Answer to Question #51040 in Statistics and Probability for Mike S.

Question

3. Aquinas students were asked how many pizzas they have eaten in the last 10 days. Let the random variable X be the number of of pizzas a student has eaten in the last 10 days. Picking a student at random, we have the following probabilities:
Number of Pizzas
# of Pizzas 0 1 2 3 4 or more
P(x) 0.10 0.17 0.41 0.18 0.14

Find P(X>2)


4. Aquinas students were asked how many pizzas they have eaten in the last 10 days. Let the random variable X be the number of of pizzas a student has eaten in the last 10 days. Picking a student at random, we have the following probabilities:
Number of Pizzas
# of Pizzas 0 1 2 3 4 or more
P(X) 0.10 0.17 0.41 0.18 0.14


Find P(X<2)


5. A screw manufacturer makes specialized tiny screws that are 15mm long. The manufacturing process does not make every screw exactly 15mm long. Suppose we know that the lengths of the screws have population mean 15mm and population standard deviation 0.04mm. To test for quality control, 100 screws are to be measured. What is the distribution of