probability that exactly 6 out of the 15 plan to graduate with a STEM degree. B. Find the probability that between 5 and 9 (inclusive) out of the 15 plan to graduate with a STEM degree. C. Find the probability that at least 7 out of the 15 plan to graduate with a STEM degree. D. Find the expected number of female college students out of the 15 that plan to graduate with a STEM degree.
Below are the numbers of patients classified as underweight, normal weight, overweight and obese according to their diabetes status. If a patient is selected at random: What is the probability that they are overweight? What is the probability that they are obese and diabetic? What proportion of the diabetics are obese? What proportion of normal weight patients are not diabetic? What proportion of patients are normal weight or underweight? Underweight Normal Weight Overweight Obese Row Totals Diabetic 8 34 65 43 Not Diabetic 12 85 93 40 Column Totals
The 2015 National Vital Statistics Report provides information on how the nearly four million live births that occurred in 2014 broke down by birth order. Choose at random a baby born in the United States in 2014. Baby's birth order Probability mean = 1 2 0.391 0.319 The few babies who were 9th or more in birth order are included in the "8" birth order group. In 2014, 39.1% of the nearly 4 million live births in the United States were to first-time mothers. 3 5 6 7 4 0.168 0.072 0.028 0.012 0.005 standard deviation = What are the properties of the sampling distribution of the proportion of births to first-time mothers in random samples of 500 births from 2014? (Enter your answer for the mean rounded to three decimal place and your answer for the standard deviation rounded to four decimal places.) 8 0.005
Review the definitions and examples of probability of events and their complementary events. A survey of 451 Salinas residents showed 389 voted in a recent election. When making a selection from the 451 surveyed, what is the probability the person voted in a recent election? When making a selection from the 451 surveyed, what is the probability the person did not vote in a recent election?
A survey showed that 71% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If 8 adults are randomly selected, find the probability that at least 7 of them need correction for their eyesight. Is 7 a significantly high number of adults requiring eyesight correction?