3. Approximate P{23 < X < 31}. where X is the mean of a random sample of size 36 with a distribution with mean u = 25 and variance o? = 16. 4. Let X and Y be random variables of the continu- ous type having the joint pdf f(x, y) = 8xy, 0 sxsy< 1. (a) Find the marginal pdfs of X and Y. (b) Compute ux, Hy, O, o, Cov(X, Y), and p. 5. Suppose that for a particular population of students SAT mathematics scores are N(529,5732) and SAT verbal scores are N(474,6368). Select two students at random, and let X equal the first student's math score and Y the second student's verbal score. Find P(X

Q: a)S- xdx x4 + x2-X

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Q: Problem 62

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Q: Problem 47

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A: We have to find out

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A: We can solve this as follows:

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A: 1.) 5m + 14. 2.) 11a + 5. 3.) 6c + 2. 4.) 4g + 9. 5.) -19f + 7. 6.) 4h + 4. 7.) 8r. 8.) 10x + 5. 9.)…

Q: Question 3 Online databases can be used as a good source of literature review O True False

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Q: Compute ()

A: We have in general the formula for combination as, rn = n!r!(n-r)!

Q: Problem 6 Find gcd(100, 625) lcm(1000, 625)

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Q: Question 5 Simplify A B X- 5 18 6 x²-10x+25 x + 5 3 3 x + 5 x-5 3 : 3 x-5

A: Using formula

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A: Solve using matrices addition and subtraction

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.