5.1.2Suppose that Z~ N(0, 1). (a) P(Z ≤ -0.77) (b) P(Z≥ 0.32) (c) P(-3.09 ≤ Z≤ -1.59)
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- Which of the following sets are countable? OR\N O {7,99, 512}. O{1,1 100 1000: 1 .}. 9 " O The set of all positive rational numbers. ○ The range of the function f : R → R with f(x) = eª. ONone of the above1.3.4 Indicate whether each statement is true or false. (a) If P[A] = 2 P[A], then P[A] = 1/2. (b) For all A and B, P[AB] ≤ P[A] P[B]. (c) If P[A](a) Lakarkan graf y = e=x dan y = x + 0.5 pada rajah yang sama. Sketch the graphs of y = e¬* and y = x + 0.5 on the same diagram. (b) Cari selang a < x < b, dengan a dan b ialah integer positif berturut-turut di mana titik persilangan terletak. Find the interval a < x < b, where a and b are consecutive positive integers in which the point of intersection lies. (c) Selesaikan persamaan e-* = x + 0.5 dengan menggunakan kaedah Newton- Raphson dan berikan jawapan betul kepada empat tempat perpuluhan. Solve the equation e-* = x + 0.5 by using Newton-Raphson method and give the answer correct to four decimal places.cwhich satisFY the concluscion For h Cz) <473 - 822t 72-2 on [2,5]. 1. Determine all the numbers) OF Mean Value theorem4.08 Consider Y with pmf p(y) = exp(-3.8)(3.8)'-2/(y-2)! defined on some set. ( a Determine a valid set. ( b Calculate P(Y > 3).Compute for the total frequency X frequency 0≤x<2 9 26. Given that -뿔 (금) (규 R(x) 4! 1+. for x E (-, 3), where & is between x and 0, find an upper bound for |R|, valid for all x € [-,), that is independent of r and §. 21 21.50. (!) For S in the domain of a function f, let f(S) = {f(x): xe S}. Let C and D be subsets of the domain of f. a) Prove that f(CUD) ≤ f(C) U ƒ(D). f(D). b) Give an example where equality does not hold in part (a). HU14- which ones are correct?2. Show that for all n ≥ k ≥ 0, 3. Show that for all n ≥ k ≥ 0, a. town b. rinse c. print d. carry n (7²) = (₂₁ n e. expect f. anticipation n+1) n (" + ¹) = (^) + (²₁). Hint. Start with the right-hand side and simplify. Note that k! = k· (k − 1)!. 4. How many different letter arrangements can be made from the following words? n 1 - k 129 Like3. Suppose f: N→ N has the rule [n², f(n) = n<8 n+ 1 n ≥ 5 Which of the following statements is true? Select one: O A. f is not a function because f(6) is equal to both 36 and 7. O B. f is not a function because f(3) = 9 and f(8) = 9. O C. f is a function. O D. f is not a function because there is no natural number n such that f(n) = 2.6. P(1.13Recommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON
A First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON