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1. Samples of eight cards are drawn at random from a population of nine cards numbered from 1 to 9.



a. How many possible samples can be drawn?



b. Construct the sampling distribution of sample means.




Let Q(x, y) denote the statement “x is the capital of y.”




What are these truth values?




a) Q(Denver, Colorado)




b) Q(Detroit, Michigan)




c) Q(Massachusetts, Boston)




d) Q(New York, New York)

A molding machine prepares a certain kind of car spare part with a target diameter 𝜇 =




40.265 millimeters. The machine has some variability, so the standard deviation of the




diameters is 𝜎 = 0.004 millimeters. A sample of 6 spare parts is inspected each hour for




process control purposes and records are kept of the sample mean diameter. What will be




the mean and standard deviation of the numbers recorded?

a nutritionist claims that her developed bread is fortified with vitamin b. is it one-tailed or two-tailed?


Let P = (3, 4), ò= (0, 0), P0 = (5,0) be points in R²


equipped with the


Euclidean metric. Let R be the ring given by R ={v∈ R²: 4 < d(ò, v) ≤ 7}.



Which of the following are neighborhoods of P?


R, B1 = B(ò, 4), B2 = B(ò, 6), B3 = R \ B2, B4 = B(ò, 1) ∪ B2, B5 = B(P0,√11).

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 an = 3an-2 + 2an-3 for n ³ 3. Calculate an 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)

 



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