Math Answers

solve for the proportion of the area of the following probability notations then sketch the normal curve shading the required region of each given notation

1. P (-2 < z <1)

2. P (z > 3)

3. P (z < -2)

4. P (z > -1.5)

5. P (z = -1)

2. Monthly payments of P10,000 for 4 years that will start 3 months from now

Find the least number of ways of choosing three different numbers from 1 to 10 so that all

choices have the same sum?

What is regression analysis? Explain steps of performing regression 

analysis in detail? 

The following data shows the yearly sales (in million Rs.) of A2Zcorporation for the last nine years. Develop a regression model. 

Year 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018 ,2019

Sale 2.3, 5.3, 5.1, 3.5, 3.4, 2.7, 2.8, 4.1, 2.9

Explain the following:

• Probability Sampling and Non-Probability Sampling

• Systematic sampling and Cluster Sampling

• Advantages of Probability Sampling over Non-probability 

Sampling

• Census vs. sample

• Primary and Secondary Data

A manufacturing firm produces steel pipes in three plants with daily

production volumes of 500, 1000 and 2000 units respectively.

According to past experience, it is known that the fraction of defectives output produced by the three plants are respectively 0.005,

0.008 and 0.010. If a pipe is selected from a day’s total production

and found to be defective, find out (a) from which plant the pipe

comes (b) what is the probability that it comes from first plant?

The number of patients seen in the Emergency Room in any given hour is a random variable represented by x. The probability distribution for x is :

        X

      10

       11

      12

      13

      14

     P(X)

     0.4

      0.2

     0.2

     0.1

     0.1

The number of patients seen in the Emergency Room in any given hour is a random variable represented by x. The probability distribution for x is :

        X

      10

       11

      12

      13

      14

     P(X)

     0.4

      0.2

     0.2

     0.1

     0.1

A meeting of consuls was attended by 4 Chinese and 2 Japanese. If three consuls where selected at random one after the other, determine the values of the random variable J representing the number of Japanese. 

Identify possible samples for the following populations:

1. Students enrolled in schools along university belt

2. Athletes participating in the 2005 summer Olympics

3. Electric consumption of families in the national capital region

4. Production output of a pharmaceutical company

5. Marine life in the Philippines