o P(A) < P(B), if A is in B. 0 P(A) = P(B), if A = B (i.e. A is in B and B is in A) Please discuss whether their converse results are true or not. If true, please prove the result. If false, please give a counter-example to justify.

Q: 5. A norm al distribution has a mean of 26 and a standard deviation ốf 4. What Is the probability…

A:

Q: Let n EU = Z and p(n): n² + n is an even integer. a. Write the following statement: (Vn) p(n). b. Is…

A: (a) Here, the given statement is: For ∀n∈U=ℤ, p(n):n2+n is an even integer.

Q: • G= *-3 ) • G = , det (G) = 10 %3D 4] Then x=12 O A) TRUE O B) FALSE

A:

Q: Sammy sells cars. Last week, he sold 6 used cars to 6 different customers. Each person he sold a…

A: First, we need to understand Sammy's conjecture. Sammy's conjecture is that only customers who are…

Q: 108 first-year and senior students were asked if they had used cannibis in the past six months. The…

A:

Q: The following is a valid identity, true or false? P(k): 1+2+22 +23 + .. +2k = (2(k+1)/2) +…

A:

Q: a student takes a true false test that has 6 questions and guests randomly at each answer. Let x be…

A:

Q: 2. When an automobile is stopped by a roving safety patrol, each tire is checked for tire wear, and…

A:

Q: \fter the premiere of the new comedy Bumblebee, moviegoers were asked in a quick poll whether they…

A: Given Information: Out of 100 adults, all but 21 said they liked the movie. Out of 25 teenagers, all…

Q: AC Biff P(A) C P(B).

A:

Q: Let an = an-1+ an-2 with ao = 0, a1 = 1. Show that an is even iff ( if and only if) n is a multiple…

A:

Q: Reject Ho if |z| > N

A: We know that  Null hypothesis H0. Alternative hypothesis H1.

Q: hat p (A) =0.3 and P (B) = 0.2 find P (A or B) given that (a) A and B are mutually exclusive, (b) A…

A: p (A) =0.3 and P (B) = 0.2  (a) A and B are mutually exclusive P (A or B) = P(A) + P(B)…

Q: Prove this: A≤B iff AnB=A

A:

Q: If P( A U B) = 0.5 , P (B) = 0.2, P (A)=0.4 then || P(B|A) Is?

A: GivenP(A∪B)=0.5P(B)=0.2P(A)=0.4

Q: c) Write a sentence describing the meaning of 1 - P( 0and 0 ). d) Determine P(0 and 0 and 0) and…

A:

Q: 10 8 8. 6. 4. 4. 12 12 4. 4. C 8. 3 10 10 Which is similar to X? 5. 3.

A:

Q: For what a is ||ai - 3j + k||=16

A: Topic - vectors

Q: Suppose that P(A) = 0.1, P(B) = 0.3, and P(A|B) + P(B|A) = 0.8. Find P(A ∩ B).

A: From the information, given thatThe formula of the conditional probability, for any two events…

Q: Compute x3 in two ways: by computing x, and x2, and by computing P³ [1] P= x₁ = 0.1 0.2 0.9 0.8 0.19…

A: Solution: The given matrix is, P=0.10.20.90.8,x0=10. Now compute x3 in two ways:

Q: Use Contrapositive method to proof the following statement. (a) Suppose a E Z, if a? + 5a is even,…

A: Given: using contrapositive method

Q: Which of the following means the same as p-->q? Choose one answer. q is necessary for p? p is…

A: Consider the truth table  p q p→ q T T T T F F F T T F F T p-&gt; q is equivalent to…

Q: Suppose 50 percent of the customers at Pizza Palooza order a square pizza, 72 percent order a soft…

A: Given information- Percentage of the customers order a square pizza = 0.50 Percentage of customers…

Q: 6. If -2 determine all values of x and y for which A= A.

A:

Q: d = (a, b, c).

A:

Q: If, (V₁ X V₂) · V3 = 6.5 then what is (V3 X V₁) - V₂? ○ (0,0,0) Cannot be found with the given…

A:

Q: If P (A) = 0.3, P(B) =0.6, and P (Aor B) =0.7 are A and B mutually exclusive?

A: Two events are said to be mutually exclusive when both can not occur simultaneously.  A and B are…

Q: 1. Find L-'[l/(p² + a?)²] by convolution.

A: Let 1p2+a22=1p2+a2p2+a2=1p2+a2p2+a2= FpGp      Then ft=gt=sinata

Q: B Given that p(A| B)=0, and p(A)=.15, are A and B (a) independent? (b) exclusive?

A: Ans#- Given, P(A | B) = 0, and P(A) = 0.15.            Are A and B        (a) Independent?…

Q: A ∩ B = ∅, P(B) = 0.6, P(A ∪ B) = 0.6.  Find P(A).

A:

Q: Suppose that P ( A ) = 0.4,  P ( B ) = 0.5 and A , B are disjoint. Compute P ( A c ∪ B c ) .

A: From the provided information, P (A) = 0.4, P (B) = 0.5 The events A and B are disjoint.

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.