L.Sketch a histogram of the distribution of the number of previous volunteer for these applicants. Be sure to label your axes and include an appropriate Calculate the appropriate measures of center and spread for this distributio

Q: Let P(x) be the statement “Student x knows calculus” and let Q(y) be the statement “Class  y…

A: Given, P(x) be the statement “Student x knows calculus” and let Q(y) be the statement “Class y…

Q: (1) F = B.C+A.C.D+A.C+E.B+E.(A+C).(A+D)

A:

Q: $(zo) is equal to 1-B O P(Z < Zo) 0 1-a Zo

A: Method: From the standard normal distribution to find the probability

Q: What are the possible number of Boolean functions with n-ternary variable?

A: We have to state the possible number of boolean functions with n-ternary variables.

Q: Let n(B) = 5 and n(AUB) = 7. (a) What are the possible values of n(A)? (b) If n(An B) = 0, what are…

A: Let A and B be two sets , then  n(A∪B)=n(A)+n(B)-n(A∩B) . Given that n(B)=5 and n(A∪B)=7 .

Q: The expression of the statemer All dogs (D) have fleas (F) using quantifi ers is

A: D(x) be x is a dog F(x) be x has fleas

Q: 2 1] and B =3 2, then (AB)T is equal 1 1 1 -2 1] If A = 2 1 3 to -3 -2] -3 10 (a) 10 7 (b) -2 7 -3 7…

A:

Q: Let 1 -2 1 -1 -3 1 3 A = -2 -1 1 -1 3 1 3 -4 Then nullity (A) 1 4 2 None 3

A: Let  A=10-2100-1-313-2-11-130130-4

Q: . Show that if P(A) > 0, then P(AB|A) ≥ P(AB|A U B)

A:

Q: . How many Boolean functions are there of degree 7? Explain.

A:

Q: Let C(x) be the statement "x has a cat," let D(x) be the statement "x has a dog," and let F(x) be…

A: Given  C(x) : x has cat D(x) : x has dog F(x) : x has ferret

Q: Prove that la + b + c| < ]a] + ]b| + |c[

A: Prove that,    a+b+c≤a+b+c

Q: Let P(x) = "x studies Calculus", Q(x) = "x is a Computer Science major", R(x) = "x knows…

A: Introduction: The variable of predicates is quantified using a quantifier. The set of variables is…

Q: Let a (1) b=(1 1 1), A= Determine each of the following: A (a) a (b) A b (c) 12 ⓇA (d) A 12 (e) AⓇA…

A:

Q: Let P(x) be the statement "x spends more than five hours every weekday in class," where the domain…

A:

Q: Which of the following is equivalent to - (Vx (P(x)VQ (x?),

A: we will use demorgan law here 1)   ∼(P∧Q)=(∼P)∨(∼Q) 2)  ∼(P∨Q)=(∼P)∧(∼Q)

Q: If B C A, then (i) P(AB)=P(A) - P(B), (ii) P(B) ≤ P(A)

A:

Q: Let S1= {1, 5, 10, 15, 20} and let S2 = {1, 2, 3, 4, 5}. What is: (a) S1 ∪ S2 (b) S1 ∩ S2 (c) S1 –…

A: Given: The given sets are S1=1, 5, 10, 15, 20 and S2=1, 2, 3, 4, 5. To find: The main aim is to find…

Q: Let A || 9 3 -13 -4 0 0 -5 (a) Find the characteristic polynomial of A. (b) Find the two eigenvalues…

A: In this question, we will find the eigen values and eigen vector.

Q: Let F(x,y): "x is friend with y", N(x): "x is funny", W(x): "x is wise", R(x): "x is fair". The…

A:

Q: Find out the following: If A = {1,2}, then |p(p(A × p(A)))| = ?

A:

Q: A is the set of odd number greater than 5 and less than 23 n (A)=

A: A is the set of odd numbers greater than 5 and less than  23

Q: How many logical operators which take three arguments? That is, how many functions of type f : B³ →…

A:

Q: (e) Given the sets A = {-5, –3,0, 1, 5} and B = {-4, –3,0, 1, 5, 6}. Find AN B. (A) {-5, –4, –3, 0,…

A: We have to find out the intersection part

Q: For what function f and number a is the limit lim t-1 5t²-8t+3 t-1 the value of f'(a)? 1. f(t) = 5t²…

A:

Q: Let = [1, -1, 1], [-2, -1, 3] and = [-1, 2, 2]. Find (u ×7)•w: O-14 07 O 10 Does not exist

A:

Q: Let P(x) be the propositional function “ x = x². Tell whether each p The domain of discourse is…

A: Introduction: A proposition is a collection of declarative statements with the truth value "true" or…

Q: How many different size of infinity are there? How does it relate to one-to-one correspondence?

A: There are actually many different sizes or levels of infinity; some infinite sets are vastly larger…

Q: Suppose that the variable x represents people, and F(x): "x is friendly" T(x): "x is tall" A(x): "x…

A: a)some people are not angry is denoted by ∃x ¬A(x)   b)All tall people are friendly is denoted by ∀x…

Q: Example: Let x=1,2,3,4,5 15 P(x) = show that p(x) is p.d.f elsewhere

A:

Q: Write the mathematical formulas corresponding to the following statement with the help of the…

A: Given statement : Every function with positive and negative values has a root.

Q: {3*} |리 > 3 z – 3 |리 > 3 z – 3 - |z| > 3 z + 3 - Z |리 > 3 z + 3

A:

Q: H(x) denotes " is a horse." U (x) denotes "x is a unicorn." B(x) denotes "x is blue." C(x,y) denotes…

A: handwriting solution

Q: Given g(x) = ex, evaluate each of the following. (a) g(In 3) (b) g[In (62)] (c) g In

A: The function is given by gx = ex To evaluate:  a gln3b gln62c gln1e2

Q: Number 3

A:

Q: Prove the following set identities: (a) (AUB) nC = (ANC) U (BNC); (b) (AUB)-C=(A-C) U (B-C); (c)…

A:

Q: Let A = {1, 2, 3, 4, 5, 6}. Insert the appropriate symbol ∈ or ∉ in the blankspaces:(i) 5. . .A…

A: (i) 5  ∈   A      because 5 is present in  A   (ii) 8 ∉  A       because 8 is not present in  A…

Q: If a|b, then a|(bc). Direct proof.

A:

Q: In this problem, assume that A and B are subsets of N, and f is a function N→ N. N-A≤N. Write in…

A: N - A ⊆ N ≡ ∀n ∈ N, n ∉ A =&gt; n ∈ N