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The average hour spent in computer by 20 senior high school students during online class is 7 hours with a standard deviation of 2 hours. Construct a 98% confidence interval of the average hour spent by all senior high school students. Identify the width of the interval.


a survey unofficially claimed that in every five (5) young executives , only one (1) practices good reading habits.

what is the probability that out of 10 10 young executives , two executives practice good reading habits


To the right of z = 0.3 *

Let X and Y be two independent, nonnegative integer-valued random variables whose distribution has the property



P( X=x|X+Y=x+y)= binom m x binom n y binom m+n x+y



for all nonnegative integers x and y where m and n are given positive integers. Assume that P(X = 0) and P(Y = 0) are strictly positive. Show that both X and Y have binomial distributions with the same parameter p, the other parameters being m and n respectively.




Given: Population (6,7,8,9 and 10)




A sample of size 2 is to be Taken from this population.




a. How many samples are possible?



b. Construct sampling distribution of the sample means

In a job fair 4000 applicants applied for a job. Their mean age was found to be with standard deviation of 4 years?





Draw a normal curve distribution showing the z score and the raw scores.

Each month, a Filipino household generates an average of 28 pounds of newspaper for garbage or recycling. Assume the standard deviation is 2 pounds. If a household is selected at random, find the probability of its generating more than 31 pounds. (

Each month, a Filipino household generates an average of 28 pounds of newspaper for garbage or recycling. Assume the standard deviation is 2 pounds. If a household is selected at random, find the probability of its generating more than 31 pounds. (

Find the expected value of the random variable X and its variance having the following density function details explanation

                                   f(x) = 5 (1-x4)         0<x<2

                                         = 0                   elsewhere


a population consists of three numbers (1,3,5,8 & 11). Consider all possible sample of size 2. which xan be drawn without replacement from the population.

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