Homework Answers

In using the stepping stone method Am getting values that are different from you net cost change.what could be the problem? And can we use a different path other than what you used or are there some rules? Could the answer still be correct or?looking forward for your reply,please.Thank you.

For an example of a discontinuous linear functional on a normed linear space

Activity #1

Suppose that a coin is to be tossed five times, and let X represent the number of tails that occur. Based on the problem, observe, analyze, and answer the following questions:

How many outcomes are possible?

Construct a table showing the number of tails appear in each outcome and assign this number to this outcome. What is the value of the random variable X?

> Illustrate a probability distribution. What is the probability value P(X) to each value of the random variable? (Use table)

What is the sum of the probabilities of all values of the random variable?

Suppose that a coin is to be tossed five times, and let X represent the number of tails that occur. Based on the problem, observe, analyze, and answer the following questions:

> Construct a table showing the number of tails appear in each outcome and assign this number to this outcome. What is the value of the random variable X?

1.    a) Recursively define a₀ = 1, a₁ = 3, a₂ = 5 and a_n = 3a_n-2 + 2a_n-3 for n ³ 3. Calculate a_n for n = 3,4,5,6

(4 Marks)

b) Find f(2), f(3), f(4) and f(5) for the following recursive functions.

                 f(0) = 1

f(1) = 2

f(k) = (f(k -1))² - f(k -2) + k²

(4 Marks)

Find each of the location location z score or z value of P99 percentile points under the normal curve

Use Huffman coding to encode these symbols with given frequencies:

a: 0.20, b: 0.10, c: 0.15, d: 0.25, e: 0.30.

What is the average number of bits required to encode a character?

(12 Marks)