1 diverges by comparing with n-. 16. Show that n² – 3 n=2 n=2

Q: 1. Use the Nth-Term Test to examine the divergence of: n n+1 n=1

A: Follow the steps and just remember the form of the nth tems test.

Q: converges to 0 Select one: True False

A:

Q: Let X1,.,X, be a random sample from Uniform(0,1). show that x converges in probability to µ.

A: # random variable Xi follow uniform distribution (0,1)  Mean(mu)=1/2  Var(xi)=1/12   i=1,2,3,.....n…

Q: 7. Find the moment generating function of standard binomial variate -np and show that it tends to…

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Q: Discuss the Conditions foo which Foudies Segies is convergent?

A: Given: Conditions of Fourier series is convergent.

Q: 1+e-* Show that dr diverges.

A:

Q: For a series of dependent trials the probability of success on any trial is (k + 1) /(k + 2) where k…

A: Given : For a series of dependent trials the probability of success on any trail is (k+1)(k+2) There…

Q: A recent study reported that 56% of the children in a particular community were overweight or obese.…

A:

Q: John is an inspector at a New York clothier. He knows from keeping track of good and substandard…

A: The population proportion is 0.04, sample size is 260. The mean of the sample proportion is,…

Q: Consider a random walk on the integers starting at xo O and with a probability of moving in either…

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Q: 2. A 6-foot sub valued at $25 is divided among five players (P1, P2, P3, P4, P5) using the last…

A:

Q: 2 5) Use Direct Comparison to determine convergence or divergence: 2n= 7n+3

A: In the question it is asked to calculate series convergence or divergence for ∑n=0∞27n+3.

Q: Test E(-1)" . for convergence or divergence. n2+4

A:

Q: Let X1, ., X, be a random sample from Uniform(0,1). show that i converges in probability to u.

A:

Q: Suppose a coin has been tossed 20 times. Thệ position of heads (H) and tails (T) obtained in the…

A: A coin has been tossed 20 times Find the number of runs. HTHTHTHTHTHTHTHTHTHT

Q: N points are scattered at random independently of one another inside a sphere of radius R. •  What…

A: Answer for sub question 1: Let A be the sphere of radius R and B be the sphere of radius r. Volume…

Q: State why the following intergral is improper and find the value if it is convergent: 2r (z² – 4) "

A: The given integral is I=∫262xx2-423dx The integral is improper as the integrand is unbounded at x=2.

Q: A bowl contains 10 balls, of which 4 are red and 6 are white. Balls are randomly selected from the…

A:

Q: Let ( S,20 be a simple random walk starting from 0. Let P(S = 1) = p. If the probability that the…

A: Given that Snn≥0 be a simple random walk starting from 0.

Q: suppose that 60% of all students currently enrolled at all California Community College campuses…

A: Part (e):The exact distribution of P is binomial distribution; here P ~ Bin (1,000, 0.6).Thus, the…

Q: There is one male baby seal for every nine female baby seals. Let X be the number of male baby seals…

A: Let p=P(male baby seal) = 1/9 Here n=5 Note that X follows a Binomial distribution with n=5 and…

Q: Are there cmy value of fer which converges. n7

A: Given series is ∑n=1∞1nx. The above series can be written as 1x∑n=1∞1n.

Q: In a certain city of several million people, 7.6% of the adults are unemployed. If a random sample…

A: Given: n=230p=0.076 Normal approximation is used with mean μ=np and standard deviation σ=np1-p.

Q: The number of packets, X, arriving at a router is known to be Poisson distributed with A 2 packa…

A: A random variable X is called to follow the Poisson distribution if its takes only non-negative…

Q: 1 3 .5 4 X +x

A:

Q: 2. An coin is tossed repeatedly, where heads appear with probability p- - Let X be the number of…

A: A coin is tossed repeatedly, where heads appear with probability p Let X be the number of tosses…

Q: converges or diverges. I-

A: We have to find out the given series is convergent or divergent. If the series is convergent then we…

Q: Suppose Y, a Poisson(0) as n → ∞. Binomial(n, 2) for n = 1,2, 3, .... Show that Yn converges in…

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Q: test the follown divergence or 1. nin2n n=2

A:

Q: 01. A gardener was observing thd behavior of the roses that he transplanted a week ago. He observed…

A: ANSWER :

Q: If an| converges then diverges because for large n. Vn n=1 True False Reset Selection

A:

Q: n a certain city of several million people, 7.8% of the adults are unemployed. If a random sample of…

A: Given Information: 7.8% of the adults are unemployed. i.e.., p=0.078 Sample size n=250 To find the…

Q: Find the odd and even half range expansion, f(t) Lt KIN RIN

A: Given:   To find: The odd and even half range expansion

Q: The manufacturer of a fertilizer guarantees that, with the aid of the fertilizer, 65% of planted…

A: Given that manufacturer claim that 65% of the planted seeds will germinate  then probability of…

Q: According to the national center for health statistics, 15% of all americans have hearing trouble.…

A: From the provided information, Mean (p) = 0.15 Sample size (n) = 120 The standard deviation can be…

Q: A research center claims that more than 29​% of employees in a certain country have changed jobs in…

A: Consider that p is the true proportion of employees who have changed jobs in last three years.

Q: 7. Suppose that the scores on a certain national test are ap- proximatery normally distributed, with…

A: X~N(570,20)

Q: Find the Z-transform of the causal sequence k 20 What is the region of convergence?

A: Solution:-

Q: How many ways are there to distribute r+s identical balls among five different children such that…

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Q: le t Zu is Poisson (n) Prove is normal प (ा०)

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Q: Determine if the given is convergent or divergent. Indicate what test is used In n 1. n=1

A: To determine that the following is convergent or divergent  ln2nnn=1∞ ∑n=2∞ln2nn Root test: If…

Q: Σ converges/diverges N! 9) Show that

A: Ratio test

Q: Which test to use and is it convergent/divergent? Σ 16n2 – 8n – 3 n=1 - -

A: Use the ratio test, L=limn→∞an+1an=limn→∞116n+12-8n+1-3116n2-8n-3=limn→∞16n2-8n-316n+12-8n+1-3

Q: 19. Why is it important to sample not more than 10% of the population when the sample is drawn…

A: Given questions : 19. Why is it implortant to sample not more than 10% of the population when the…

Q: Let X denote the length (in seconds) of the next smile of a ran- domly selected 8-week old baby.…

A: It is a problem of a uniform probability distribution.

Q: =) Show that converges/diverges n-1

A:

Q: Test E(-1)" for convergence or 3n+2 divergence.

A:

Q: Two random variables X and Y have joint char- acteristic function rl@,a)=exp(-20,? – 8m3) Show that…

A:

Q: A research center claims that more than 21% of employees in a certain country have changed jobs in…

A: From the provided information, The claim that more than 21%of employees in certain country have…

Q: , (n!)²3"| What is the convergency interval of www (2n)! O a. (-2/3,2/3) O b. (-4/3,4/3) O c.…

A: Here we have to find the convergency interval of the given series.