Let Sn be the number of successes in n independent Bernoulli trials, where the probability of success at each trial is 1/3. Provide a numerical value, to a precision of 3 decimal places, for each of the following limits. You may want to refer to the standard normal table.   1) limn→∞P((n/3)−10≤Sn≤(n/3)+10)=   2) limn→∞P(n/3−n/6≤Sn≤n/3+n/6)=   3)limn→∞P(n/3− sqrt2n/5≤Sn≤n/3+sqrt2n/5)=

Q: If X has an exponential distribution, show that P[(X≥t+T)|(x≥T)] = P(X≥t)

A:

Q: The time for the first widget to be manufactured each morning is random between 1 and 3 seconds with…

A: Given density function: fx=1162x-32x+6, 0<x<6 Cumulative distribution function, F(X):…

Q: A radioactive mass emits particles according to a Poisson process at a mean rate of 2 per second.…

A:

Q: # 33 Let f(x)= x+x on the interval [1,4]. Find the point c, 1 <c < 4, such that 4 O(A) 1.41 O(B) 3/2…

A:

Q: We wish to demonstrate that the average time to graduate from college is affected by the students…

A: The claim is that the students who have taken AP calculus in high school graduate an average of at…

Q: H: HYPOTHESES Fill in the correct null and alternative hypotheses: The value of p on this one is a…

A: Given a random sample of size n=32500The number of children diagnosed with Autism Spectrum Disorder…

Q: You are contracted to design a reservoir to withstand a 50 year discharge event. The channel that…

A: Given: The cumulative probability distribution is shown below Flow (xn)  P (X&lt; xn) 0 0 25…

Q: Let Xi take on an exponential distribution: f(x) = theta * exp(-theta*x). Show that the MLE for…

A: Solution

Q: For constants o > 0 and a > 0, the function aoª p(x) xa+1> where x > 0, is called a Pareto…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: Let X = the time between two successive arrivals at the drive-up window of a local bank. If X has an…

A:

Q: When a man observed a sobriety checkpoint conducted by a police department, he saw 660 drivers were…

A: Probability theorem :  P(W)+P(W¯ ) = 1

Q: e that there are two assets that are available for investment and an investor following expected…

A: *answer:

Q: Define X as the outcome when a fair 6-sided die is rolled rolled. Compute E[1/X]. Enter the value to…

A: Here die is rolled So probability of rolling any of number from 1 to 6 = 1/6 X = rolled outcome

Q: The best fit line for a time series, {yt : t = 1,2,...,518} is found to be f (t) = 3.4025t +…

A: Best fit for a time series : {yt : t = 1,2,....518} F(t) = 3.4025*t + 199.3715 We have to calculate…

Q: Suppose the survival function of the curtate lifetime of a newborn baby is given by 100 – x s(x) = =…

A:

Q: Suppose that approximately 40% of the population has Type O+ blood. You take a sample of 5 persons.…

A:

Q: N (d) = 120(1. 14)* where N(d) represents the number of bees and d represents the number of days…

A: