1 Identify each of the random variables described below as d

1. Identify each of the random variables described below as discrete or continuous d. The breaking time of a car b. The height of a randomly selected door inside that convenience store. c. The cost to make the entry door at a convience store. a. The number of bottles of bottled water sold at a convenience store in a year.

2. The incomplete probability distribution table at the right is of the discrete random variable x representing the number of dogs owned by each family in a small town. Answer the following: x P(X=x) (a) Determine the value that is missing in the table. (Hint: what are the requirments for a probability distribution?) 0 0.433 1 0.289 2 0.215 (b) Find the probability that x is at least 2 , that is find P(x ? 2). 3 4 0.012 (c) Find P(x ? 1). Describe what the resulting value represents within the given context. (d) Find the mean ? (expected value) and standard deviation ? of this probability distribution.

3. (a) What is meant by the term \"expected value\"? (b) Suppose the expected value of a slot machine (game of chance) in Las Vegas is a negative 5 cents. Does this mean that every time Alice plays this game, she will lose 5

Solution

1. Identify each of the random variables described below as discrete or continuous

a. The braking time of a car (Continuous)

b. The height of a randomly selected door inside that convenience store. (Continuous)

c. The cost to make the entry door at a convience store. ..

d. The number of bottles of bottled water sold at a convenience store in a year. (Discrete )

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3. (a) What is meant by the term \"expected value\"?

*\"For a discrete random variable, the calculation is Sum of (value