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Let {N(t): t>= 0} be a poisson process with E[N(1)]=1. Think of the points as being the arrival times of customers to a store which opens at 1. The customers arriving between 0 and 1 have to wait until the store opens. Suppose X is the total times that these customers have to wait. Calculate Var(x).
Compute the value of the test statistic (to 2 decimals).
What shape curve do you get when your data set has the mean, median, and mode all with the same value? Could the value of the sample mean and the value of the population mean ever be the same?
For the experiment above, let X denote the number of hearts that are drawn. For this random variable, find its expected value and standard deviation.
Suppose you toss ten coins and count the number of heads. What is the probability that the number of heads you count will lie within two standard deviations of the mean?
Then test to see whether it considerably varies from 0 [use alpha = 5%]. Don't forget to identify the null and alternative hypotheses.
Choose any Markov Chain with a 3x3 transition matrix that is irreducible and aperiodic. The reason it needs to be irreducible and aperiodic is because we are looking for a Markov Chain that converges.
Provide an explanation of a chi-square test. Why would you use the chi-square statistic? What type of data is used with chi square analysis?
A manager wishes to find out whether there is a relationship between the number of radio ads aired per week and the amount of sales (in thousands of dollars) of a product. The data for the sample are shown below. a) Draw the scatter plot for the v..
Identify the formal hypothesis testing process. Perform a hypothesis test of one proportion.
Calculate the expected value and standard deviation of the value.
At the time she was hired as a server at the restaurant, Beth was told, "You can average more than $20 a day in tips." Over the first 31 days she was employed, the mean daily amount of her tips was $21.76,
If she performs 15 demonstrations this week, what is the probability of her being satisfactory? What is the probability of between 4 and 8 (inclusive) orders?
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