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Vehicles pass a certain marker on a highway in accordance with a Poisson process at the rate of 48 per hour; 25 % of the vehicles on the road are trucks and 75 % are cars. Suppose you observe this marker at a particular point of time.
(a) What is the probability that exactly five vehicles will pass in the first 15 minutes?
(b) Given that exactly two trucks passed in the first 5 minutes, what is the probability that the fourth truck will pass in the first 10 minutes?
(c) Given that exactly two trucks passed in the first 5 minutes, what is the expected value and the variance of the number of vehicles that passed in the first 10 minutes?
ph in the water is 7 at the .05 significance level. Her alternative hypothesis is that the water does not have a pH of 7. For which p-value will she fail to reject the null hypothesis?
undergrad students in a section of stat 225 are classified as lower classmen freshman and sophomores and upper classmen
If a baseball player's batting average is 0.340 or 34%, find the probability that the player will have a bad season and only score at most 60 hits in 200 times at bat?
a team of two people to be selected out of 5 men and 5 women. a random variable x is defined to be the number of men
Develop forecasts for the years 6 through 13 using a 5-year moving average and Weight the most recent year by 6, the previous year by 4, the year before that by 2, and the other years by 1.
Within each of your current careers/ jobs, there are sets of data that can be analyzed. For example, a teacher can use a set of test scores, a dietician can analyze a set of patient weights and correlate them to incidences of diabetes, and a sales..
question three defective electric toothbrushes were accidentally shipped to a drugstore by cleanbrush products along
Find the value of the standard of the error of the mean in each of the following cases (use the finite population correction factor if appropriate.
if the standard deviation for a population as estimated from a sample is s 5.6 then the standard error for a sample
The average balance for customer accounts in The Reserve Fund at the time it was frozen by the Securities Exchange Commission (SEC) was $22,500, with a standard deviation of $7,500.
An entrepreneur in a developing country owns 10 food carts. He has ten employees to work with these food carts. Let Xi be a random variable representing revenue from cart i (on a particular day), i = 1,..., 10. Xi is approximately normally distrib..
How many of these new cardholders would you expect to default? What is the standard deviation?
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