d. Consider another brand D of car tyres. It has been found that the probability that these car tyres which last longer than 40,000 km is 0.7. For samples of 36 tyres of brand D, P is the random variable of the sample proportion of these tyres which last longer than 40,000 km. i. Find the expected value and variance of P Find the probability that the sample proportion of these car tyres lies within two standard deviations of the mean. Give your answer correct to three decimal places. Do ii. not use a normal approximation.

It is extremely important for a researcher to clearly define the varibales in a study because this helps to determine the type of analysis that can be performed on the data. For example, if a researcher wanted to describe people based on Social Security number, what level of measurement would the variable "Social Security number" be? Now suppose the researcher felt that certain people who lived farther ease received higher numbers. Does the level of measurement of the variable change? If so how? What is the level of measurement of the variable "Social Security number"in the origiinal scenario?

Answer parts d through f please

2. Bombardier Aerospace is the third largest airplane manufacturer in the world and has its main headquarters in Dorval, Québec. The Dash 8 series of turboprop airliners are built by Bombardier and are designed to need very short takeoff and landing strips. Suppose that a Dash 8 airplane is travelling from Edmonton to Kelowna, a trip of about 600 km (by air), at a speed of 450 km/h. Let w represent the speed of the wind, in kilometres per hour, where w is positive for a tailwind and negative for a headwind, and t represent the time, in hours, it takes to fly. The equation that represents t as a function of w is as follows: t = 500 w+ 400

This problem set deals with the problem of non-constant acceleration. Two researchers from Fly By Night Industries conduct an experiment with a sports car on a test track. While one is driving the car, the other will look at the speedometer and record the speed of the car at one- second intervals. Now, these aren't official researchers and this isn't an official test track, so the speeds are in miles per hour using an analog speedometer. The data set they create is: {(1,5), (2, 2), (3, 30), (4, 50), (5, 65), (6,70)} Z = 25 They notice that the acceleration is not a constant value. They decide that a fourth-degree polynomial will be the best to describe the speed of the car as a function of time. The task here is to determine the fourth-degree polynomial that fits this data set the best. 1. Construct the system of normal equations A¹ AX = A¹b. AT A = A¹b = 2. Solve the system of normal equations. (I don't want you doing this by hand. Use a calculator or app.) x =

This problem set deals with the problem of non-constant acceleration. Two researchers from Fly By Night Industries conduct an experiment with a sports car on a test track. While one is driving the car, the other will look at the speedometer and record the speed of the car at one- second intervals. Now, these aren't official researchers and this isn't an official test track, so the speeds are in miles per hour using an analog speedometer. The data set they create is: {(1, 5), (2, z), (3, 30), (4, 50), (5, 65), (6,70)} Z = 25 They notice that the acceleration is not a constant value. They decide that a fourth-degree polynomial will be the best to describe the speed of the car as a function of time. The task here is to determine the fourth-degree polynomial that fits this data set the best. 1. Use a general fourth-degree polynomial and Fly By Night's data to construct six equations. Note that the equations are linear in the coefficients. Write the equations here: 2. Construct the…

please show work