Consider the series: Question & % [a] Divergent test : 161 limit comparision test Ž n=1 3n²+2n-5 505 +²+10

Q: Let X be distributed as Binomial (3; p). If P(X 21) = 124/125 then P(X = 1)= [A] 12/125 [B] 3/ 8 [C]…

A: Given,A random variable X~Binomial (n=3 , p)P(X≥1)=124125and P(X=x)=nx px qn-x  ; x=0,1,2,....nq=1-p

Q: Determin tollowing series Convergence divergence. or り It zU

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Qi find theintervals of the hundfioAon which, imcreofing ond the istencls on which lecreasing O…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: 9) Σ=1 10) 3/3 - (-1)^(1+n²) n! 3 1 4 2 11) Σ.» (= − 1) =0 τη 13) Σ=1 14) En=1 15) En=1 Σ + n+1 12)…

A:

Q: Find Sol. of +2Y +るY +6Y whe hイ

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: 2n2+5 Does the series E- converge or diverge? What happens if I try to use the Ratio Test? Is it…

A: Solve the following

Q: 3 Find (- 3)'-1 i=1

A: Given : ∑i=13-3i-1

Q: X = {1,2,5,5,5,8,4,6,7,5,9,6} the variance of the simple series is

A: Given information: The series X is given as: X = {1,2,5,5,5,8,4,6,7,5,9,6} Assuming that the series…

Q: by the divergence test

A: Given: ∑n=1∞1n To check: Series divergence. Divergence test: If limn→∞ an≠0 then ∑n=1∞an diverges.…

Q: 1 V2T 1 le -1 e -1/2x²dx

A: We know that Taylor's series for the function ex is given by  ex=1+x1!+x22!+x33!+…=∑n=0∞xnn!.…

Q: Q51 use the Ratio Test todetermine if each series Con verges o7 diverges 2" 2n

A:

Q: Q2: The following values are recorded for the variables x and y are: x, = 1.5, x,= 3.5, 13= 0.7, x4…

A: Given information: The bivariate data in terms of X and Y is provided as follows: i Xi Yi 1 1.5…

Q: Find P(x <= 2 | n = 12, p = 0.25) by using the binomial formula.

A:

Q: Using Ratio test, the following series (n + 2)6" (2n)! is divergent isconvergent OO O.

A:

Q: 0se the ratio test to determine whether the series Convergent cr divergent (-1)-1 2"n3

A: A series is given by, ∑n=1∞-1n-13n2nn3. The objective is to use the ratio test to determine whether…

Q: P(0.74<Z<2.11)

A: Let Z be the standard normal variable with parameters μ=0  and σ=1 The probability is,

Q: Find the sum S given by S=1² +2²x+3x²+4² x³ +0 for x < 1

A: A good problem. We shall look at the famous geometric series \sum x^n and obtain S by repeated…

Q: 3 Show that full range series is an extension of Half Rage.

A: we prove this statement using Fourier series. The Fourier series of half range even function or…

Q: Find P(x &lt;= 1 | n = 15, p = 0.25) by using the binomial formula.

A: Solution: We are given that a random variable x follows the binomial distribution with n = 15 and p…

Q: 7 Estimate I = 3 (2 + 3) dr using n = 4 subintervals and (a) Left endpoints. I ≈ (b) Right…

A: (a) I ≈ 13.9 (b) I ≈ 22.63Explanation:To estimate the integral ∫37​( 2/x + 3 )dx using n=4…

Q: Determine the lonvergence or divergence ofeach Series. Jushify your Ansuar (a) 2nt1 Inn n=2 2N (e)…

A: