= (ª*,2 n(n+D2| 13 + ...+ n³

Q: D2) Let A= Fid ABud BA al B.

A:

Q: Let p=C" The value of n is: 3 O 5 O 4

A:

Q: 3. Evaluate |(n + 1)! – (n + 2)!|, where n E N.

A: To evaluate n+1!-n+2!, n∈N.

Q: 3) Find x if IS = x and IQ = 2x – 5 S. R

A: given,     IS=x , IQ=2x-5

Q: P(z > c) = 0.6126

A: Let z be the standard normal variable with mean μ=0 and standard deviation σ=1 The value of c is,

Q: et X,~11/4 1/2 nd P{X,X, = 0} = 1,

A: X1~-101/41/211/4X2~01/211/2and P(X1X2=0} =1 A joint probability mass function  P(X1, X2) =P(X1 = x1,…

Q: If ?? = ? where ? = [ 1 2 3                                     1 1 2…

A:

Q: iven P(A) = 0.40, P(B) = 0.25, and P(B|A) = 0.11, what is P(A or B)?

A: Given,P(A)=0.40P(B)=0.25P(B/A)=0.11

Q: If m:n is equal to 3:4,what is m if n=16

A: Given that mn=34-(i)Our Aim is to calculate m if n=16.

Q: Let c d -4, then d c

A: Topic = Determinants

Q: T: Out of 10o Families with # 4 children lach how many would you expect o bo have at Leasb one boy.

A: Let, X=the number of boys  n=number of trials=4 p=probability of success=1/2=0.5  X follows a…

Q: 4. (A' U B)' n C A B

A: The objective is to draw the Venn Diagram for A'∪B'∩C Venn Diagram for A' is,

Q: Solve for n if nP, = 6nP,, where P means permutation.

A: Formula of permutation: Prn=n!n-r! We are given that P5n=6×P3n So, using the formula:…

Q: It is believed that an ice cream making machine at Mulungushi University tuck shop makes corn ice…

A: Given: μ = 5   Explanation: i). Since, the claim that the machine no longer makes 5g corn ice cream…

Q: What is the z-score if µ = 89, σ = 11.5, and x = 82? -0.61 0.79 -1.21 1.37

A:

Q: Show that inf n e N} = 0. n1/3

A:

Q: loes it follow that P(3) = 0 as well? Why

A: We have to explain the given condition

Q: C. n In n n=2

A:

Q: ds/dt if s=(t9+6)(t8-6)

A:

Q: Find n(P) if n(Qn P') = 22, n(PU Q) = 72, and n(Pn Q) = 16.

A:

Q: Re, De 0 x-3 义+一 6 P(x) = ス-2 3+7 O x-5

A: See the attachment

Q: Pebermine x and such that -4 3 -4 -4 -3 4 -8 4 -4 -2 3. 3. OC

A:

Q: 2. The physicist Frank Benford noticed in the 1930s that, for many sets of numbers in the real…

A: Hi there! I see there are more than three sub parts in the question. According to our polocies can…

Q: What is the general rule to evaluate I N,where N is any positive

A:

Q: The smaller a p-value is, the stronger it is against H.. O True O False

A: p value is the probability value which one is calculated under the test statistic.

Q: w Many non-trivial Subgtaps in S,? b) 3 c) 4 d) 5

A: Given group is S3 S3=3!=6. In total, there are 6 elements in group S3 Elements of group S3 are:…

Q: If ye p) R 6 knov If no for x. OIn 8.

A:

Q: and

A:

Q: Show that E [(X-µ)^n]=0 for ∀n, with X~N(µ, σ²) and n≥3 being odd numbers.

A: We need to show; E[(X-μ)n]=0 for ∀n and n≥3 being odd numberswhere;X~Normal(μ,σ2) That is, we need…

Q: An unfair coin with heads 6 times as likely as tails is flipped four times. If X is the number of…

A: In this case, if the coin is tossed 4 times then the head occurs 6 times as likely as tails.

Q: a) Suppose, T(n) = 1²+2²+3²+..+n2. Show that, T(n) is in O(n³). %3D .....

A: Big-⊖Notation: Let f and g be real valued functions and assume g is eventually position. We say that…

Q: Derive a formula for fx* In x dxwhere a.) n+ -1 b.) n = -1

A:

Q: If s(t) = 3t2 – 2t – 1, then s(-1) =

A:

Q: n°(r + 4)" 2 .n20/3 infinite, type "infinity" or 'inr".

A:

Q: What is/are X-value(s) in ex2-3x+2)= 1? 1 (2,1) none of these O O

A:

Q: 3n n² + 7 ) n=1 ather means

A: Given   Root test

Q: Determine the value of n if it is known that (n + 1) P 3 = 24 {n C (n - 4 )} а.

A:

Q: dx Evaluate S o 9x2+4

A: Solution is given below:

Q: b. In a rational world, husband and wife are arguing over a matter. The probability of the husband…

A: (b) let event H: husband being wrong           event W: wife being wrong     given,   P(H)=0.15…

Q: n(n – 1) is O(n²). 2 Show that

A: f(n) is O(g(n)) if there exist positive constants c and k such that f(n)≤c g(n) whenever n>k.…

Q: Evaluate C,p (1-p)"-* for n= 6, p-0.2, x = 3.

A: Round to four decimals

Q: solve for t

A: Given equation: eln2t=12

Q: If a you had two groups in a study Group 1 had a n=25 and Group 2 had a n=21, what would the df be…

A: Given that n1 = 25 and n2 =21.

Q: ъ) n EN COn n > 0, (2n)! < 22n . (п!)?

A:

Q: If P(A∩B)=0.28, and P(A|B)=0.4, then   P(B) = ?

A: Solution: From the given information,

Q: 3. Evaluate |(n + 1)! - (n + 2)!|, where n E N.

A:

Q: 8. Prove 3n e R|n? – n < 0

A:

Q: If P(x)=0, this means that A. The event X might occur. B. The event X will occur C. The event X will…

A: It is given that P(x) =0.

Q: 2 - p(1< y 2) %3D 0.504 O 0.603 0.704 O غير ذلك

A: We know that the probability of any distribution or an event happening is always between 0 &amp; 1…

Q: B={n ∣ n ∈ N and 214 < n ≤ 134} n(B)=

A: We are given the description of a set B such that : B={n ∣ n ∈ N and 214 &lt; n ≤ 134} We are asked…