The spinner is spun twice. Two possible outcomes art AC and CA. a. Create a sample space that lists all of the equally likely outcomes. b. Refer to the sample space to find the probability of spinning A one or more times in two spins.

Let X be a normal random variable with mean 12 and variance 4. Find the value of c such that P{X>c}=.10.

Let X represent the difference between the number of heads and the number of tails obtained when a coin is tossed n times.
What are the possible values of X?

Based on the Normal model N(100, 16) describing IQ scores, what percent of peoples

Seven balls are randomly withdrawn from an urn that contains 12 red, 16 blue, and 18 green balls. Find the probability that (a) 3 red, 2 blue, and 2 green balls are withdrawn; (b) at least 2 red balls are withdrawn; (c) all withdrawn balls are the same color; (d) either exactly 3 red balls or exactly 3 blue balls are withdrawn.

A bag has 9 red marbles and 6 green marbles. How do you find the probability of drawing a green marble, replacing it, and drawing another green marble?

You are expecting two sets of exams- “easy” and “hard”. The probability of getting a hard exam is 0.80. The probability that the first question on the exam will be difficult is 0.90 if the set is “hard” and is 0.15 if the set is “easy.
a) What is the probability that the first question on your exam is marked as difficult.
b) What is the probability that your exam is hard given that the first question on the exam is marked as difficult?

A process yields 10% defective items. For testing purposes, 100 items are randomly selected from the process. A normal distribution may be approximated in order to get the probability of any event.
- What is the probability that the number of defectives exceeds 13?
- What is the probability that the number of defectives is less than 8?