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A statistics course has seven male and three female students. The professor wants to select two students at random to help her conduct a research project. What is the probability that the two students chosen are female?


Heights of the students in a class are given in the distribution below:




5' - 5'2"      10




5'2" - 5'4" 40




5'4" - 5'6"   25 .




Find:




1. Central Tendency






Given 𝜇=72; and 𝜎=8, find the z-score that corresponds to each of the following scores up to two decimal places. 


Given 𝜇=72; and 𝜎=8, find the z-score that corresponds to each of the following scores up to two decimal place




Identify the random sampling technique used in each item.


________________1. You are given a list of all graduating students in your school. You decide to survey every 10th student on the list and ask them the organization that they belong.


________________2. You wish to make a comparison of the gender differences in Mathematics performance. You divide the population into two groups, male and female, and randomly pick respondents from each of the group. ________________3. You assign numbers to the members of the population and then use draw lots to obtain your samples to answeryour survey on the most popular festivals in the country.


________________4. You randomly pick five out of fifteen barangays to conduct your survey in your municipality or city about their best environment-friendly practices.


________________5. You write the names of each student in pieces of paper, shuffles, and then draw eight names to answer a survey on their ethical media practices

solve the D.E dy/dx = (6x^5-2x+1)/(cosy+e^y)


On a final examination in mathematics, the mean was 76 and the standard deviation was 5. Determine the



standard score of a student who received a score of 88 assuming the scores are normally distributed

let ck>0 for k=1,2,....,n.show that( c1+c2+....cn)/√n≤[ c1^2+c2^2+....+cn^2]^1/2≤c1+c2+...+cn


On a final examination in mathematics, the mean was 76 and the standard deviation was 5. Determine the




standard score of a student who received a score of 88 assuming the scores are normally distributed. (

Find all real numbers x such that


1<x^2<4

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