a box contains 6 balls, 4 of which are red. I randomly select 3 balls from the box. Find the probability mass function of getting 2 red balls

A die is rolled 12 times. Find the probability of rolling exactly 1 two. The probability is (Round to four decimal places as needed.)

12 out of the 61 ads that ran during a past Super Bowl were for cars/trucks/SUVs. Calculate the probability that 3 randomly selected ads (with replacement) are not for a car/truck/SUV. Round to three decimals as needed.

A single die is rolled 3 times what is the probability that a 5 will show atkeast once

In an automated filling operation, when the process is run at slow speed, the probability of an incorrect fill is 0.001. When the process is run at high speed, the probability of an incorrect fill is 0.01. The process is run at high speed 30% of the time, and at low speed 70% of the time. If an incorrectly filled container is found, what is the probability that it was filled during high speed operation?

We toss n coins, and each one shows heads with probability p, independently of each of the others. Each coin which shows heads is tossed again. What is the mass function of the number of heads resulting from the second round of tosses?

The amount of time you wait for the bus is uniformly distributed on the interval from 5 to 10 minutes. Find the probability you wait 8 minutes or less

An urn contains 3 red balls and 1 yellow ball. We draw balls from the urn one by one without replacement until we see the yellow ball. Let X denote the number of red balls we see before the yellow. Find the possible values and the probability mass function of X.

Assume that private preschool costs in the city are normally distributed. The average amount that NYC parents pay for private preschool is u =$27,500 a year with o = $7, 740. Find the probability that for nine family is the average amount a preschool in New York City will cost them will be less than $32,000 a year.

The table below describes a sample of males and females who like and dislike pizza. Give answers to 4 decimal places as needed. Gender likes pizza dislikes pizza Male 41 9 Female 37 6 (a) Find the probability that one randomly selected person is a male or likes pizza. (b) Find the probability that one randomly selected person is a male, given that person likes pizza. (c) Find the probability that one randomly selected person is a female and likes pizza.