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Before you proceed and explore on computing probabilities under the normal

curve let us see how much you know before we tackle the lesson. Below is a 5-lem

true or false test Determine whether the statement is true or false Wanite Tithe

statement is true and Fit false on the blank provided before each number

7. Probability value is a number from 0 to 1

2. Probability value is a number from - 1 to 1

3. Finding the area of a region is the same as finding the probability

associated with that region.

4. The probability that the z-score falls at most = -1 is equal to the

probability of that the Z-score falis less than z = -1

6. It is possible to have a negative probability



You want to determine the opinion of students in New York University about the new platform used in learning this pandemic. You wanted to use stratified sampling in getting responses from a sample of 500 students. Given the following data, identify how many samples are there in each grade level.


Grade 7: 1,557


Grade 8: 1, 209


Grade 9: 1,054


Grade 10: 1, 988


Grade 11:1, 456


Grade 12: 1,764


A proton is placed in a uniform electric field of 2.75 × 103 N/C. Calculate the






magnitude of the electric force felt by the proton. (The charge of a proton is






+1.6 × 10−19 C).

A population consists of the five numbers 2, 3, 6, 8, and 11. Consider samples of size 2 that can be drawn from this population. List all the possible samples and the corresponding mean. Construct also the sampling distribution of the the sample means.

What is the molality of a solution labebeled 8.6 % glucouse by weight?

 A mass of 0.9 kg of fluid, initially at a pressure of 15 bar and a temperature of 250oC, expands reversibly and polytropically to 1.5 bar. Find the final temperature, work and heat transfers and the change of entropy, if the index of expansion (n) is 1.25.


In a Math test, the mean score is 48 and the standard deviation is 7. Assuming normality, what is probability that a score picked at random will lie above score 55?

Create a short program that will generate a random number from 0 to 100 while using Math.random and Math.round command.

Suppose the mean amount of cholesterol in eggs labeled “large” is 186 milligrams, with standard deviation 7 milligrams. Find the probability that the mean amount of cholesterol in a sample of 144 eggs will be within 1.5 milligrams of the population mean.

JamEx Limited requires a program to calculate and print the commission received by a salesperson. The program should process an undetermined number of salespersons and appropriately terminate by a predefined input. The commission rate is based on two factors, the amount of sales and the class to which a salesperson belongs. The input will be the salesperson number, sales amount and class. The commission rate will be based on the following criteria:

Class=1

If sales is equal to or less than $1000, the rate is 6 percent.

If sales is greater than $1000 but less than $2000, the rate is 7 percent.

If the sales is $2000 or greater, the rate is 10 percent.


Class=2

If the sales is less than $1000, the rate is 4 percent.

If the sales is $1000 or greater, the rate is 6 percent.


Class=3 The rate is 4.5 percent for all sales amount


Class=any other value

Output an appropriate error message.


*need the answer in the form of a pseudocode and flowchart

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