Question

1. Circle True (T) or False (F) for each of the following statements: T F The following table, which lists values of x and their probabilities, represents a valid probability distribution: 3 4 S PYx) 0.32 0.54 0.24 T F The following table, which lists values ofx and their probabilities, represents a valid probability distribution: 0 PX) -.09 0.28 0.42 0.39 2 3 variable. TF The speed of a car travelling on the Queen Elizabeth Highway is an example of a continuous TF The binomial distribution can be used only when the probabilities of the two possible outcomes are equal Mathematics 275: Introduction to Statistics Assignment 3 (16 total marks) 2. The following table lists the frequency distribution of the number of vehicles owned per household from a sample of 200 households 2 45 4 4 33 106 10 (4 marks) a. Construct a probability distribution table for the number of vehicles owned per household. (2 marks) b. Cakulate the mean of this probability distribution. Hint: Consider adding the appropriate column to the table created in parta. (4 marks) c. Calculate the standard deviation of this probability distribution. Hint Consider adding the appropriate columns to the table created in parta (4 marks) d. Give a brief interpretation one or two sentences each) of the values of the mean and the standard deviation. (2 marks) e. What is the probability that a household selected at random will have at least two vehicles?

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