interval

1. Smallest interval for existence of unique solution of differential equation

The smallest interval on which a unique solution exist for the IVP yâ€²=e^(2y), y(0)=0, is what? A)|x|<=1/2e B)|x|<=2e C)|x|<=2/e D)|x|<=1/e I am confused which one is correct. Please help.:confused:
2. Confidence interval, parametric statistics

I have no clue how to solve it. I can see that it must be rather simple, but I'm so new to stat that I donâ€™t know where to start. If I understand correctly, I have to calculate the P(theta-1/2<theta<theta+1/2) and that should be 0.5, but if theta is on the real number line that probability is...
3. Confidence interval for the population standard deviation?

Use the given degree of confidence and sample data to find a confidence interval for the population standard deviation. Assume that the population has a normal distribution. The hockey coach selected eight players at random and timed how long each player took to finish their exercises. The...
4. Calculate probability of interval with a random variable?

Hi! I have studied algebra and calculus mostly (Calculus 1), not so much probability. So my problem is that I have a random variable called r that can generate any number from 1 to 100 (1 and 100 are included, interval [1, 100]). I set up a condition that if r >= 1 and r <= 75 then generate a...
5. interval / radius of convergence

Any guidance will be appreciated : find the interval of convergence u_n=((2^n (n+2))/n^2 )((2x-1)^n)
6. Determine the interval of x

Hello, I have a question here that I have no previous knowledge of, I turn to the internet for help because I am currently studying on my own for a test. I have a question here that to be honest I have no idea about. It states: Determine the interval of x for which (i) x(x+2)> 0 (ii)...
7. state the domain of the following use set notation and interval notation

state the domain of the following...thanks I am so clueless f(x)=x
8. Confidence interval with Bernoulli distribution

Hello, With have interval (0.45,0.55) and alpha = 0.88 How can calculate 'n' through Bernoulli distribution ? Thanks
9. Chebychev, where mean is not in the middle of the estimated interval

One more question, can you maybe help me again? Fifty-five percent of all students on a campus are in Humanities. If 150 students are selected at random, what is the probability that the proportion of Humanities students in this particular sample will be between 45% and 55%. I did the...
10. Interval of Convergence

Im trying to find the interval of convergence of a series. I used the Ratio test for absolute convergence, but that limit ended up being zero. For the other problems i've done, it usually comes out to 1 and then i multiply that by |X| and find the I.O.C. Im not sure what that means when the...
11. Fourier series expansion without shifting to the given interval

Given the function $f(x)=f(x+9)$ with $f(x)=x^2-11x+10$ The Fourier series expansion without shifting $f(x)$ on the working interval I will solve the Fourier series on the interval [1,10] thus the Period, P=9 and initial value, c=1 Calculating $a_0$ using the equation, \$a_0= \frac{2}{P}...
12. Quick question on limit of interval

Hi, is limit of the interval (0, 1/n] as n tends to infinity the point 0, i.e. {0} or totally nothing? I personally think it is 0 but 1/n gets closer and closer to 0 but does not actually touch 0 so I am afraid that I am wrong. I want to make sure. Thanks.
13. Would People Know If Results Are Within A 95% Confidence Interval 95% Of The Time?

I was reading about political polling and margin of error. I'm not saying statisticians are wrong about margin of error, but what if hypothetically polls in general are within the 95% confidence interval only 75% of the time? Without asking the entire population, how would people know if the...
14. Continuous function on closed interval is bounded.

Continuous function on closed interval is bounded. Assume f(a) is infinite for some a. Lim f(x) = f(a) finite because f(x) continuous at x=a. Contradiction. f(x) is bounded.
15. Confidence interval word problem help

Confidece interval question I have 2 statistics questions that I do not understand fully, can anyone solve these and explain the process for retrieving the answer? Thanks!! A Survey Of 47 mernbers Of a health club reported that prefer walking Or running On a treadmill to any other type of...
16. how to find global maximum on open interval

hello, guys, I have a real problem to understand how to find the global maximum of this function (n+5)/radical (n^2+n) on an open interval I studied a lot about it but I could not find something useful about it. I know I should use limit as x approaches to +or- infinity but I confused it...
17. how to get a symmetric interval from an asymmetric one

Suppose I have an interval [a,b] that is asymmetric to a given number "c". How to proceed to create a interval that is symmetric and is inside the [a,b] interval?
18. modal interval and mean?

help, i need to find this.. this is the table and the questions are 1. write down the modal interval 2. calculate the estimate for the mean.
19. Find the radius of convergence, and the interval of convergence, of the series.

Power Series: Find the radius of convergence, and the interval of convergence of the series: \sum_{n=1}^{\infty }\frac{\sqrt{n}(2x+3)^{n}}{n^{2}+1} I have tried to solve this problem as following: \lim_{n\rightarrow \infty }\left | \frac{a_{n+1}}{a_{n}} \right |=\lim_{n\rightarrow...
20. Confidence Interval

It is reported that 30% of cars failed the national car test (NCT) at a particular centre in 2014. A random sample of 250 cars was selected from this centre in 2015. From those selected cars, 92 failed the test. a) Calculate the 90% confidence interval for the proportion of cars failing...