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The narrowness and wideness of a curve is determined by the standard deviation of the distribution. *


What is the proportion of the area of region between z =1 and z=

2


how far from the base pf a 24 unit wall should a 26-unit ladder be leaning so that it reaches the top most part of the wall


Suppose four cellphones are tested. Let D represent the defective cellphone and N for non defective cellphone. How many possible outcomes will occur from the experiment

Evaluate limits involving the expressions (sin t/t), (1 - cos t)/t) and ((e ^ t- 1)/t) and indeterminate forms type "0/0"



Directions: Create example of limits of functions and evaluate their limits.


1.(sint)/t


2.(1 - cos t)/t


3.(e ^ t - 1)/t




1.(sint)/t


2.(1 - cos t)/t


3.(e ^ t - 1)/t

Evalute limits involving the by constructjng their respective table of values



1.lim t -> 0 t/(sin t)



2.lim t -> 0 (sin t)/(2t)•(1 - cot t)/t



3.lim t -> 0 (e ^ t - 1/t)




Consider the population consisting of the values (4, 6, 8).

a. List down all the possible samples of size 2 with replacement.

b. Compute the mean of each sample.

c. Compute the mean of the sampling distribution of means.

d. Identify the probability of each sample.

e. Compute the population mean.

f. Compare the population mean with the mean of the sampling distribution of means.



The score of entrance examination takers who took a 600 item exam resemble a normal distribution with a mean of 220 and a standard deviations of 10. The coordinator would like to get the lowest 15% of thr scores and invite them for a retake examination. What range of scores indicates the inclusion in the retake of the exam?


A molding machine prepares a certain kind of car spare part with a target



diameter p = 42.23 mm. The machine has some variability, so the standard



deviation of the diameter is o = 0.003 mm. A sample of 10 spare parts is



inspected each hour for the process control purposes and record are kept of



the sample mean diameter. What will be the mean and standard deviation of



the number recorded?

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