Exercise 14. Suppose that the possible values of x are all people. Let Q(x) represent “x...
6. Suppose A = {x | x is a person), and ·E(x) means “x likes curly fries." Example: C(Morgan) means "Morgan likes curly fries." ·S(x) means “x likes scallops." .R(x) means"x likes roast beef" ·T(x) means “x likes turkey." (a) (2 points) Translate into words: S (Calvin) →-C(Phoebe). (b) (2 points) Translate into symbols: "There are people who like roast beef but not scallops." (c) (2 points) Translate into words: -Vx E A, (C(a) A R(x). (d) (4 points) Negate...
question 13 Let p. q, and r represent the following simple statements. p. The temperature is below 40 q: We finished writing. We go to the slope. Write the symbolic statement (TAG) p in words of the symbolic statement is given without parentheses, statements before and after the most dominant connective should be grouped. Translate into English Choose the correct sentence below. O A. If we go to the slope or we have finished writing, then the temperature is below...
Exercise 3.1. Let X have possible values {1,2,3,4,5} and probability mass function x 1 2 3 4 5 pX(x) 1/7 1/14 3/14 2/7 2/7 (a) Calculate P(X ≤ 3). (b) Calculate P(X < 3). (c) Calculate P(X < 4.12|X > 1.638).
Let R represent the set of all real numbers. Suppose f:R -> R has the rule f(x)=3x+2. Determine whether f is injective, surjective and/or bijective. Injective but not Surjective Surjective but not Injective Bijective (both Injective and Surjective) None of the above
QUESTION 14 In the exercise below, let U = {x|XEN and x < 10} A - {x|x is an odd natural number and x < 10} B = {x|x is an even natural number and x < 10} C = {x|XEN and 3<x<5} Find the set. BnU O U or {1, 2, 3, 4, 5, 6, 7, 8, 9} U or {1, 2, 3, 4, 5, 6, 7, 8, 9, 10; Bor {2, 4, 6, 8, 10} O B or...
3. (a) Let p(x) be "r has passed Math 122." Suppose the universe of r is the set of all students. Write Vir, ((:r #Gary) → p(x)) A-p(Gary) in plain English. Do not literally translate the symbols into words. (b) Suppose p(n) and g(n) are statements involving the integer n. Explain why In,p(n)Agin) is not logically equivalent to En, pin) A En,q(n)). (Hint: check it out with pin): "n is even" and qn): "n is odd.") (c) Suppose a(n) and...
Exercise 14. Let bi,..., bn be distinct numbers, representing the quality of n people. Sup pose n people arrive to interview for a job, one at a time, in a random order. That is, every possible arrival order of these people is equally likely. We can think of an arrival ordering of the people as an ordered list of the form ai, . . . , an, where the list ai, . . . , an is a permutation of...
6. Let f:Q+R be integrable over the n-rectangle Q, and suppose f(x) > 0 for all x € Q. Show that ſo f > 0. (Be careful: it is possible for m (f) = 0 for a subrectangle RCQ, even when f >0.)
Q 4.68a) Find the values of the constants a, b, and c so that the directional derivative of Ф , 2. -1) has a maximum of magnitude 64 in a direction parallel to the z axis. ay + by2+cz, Find the acute angle berween the surfaces y'3x+ and 3x2-y + 2z I at the point (1, -2, 1). Find the constants a and b so that the surface ax -by-(a+2)x will be orthogonal to the surface y+ 4 at the...
QUESTION 1. The Bates Motel has 12 rooms available to rent this evening, but they have overbooked and made 14 room reservations. The probability a person cancels their room reservation is 0.11 independent of each other person. Let X represent the number of room reservations that are cancelled for this evening. (a) What is the probability distribution of X? State the name of the probability distribution and the value(s) of any relevant parameter(s). (b) How many room reservations would you...