Nationally, 38% of fourth-graders cannot read an age-appropriate book. The following data show the number of children, by age, identified as learning disabled under special education. Most of these children have reading problems that should be identified and corrected before third grade. Current federal law prohibits most children from receiving extra help from special education programs until they fall behind by approximately two years’ worth of learning, and that typically means third grade or later (USA Today, September 6, 2001). Age Number of Children 6 37,369 7 87,436 8 160,840 9 239,719 10 286,719 11 306,533 12 310,787 13 302,604 14 289,168 Suppose that we want to select a sample of children identified as learning disabled under special education for a program designed to improve reading ability. Let x be a random variable indicating the age of one randomly selected child. Question Show that the probability distribution satisfies equations Equation which is f(x) ≥ 0 and Equation which is Σ f(x) = 1.

Nationally, 38% of fourth-graders cannot read an age-appropriate book. The following data show the number of children, by age, identified as learning disabled under special education. Most of these children have reading problems that should be identified and corrected before third grade. Current federal law prohibits most children from receiving extra help from special education programs until they fall behind by approximately two years’ worth of learning, and that typically means third grade or later (USA Today, September 6, 2001). Age Number of Children 6 37,369 7 87,436 8 160,840 9 239,719 10 286,719 11 306,533 12 310,787 13 302,604 14 289,168 Suppose that we want to select a sample of children identified as learning disabled under special education for a program designed to improve reading ability. Let x be a random variable indicating the age of one randomly selected child. Question Show that the probability distribution satisfies equations Equation which is f(x) ≥ 0 and Equation which is Σ f(x) = 1.

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 Bureau of Labor Statistics reports on a variety of employment statistics. "College Enrollment and Work Activity of 2004 High School Graduates" provides information on high school graduates by gender, by race, and by labor force participation as of October 2004.³ (All numbers are in thousands.) The following two tables provide information on the “Labor force status of persons 16 to 24 years old by educational attainment and gender, October 2004." Using the information contained in the tables, do Exercises 4.58 through 4.62. OS LabForce Women, Age 16 to 24 < High School HS degree Some college Civilian Labor Force Employed Unemployed 662 2,050 1,352 Bachelors degree or more 921 Column Total 4,985 For Males: P{CLF | HSD} P{CLF | BD} 205 334 126 Click here for the Excel Data File 55 720 For Females: P{EMPI (CLF and HSD)} P{EMP | (CLF and BDM)} P{CLF | HSD} P{CLF | BD} Not in Labor Force 759 881 321 105 2,066 P{EMPI (CLF and HSD)} P{EMPI (CLF and BDM)} Row Total 1,626 3,265 1,799…
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A research wants to determine if pre-natal exposure to the hormones in birth control pills alters the sex makeup of midshipman fish populations (which are typically half male and half female).Specifically, the researcher wishes to test the hypothesis that exposure to hormones will increase the number of females in the population.The researcher exposes a group of pregnant midshipman fish to birth control hormones and records the sex of the first 19 offspring birthed.They then observe that 13 are female.Use a sign test to test the indicated hypothesis.What is the obtained value?
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Nationally, 38% of fourth-graders cannot read an age-appropriate book. The following data show the number of children, by age, identified as learning disabled under special education. Most of these children have reading problems that should be identified and corrected before third grade. Current federal law prohibits most children from receiving extra help from special education programs until they fall behind by approximately two years’ worth of learning, and that typically means third grade or later (USA Today, September 6, 2001).
	Age	Number of Children
	6	37,369
	7	87,436
	8	160,840
	9	239,719
	10	286,719
	11	306,533
	12	310,787
	13	302,604
	14	289,168
Suppose that we want to select a sample of children identified as learning disabled under special education for a program designed to improve reading ability. Let x be a random variable indicating the age of one randomly selected child.