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The division – wide aptitude test in Mathematics was conducted to students. The mean of the test is 58 and the standard deviation is 12. The scores also approximate the normal distribution. What percent of the scores is between 55 and 65? *


A group of students got the following scores in an achievement test: 9,12,15,18, 21, and 24. Consider samples of size 3 that can be drawn from this population. A. Determine and list all possible samples and the corresponding sample means. SAMPLE MEANS RANDOM SAMPLES​


A pair of dice is thrown. Find the probability that sum of the points on the two dice is 10 or greater if a 6


appears on the first die.

A group of students got the following scores in an achievement test: 9,12,15,18, 21, and 24. Consider samples of size 3 that can be drawn from this population. A. Determine and list all possible samples and the corresponding sample means. SAMPLE MEANS RANDOM SAMPLES​


The weekly income of managers are normally distributed with a mean of $10000.



And a standard deviation of 100S.



1: What is the z value for an income x of 1100 and for 900?



2. What is the probability that the weekly income is less than 1100?



3. What is the probability that the weekly income is more than 1100?



4. What is the probability that the weekly income between 800S and 1100$?

The weekly income of managers are normally distributed with a mean of $10000.




And a standard deviation of 100S.




1: What is the z value for an income x of 1100 and for 900?




2. What is the probability that the weekly income is less than 1100?




3. What is the probability that the weekly income is more than 1100?




4. What is the probability that the weekly income between 800S and 1100$?

Form a group of five students or five members of your Family. Get the height (in cm) of each member of the group. Use the properties in solving for the mean , variance and standard deviation of sampling distribution of the sample means.





a. Compute the population mean.



b. Complete the population variance.



c. Find the population standard deviation.



d. List all possible samples of size 2 which can be drawn with replacement and their corresponding means.



e. Construct the sampling distribution of the sample means.



f. Find the mean of the sampling distribution of means.



g. Find the mean of the sampling distribution of means.



h. Find the standard deviation of the sampling distribution.




Draw the normal curve that represent with the z=1 and z=2

Three airlines serve a Srinagar. Airline ‘Amira’ has 50% of all the scheduled flights, airline ‘Biyas’ has 30%, and airline ‘chinar’ has the remaining 20%. Their on-time rates are 80%, 65%, and 40%, respectively. 


A plane has just left on time. What is the probability that it was airline ‘Amira’? 


In how many ways can a family of six be seated on a bench if the parents must sit at both ends


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