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2 In a medical study, patients are classified in 8
ways according to whether they have blood type AB+,
AB−, A+, A−, B+, B−, O+, or O−, and also according to whether their blood pressure is low, normal, or
high. Find the number of ways in which a patient can
be classified.
A company had closed it books with plant, property and equipment amounting to US$3,500mn for year ending in Dec 2020. The company had revenue of US$5,500mn for the same period. During the quarter ended March 2021 and June 2021 expected to clock a revenue of US$6500mn, and US$7500mn respectively. It has incurred US$550mn towards capital expenditure for the same period. The company is charging depreciation 10% for the asset for the quarter. What would be closing balance of plant property and equipment for June 2021
A company has intangible assets of US$1500mn as on Dec 2020. The company in its 10-K mentioned that for the year 2021 company it will be writing off US$500mn. Assuming there is no capex addition for the year, which of the following amount would represent closing amount of intangible by end June 2021
Bryan’s father is now twice as old as Bryan is. His father was four times as old as him 16 years ago. How old is his father now?
Prove by PMI for 2^n+1>2n+1
A population consists of values (2, 3, 5). Consider all possible samples of size n=2 that can be drawn with
replacement from this population.
a. Find the mean of the population
b. Find the standard deviation of the population.
c. Find the mean of the sampling distribution of means.
d. Find the standard deviation of the sample distribution of means.
e. Construct the probability histogram of 𝑥̅ with replacement.
A study was done to study the effect of ambient temperature x on the electric power consumed by a chemical plant y. Other factors were held constant, and the data were collected from an experimental pilot plant
y(BTU). x(°F). y(BTU). x(°F)
250. 27. 265. 31
285. 45. 298. 60
320. 72. 267. 34
295. 58. 321. 74
Find the Pearson r Correlation Coefficient: r = Blank 1
Find the equation of the regression line: y = Blank 2x + Blank 3
Predict power consumption for an ambient temperature of 65 °F: Blank 4BTU
Test the significance of the correlation coefficient calculated in the question above at α = 0.05. Use the steps in conducting hypothesis tests
1. You are the lucky winner of your state’s lottery of $6 million after taxes. You invest your winnings in a five-year certificate of deposit (CD) at a local financial institution. The CD promises to pay 8 percent per year compounded annually. This institution also lets you reinvest the interest at that rate for the duration of the CD. How much will you have at the end of five years if your money remains invested at 7 percent for five years with no withdrawals
How many two-digit numbers can be formed from the digits 1, 2, 3 and 4 if
a. no digit is repeated in any number?
b . repetitions are allowed?
How many two-digit numbers can be formed from the digits 1, 2, 3 and 4 if
a. no digit is repeated in any number?
b . repetitions are allowed?
