Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Name: 7.1 Discrete & Continuous Random Variables AP Stats 1. The number of customers that place orders at the drive-through window at a fast food restaurant each hour is a discrete random variable. The data for a given 10 hour period is recorded below. Hour Customers per hour 1 8 2 4 3 9 4 12 5 7 6 16 7 4 8 7 9 9 10 12 a. In this case X = ___________________________ b. What values would X take on for this 10 hour period? c. Make a frequency distribution for this 10 hour period only. d. Make a probability distribution for this 10 hour period only. Do the probabilities bear out what we know about probability distributions? g. What is P(4 < X ≤ 9)? e. What is P(X < 9)? f. What is P(X ≤ 9)? h. Find the smallest number A for which P(X < A) > 0.4. 2. On the board, put a tally mark next to the number of siblings you have (do not include yourself). Use this information to make a probability distribution. Round to 3 decimal places if necessary. a. Find P(X = 8) b. Find P(X < 4) c. Find the largest number A for which P(X < A) < 0.5. 0 3. Use the given spinner a. Find P(X < .25) b. Find P(X ≤ .75) .75 .25 c. Find P(.25 < X < .75) d. Find P(X = .25) .50 4. You roll two dice and record the sum. a. Make a probability distribution of the sum of two dice. b. Make a probability histogram of the sum of two dice. 5. A probability density function is made up of two line segments. One starts at (0, 0) and goes to (3, .5). The second goes from (3, .5) to a point (X, 0). a. Sketch the distribution function, and determine what X has to be in order to be a legitimate density curve. b. Find P(0 < X ≤ 1.5). c. Find P(X =3.5). d. Find P(0 < X < 3.5). e. Circle the correct option: X is an example of a (discrete) (continuous) random variable.