In a competition, a school awarded medals in different categories. 36 medals in dance, 12 medals in dramatics and 18 medals in music. If these medals went to a total of 45 persons and only 4 persons got medals in all the three categories, how many received medals in exactly two of these categories?

Q: A casting director wishes to find one cat and one dog to cast in his play. If he plans to audition 5…

A: The objective of this question is to find the number of different ways the casting director can…

Q: The University of Montana ski team has twelve entrants in a men's downhill ski event. The coach…

A: There are 12 entrants in a ski event and from these entrants first, second and third places to go to…

Q: A class with 30 students has ten men and nine seniors, and five of the men are seniors. How many…

A: The total number of students is n = 30.

Q: Thirty percent of high-school senior boys play in the school band. If a certain high school has 60…

A: Given: Total boys = 60  Play in the band = 30% = 30/100

Q: A regional honor society selected high school students from four cities. Fifteen percent of the…

A: Let there are total x students.  According to the question: 15% are from Arden. So 15% of x=0.15x…

Q: In a​ company, 95​% of the workers are women. If 115 people work for the company who​ aren't women​,…

A: Let the total no.of workers are X. Given, 115 people aren't women . Then ,no of women workers=X-115

Q: A grocery store has 4 brands of crackers and 8 different varieties of cheese. How many ways can Josh…

A:

Q: There are 46 runners in this year's school 5k race. The school has purchased 10 awards to give out…

A: Given, There are 46 runners in this year's school 5k race. The school has purchased 10 awards to…

Q: Apple decided to give an apple watch to the first person in line, an iPhone to the second person in…

A: From the given information, Apple decided to give apple product to all three persons who stand up in…

Q: The cafeteria is offering five salads, eight entrees, nine sides, and six desserts. How many…

A:

Q: In ms. Persons class, 75% of the students are boys. There are 18 boys in the class. What is the…

A: Given 75% are boys.

Q: A raffle is has four prizes: $500, $250, $100 and $50. If 100 people enter the raffle, in how many…

A: A raffle has four prizes, such that, $500, $250, $100 and $50.

Q: race with 28 entries awards prizes to the three fastest (first through third place). How many…

A: Number of prizes = 3

Q: Mr. H has a collection of 500 vessels. In how many ways can he name his favorite and second favorite…

A:

Q: amuel counted the number of pumpkins at each house he went trick or treating to. He saw that four…

A: we have to find total no. of pumpkin seen by samuel

Q: In a group of 100 people, 60 have a DVD player, 50 have a CD player, and 20 have neither. How many…

A:

Q: In a group of 65 people, 40 like cricket, 10 like both cricket and tennis. How many like tennis only…

A:

Q: The president has a team of 20 trusted bodyguards. In how many ways can the president choose 5…

A: Given,  The president has a team of 20 trusted bodyguards  We have to find the number of ways of…

Q: Mr. Jordan is traveling to Helsinki Finland with his Gibson Les Paul guitar for a competition during…

A: To find: How many different ways can he travel from Toronto to Helsinki.

Q: In a large family, 20 have parrots, 15 have rabbits, and 5 have both. One own a pet dog. How many…

A: In a large family, 20 have parrots, 15 have rabbits, and 5 have both. One own a pet dog. We need to…

Q: Jana has 10 blouses, 5 pairs of shoes, 5 skirts,and 5 hats. How many distinct 'outfits' does she…

A: No.of blouses=10 no.of pairs of shoes=5 no.of skirts=5 no.of hats=5

Q: For a class activity, a teacher put students into teams of 5. The teams were made up of 2 students…

A:

Q: A boy owns 5 pairs of pants, 7 shirts, 3 ties, and 3 jackets. How many different outfits can he wear…

A: Given that  A boy owns  5 Pairs of pants 7 shirts 3 ties 3 jackets

Q: From a group of 8 junior employees and 4 senior employees, how many different teams of four can be…

A:

Q: customer at a bookstore is choosing four paperback novels to take on a trip, from a shelf containing…

A: We have to find no. Of combinations possible.

Q: In a 10 team tournament, trophies are to be given to the top 3 places. In how many ways can the…

A: Given: There are 10 teams in the tournament and trophies are to be given to the top 3 places. Find…

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.