Math Answers

Let X be a random variable that is normally distributed with a mean of 10 and a

standard deviation of 2. Assume that a sample of 25 observations are taken from

this distribution, What is the interquartile range of the distribution of the sample

means.

Mr. Pascual, an airline owner, decided to invest P2.5 million to fund his department handling  spare parts replacement. How long will it take his investment to accumulate to P3.325  million if the bank’s interest rate is 5.5%?

The mean number of houses sold by a real estate agent per week is 2. Find the

probability that over the next 6 weeks, the real-estate agent sells between 5 and

12 houses (both inclusive).

Westwood Grocery Store needs a new freezer for popsicles and ice cream bars. The owner finds a freezer that is 4 feet long, 2 feet wide, and 3 feet tall. What is the volume of the freezer?

Activity 2

1. In a Science test, the mean score is 42 and the standard deviation is 5.

Assuming the scores are normally distributed, what percent of the score is

a. Greater than 48?

b. Less than 50?

c. Between 30 and 48?

Sketch the normal

curve

12 students are to pose for photographs after a social gathering at FCT. 4 students are from Lagos state, 3 are from Kano state and the remaining are from Kwara state. How many possible photographs can they take if students from the same state must stand close to one another?

The length of the bases of a trapezoid are 18 centimeters and 30 centimeters. Find the length of its median.

12 jobseekers applied for 3 available vacant positions in a company. In how many ways can the job be offered among these applicants if a particular applicant must be employed?

Abbey Fish Company will pay a R5.00 per share dividend next year. The company

pledges to increase its dividend by 3% per year indefinitely. If you require a 16%

return on your investment, how much will you pay for the company’s shares today.