In the game of roulette a metal ball is dropped into a spinning wheel having 38compartments, 18 of which are red, 18 are black, and two are green. Suppose we spinthe wheel ten consecutive times and let a random variable X be the number of timesthe metal ball will land on a red color.a. Construct the probability distribution of X.

A bag of M&M has 6 red, 7 blue, and 2 yellow M&M's. What is the probability of randomly picking: (Round to 4 decimal places) a. A yellow? b. A blue or green? c. An orange?

There are 25 marbles in an​ urn: 12 are green and 13 are yellow. You reach into the urn and randomly select 4 marbles without replacement. What is the probability that at least one of the marbles is​ green? A. 0.0565   B. 0.9269   C. 0.2713   D. 0.1200   E. 0.9435

A math class consist of 25 students , 14 female and 11 male. Three students are selected at random to participate in a probability experiment. Compute the probability that  a. A male is selected , then two females b.a female is selected, the two males c. Two females are selected, then one male d. Three male are selected  e. Three females are selected

In a class of students, the following data table summarizes how many students have a cat or a dog. What is the probability that a student chosen randomly from the class does not have a cat or a dog? Has a dog Does not have a dog Has a cat 9 6 Does not have a cat 2 11

. Assume that 75 percent of the students at the university have taken 4 years of high school math. Of those with four years of high school math, 80 percent plan to major in science. Of those without 4 years, only 10 percent plan to major in science. You stop a student at random. If the student plans to major in science, what is the probability that this student had four years of high school math?

A football team consists of 13 each freshmen and sophomores, 18 juniors, and 19 seniors. Four players are selected at random to serve as captains. Find the probability of the following. P(at least 1 of the students is a senior)=

Brian is in charge of the mailroom of the Boryk Corporation. Each day the company receives several packages via the U.S. Postal system, for which he must sign. The following is the probability distribution for the number of daily pieces of mail that comes via the Postal system.

67% of LaGuardia students are female. A random sample of 6 students is to be selected. Let the random variable X be the number of female students in a sample.     a. What is the probability that out of 6 randomly selected students at most 2 are male?   b. Find the average number of female students per sample if a large number of random samples of 20 students were selected.

Pet owners often have more than one type of pet. A recent survey shows that 70% own a dog, 44% own a cat, and 30% own both a dog and cat. Suppose a person is randomly selected. Determine the probability this person 1. has a dog or a cat or both. 2. does not have a dog nor a cat. 3. only has a dog. 4. Given the person has a dog, what is the probability that this person has a cat?