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In given Example, the time it takes Alison to swim a mile on any given day was assumed to be independent of the time that it takes Julie to swim a mile on that same day. Refer to the explanation of when two random variables are independent, given earlier in this section. Explain whether or not it is reasonable to assume that Alison's and Julie's times on the same day are independent in each of the following scenarios:
1. They swim at different times, and the one who swims first does not report her time to the other until after they are both done.
2. They swim side by side in two lanes of a pool.
3. They swim at different times, but the one who swims second knows the time it took the other to swim the mile that day.
Example Alison and her sister Julie each swim a mile every day. Alison's times are normally distributed with mean = 37 minutes and standard deviation = 1 minute. Julie is faster but less consistent than Alison, and her times are normally distributed with mean = 33 minutes and standard deviation = 2 minutes. On any day, their times are independent of each other. Can Alison ever beat Julie?
Conduct an appropriate t-test using these data. Based on your results, it is reasonable to conclude that future students would show higher scores after instruction? Why or why not? Calculate the effect size as well as a confidence interval for the ..
a forgetful child tries to count the skittles in a package but he often loses his place and double-counts a skittle.
A white Gaussian noise process N(t) with power spectral density of 10-15 W/Hz is the input to the lowpass filter H( f ) = 106e-106| f | . Find the following properties of the output Y(t):
Run your solution to Exercise 7 through any LL(1) parser generator to verify that it is actually LL(1). How do you know that your solution generates the same language as the original grammar?
let the experiment be the toss of three dice in a row.let x be the outcome of the 1st die.let y be the outcome of the
give an example of how you may use a correlation or simple regression to examine the relationship between two variables
If I have 3 tables in the classroom with 16 girls and 8 boys in the class, what are the chances of 8 girls sitting at one table when seats are assigned randomly?
The Weithoff company has a contract to produce 10000 garden hoses for a customer. Weithoff has 4 different machines that can produce this kind of hose.
The American Society of PeriAnesthesia Nurses (ASPAN; www.aspan.org) is a national organization serving nurses practicing in ambulatory surgery, preanesthesia, and postanesthesia care. The organization's membership is listed below.
An actuary models the lifetime of a device using the random variable Y = 10X0.8, where X is an exponential random variable with mean 1 year. Determine the probability density function f(y), for y > 0, of the random variable Y
Find the probability of being dealt a two-card blackjack hand worth a total of no less than 12 points and no more than 17 points?
In the previous example, let, instead, T be the time of the last occurrence in the time interval (0, t]. If there is no occurrence during (0, t], we set T = 0. Compute E T.
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