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An airline knows from experience that the distribution of the number of suitcases that get lost each week on a certain route is approximately normal with µ = 15.5.
A market survey was conducted to estimate the proportion of homemakers in Ontario who would recognize the brand name of a cleanser based on the shape and the colour of the container. Of the 1400 ho
Without an automated irrigation system, the height of plants two weeks after germination is normally distributed with a mean of 2.5 centimeters and a standard deviation of 0.5 centimeters.
Construct a 95 percent confidence interval estimate for the proportion of Canadians who are less likely to buy genetically modified food products.
What is the probability that the wedding costs more than $32000 and what is the probability it costs between $25000 and $30000.
A research firm conducted a survey to determine the mean amount smokers spend on cigarettes during a week. A sample of 49 smokers found a sample average of $54 and a sample standard deviation of $
Find a 90 percent confidence interval estimate of the population mean. Find a 95 percent confidence interval estimate of the population mean.
What is the expected number of pitches that the batter will get during his turn at bat? What is the probability that he will get at least 7 pitches?
A car rental agency at a local airport has available 5 Fords, 7 Chevrolets, 4 Dodges, 3 Hondas, and 4 Toyotas. If the agency randomly selects 9 of these cars to chauffeur delegates from the airport
What is the probability that a good machine will be rejected? What is the probability that an inefficient machine with 95% welding success will be accepted?
A family has 8 children they wants to take a photo of them sitting in a single line. In how many different ways can the 8 children be arranged in a line of 8 chairs if the twins want to sit toget
Using the projected draft position as an indicator of preference the NFL teams have for the two conferences, use the MWW test to determine if there is any difference between the NFL preferences for
Test to determine whether the distribution of hurricane wind speeds is the same for these two regions. What is your conclusion?
A -0.947 correlation coefficient has been found between two variables after examining 43 pairs of observations. What can be concluded?
An automobile manufacturer is concerned about a fault in the braking mechanism of a particular model. The fault can, on rare occasions, cause a catastrophe at high speed. The distribution of the num
An aircraft manufacturing company is designing a new passenger seat. Currently three models have been produced. The company wishes to know which is the best model to adopt for the aircraft base
The life of a semiconductor laser at a constant power is normally distributed with a mean of 7000 hours and a standard deviation of 600 hours. What is the probability that a laser fails before 5,800
One hospital has 218 live births during the month of January. Another has 536. Which is likelier to have 55% or more male births? Or is it equally likely? Explain.
Is there a linear relationship between age and education, and if so, how strong is that relationship? Is it possible to predict educational level based on age? If so, what limitations exist for the
It is known that 60% of all students at a large university are female. A random sample of 8 students is selected. Calculate the probability that among the students in the sample 4.1 at least 7 are f
A number of tubes of toothpaste purchased by a typical family is a random variable having a Poisson distribution with an average of 1,8 tubes per month. What is the probability that a typical family
Of these 18 trucks, 7 have brake problems. A sample of 4 trucks is randomly selected. What is the probability that 2 of those tested have defective brakes?
Let et~ll N(0,1) are define Xt = etet-1. Show that {Xt} is a white noise sequence.This provides an example of a dependent white noise sequence. Prove that Xt and Xt+1 are not dependent.
Let et~ WN(0,2). State for each of the following model whether it is stationary and whether it is invertible. Explain your answer.