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Construct the probability distribution for each random variable X.



a. The random variable X represents the number of heads that occur when you toss 4 coins at the same time.



b. The random variable X represents the number of male children in a 3-child family.



c. The random variable X represents the amount gain by a person who buys s 20 peso ticket from a total of 1000 tickets for a raffle whose winner will obtain ₱5,000

Construct the probability distribution for each random variable X when The random variable X represents the amount gain by a person who buys s 20 peso ticket from a total of 1000 tickets for a raffle whose winner will obtain ₱5,000

What are the n,l and mL quantum number corresponding to the 3s orbital

Write and test the function that calculate the are of circle returns the area of ‘a’ and


the circumference c of a circle with given radius r ?



. You open a checking account. You are paid 3% interest on the average balance but are charged a 7 monthly charge. Assuming that interest is paid monthly regardless of the number of days in the month, calculate the average daily balance you must maintain to offset the 7 monthly charge.



1.     Given the on-going pandemic, the sale of Willis cleaning products jumped 15% to Rs. 425 million and increased income by 28%. Household sales surged 7% and profits rose 65% as both prices and demand increased and a germ-averse public stocked up. Assume yourself as an ambitious manager of Willis cleaning products, who wants to use these changes in the 4th quarter to calculate the own-price elasticity of demand. You have the data on changes in price and changes in quantity sold during the quarter.


a. What would be the main challenge they would face in calculating a reliable estimate of elasticity?

a. Suppose for the 3rd quarter this challenge did not exist, rather the challenge was one of data availability. All the manager knows, a few minutes before a quickly called meeting to discuss 3rd quarter results, is that the price of a pack of 35-count Clorox Wipes increased by 12% while revenue from those wipes increased by 5%. Calculate the own-price elasticity of demand for Clorox Wipes in this quarter.




Write c++ program that find the x raised to the power n use the function concept ,


where n can be any integer. Use the algorithm that would compute x 20 by multiplying


1 by x 20 times

Explain why Mercantilism was advanced by countries in the past indicating its merits and



demerits.

Consider an ordinary shower where hot water at 60°C is mixed with cold water at 10°C. If it is desired that a steady stream of warm water at 45°C be supplied, determine the ratio of the mass flow rates of the hot to cold water. Assume the heat losses from the mixing chamber to be negligible and the mixing to take place at a pressure of 150 kPa.

To make a certain household paint, you need to mix 3/4L of white paint, 15ml of red paint and 10ml of yellow paint. If you need a total volume of 31 litres of this paint, how much of each colour must you mix?


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