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Find area bounded by f(x) =x^2 and g(x) =x+2


Find the area of the region between the x-axis and the graph of f(x) from a=-1, to b=2, if f (x)=e^2x+3


The average time it takes college freshmen to take the standardized comprehension test is 24.6 minutes. The standard deviation is 5.8 minutes. Assume the variable is normally distributed. Find the following probabilities:




a. It will take between 15 and 30 minutes to complete the test.



b. It will take the student less than 18 minutes to complete the test.



c. It will take the student more than 28 minutes to complete the test.

The leader of the association of jeepney drivers claims that the average daily take home pay of all jeepney drivers in San Mateo, Rizal is P 800. A random sample of 100 jeepney drivers in San Mateo Rizal was interviewed and the average daily take home pay of these drivers is found to be P 825. Use a 0.05 significance level to find out if the average daily take home pay of all jeepney drivers in San Mateo, Rizal is different from P 800. Assume that the population variance is P16, 928.


6. What is the null hypothesis?

7. What is the alternative hypothesis? 

8. What type of test?

9. What is the level of significance?

10. What is the critical value?

11. What is the appropriate test statistic to be used?



If p and q are two propositions, then show that ~ (p V q) Ξ ~ p ~ q


Consider a population of 2,3,and 4 .suppose samples of size 2 are drawn from this population.describe the sampling distribution of the sample means.





What is the mean and variance of the sampling distribution of the sample means?

What I Can Do Make use of your acquired skills in this lesson. Instruction: Read and analyze the following situations. Determine whether the following statements have a known (or can be computed) or unknown population variance. Write your answer on the space provided. Also, identify the formula to be used for the standard error of the mean by writing 𝜎𝑥̅ , when the population variance is known and 𝑠𝑥̅when the population variance is unknown. Situation Answer Standard Error Formula 



is a cup of ice cream is selected what is the probability of the cholesterol content will be more than 670 mg?






Which graph is used to plot data given below:


Twenty samples each of size 10 were inspected. The number of defectives detected in each of them is given below: 0, 1, 0, 3, 9, 2, 0, 7, 0, 1, 1, 0, 0, 3, 1, 0, 0, 2, 1, 0.

Jar A contains one white and two black balls, jar B contains five white and two black balls, and jar C contains four white and two black balls. One ball is selected from each jar. What is the probability that the ball chosen from jar B will be white, given that exactly two black balls are selected?


Show your reasoning and calculations.


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