Activity: Show complete solutions for each item. Use long pad paper or bond paper. 1. An investor is pondering on whether to invest in an ice cream parlor or paper manufacturing company. He had his staff analyze the cost benefits that he would get from the two business ventures and they came up with this report.

A.The ice cream parlor would need Php 200 000 as capital. It has a 70-percent chance of profiting Php 200 000; a 10-percent chance of profiting Php 300 000; and 20-percent chance of losing the capital entirely.

B. The paper manufacturing company would need Php 200 000 as capital. It has a 30-percent chance of earning Php 800 000 and a 70-percent chance of losing the capital entirely.

Which between the two business ventures should the investor invest his Php 200 000?

2. Dr. Alan developed a test to measure boredom tolerance.He administered it to a group of 20,000 adults.The possible scores were 0, 1, 2, 3, 4, 5, and 6, with 6 indicating the highest tolerance for boredom.The results are shown. Complete the following table and then nd the mean, variance, and standard deviation to measure boredom tolerance of the adults.

Score X 0 1 2 3 4 5 6 Frequency f 1400 2600 3600 6000 4400 1600 400 Probability P(X)

3. In a survey of 250 randomly selected registered students in a summer session, 35 students were taking 3 units, 75 students were taking 4 units, 95 students were taking 5 units, and the rest were taking 6 units. Complete the following table and then nd the mean, variance, and standard deviation of the number of units the students are taking in a summer session. Number of Units XProbability P(X)