A Latin DJ has an archive of thousands of songs in Spanish. 30% of the songs are Reggaetón, 35% are salsa, 20% are merengues and 15% are bachata. If this DJ plays a sequence of 12 different songs, selected at random, find the probability that 4 reggaetón songs will come out. , 5 sauce, 2 meringues and 1 bachata. Express you answer in decimal by rounding to four decimal places.

Q: A coffee shop receives on average of 5 orders for every 30 minutes. What is the probability that…

A: A coffee shop receives on average of 5 orders for every 30 minutes. What isthe probability that they…

Q: At a members-only club, 58% of the members play poker and drink whiskey and 77% play poker. If a…

A:

Q: A high school baseball player has a 0.189 batting average. In one game, he gets 6 at bats. What is…

A: Given data, p=0.189 n=6 P(X≥4)=?

Q: What is the probability that Mike correctly identifies all 3 songs in the correct order?

A:

Q: Find the probability that in a randomly selected office hour, the number of student arrivals is 5.

A: Let X denote the number of students arrive in an office hour.

Q: Suppose a jar contains 14 red marbles and 40 blue marbles. If you reach in the jar and pull out 2…

A: Given that: A jar contains 14 red marbles and 40 blue marbles. We reach in the jar and pull out 2…

Q: A high school baseball player has a 0.218 batting average. In one game, he gets 7 at bats. What is…

A: We have to find given probability.

Q: An airline company knows by experience that on average 5 % of passenger who have reserved a seat…

A: We can solve this problem by using binomial distribution.  Given 5% of people not arrive in the…

Q: A basketball player has an 80% chance of making each free throw. What is the exact probability that…

A: If you like the solution then please give it a thumbs up.. The Answer is:               Result =…

Q: If one student is chosen at random, find the probability that the student was male OR received a…

A: Given that Total number of students = 73 Number of males = 33 Number of students with grade B = 35

Q: Some three-digit numbers, such as 101 and 313, read the same forward and backward. If you select a…

A: Given,  Three digit numbers that read the same forward and backward. To find the probability that…

Q: A high school baseball player has a 0.302 batting average. In one game, he gets 8 at bats. What is…

A: Solution: Let X represent the number of hits made by player in the game.  The baseball player has a…

Q: Out of all of the emails a secretary receives, she receives one from her boss 33% of the time. She…

A: Given information P (Receiving one mail from her boss) = 0.33 P (Randomly driving to work instead of…

Q: A high school baseball player has a 0.245 batting average. In one game, he gets 5 at-bats. What is…

A: The probability mass function of Binomial distribution is,  P(X= x) = nCx (p)x (1-p) n-x ; x=…

Q: Jan has a bag of 12 marbles, consisting of 4 red marbles and 8 blue marbles. If Jan randomly…

A: Given information: Total number of marbles in a bag=12. Number of red marbles in the bag= 4. Number…

Q: P3 Harvard students graduate with honors =

A: Let , X be the number of Harvard students graduate with honors Here , X→B(n=3 , p=0.48) The…

Q: Lu As only 3 students came to attend the class today, find the probability for exactly 4 students to…

A:

Q: A group of 9 people is randomly chosen from 5 freshmen, 3 sophomores, 6 juniors and 4 seniors to…

A: Given information: Number of freshmen, f = 5 Number of sophomores, s = 3 Number of juniors, j = 6…

Q: A high school baseball player has a 0.231 batting average. In one game, he gets 9 at bats. What is…

A: A high school baseball player has a 0.231 batting average it means that they'll get a hit in any one…

Q: If you are dealt 4 cards from a shuffled deck of 52 cards, find the probability that all 4 cards are…

A: In a deck of 52 cards, there are 13 clubs.  We can pick 4 clubs from 13 clubs in 13C4 ways   There…

Q: A student and a professor each choose a number between 1and 9. What is the probability that the two…

A:

Q: A high school baseball player has a 0.171 batting average. In one game, he gets 7 at bats. What is…

A: Given: Sample size (n) = 7 Probability of success (p) = 0.171 Probability of failure (q) =1-p =…

Q: A history class is comprised of 3 female and 4 male students. If the instructor of the class…

A: Given,   Number of female = 3 Number of male = 4   Total = 7   The objective is to find the…

Q: If the probability that the average freshmen will not complete 5 years of an engineering course is…

A:

Q: Your college ID number consists of 8 digis.  Each digit can be 0 thru 9 and each digit cannot be…

A: The probability of getting your college ID number when randomly generating eight digits is 0.0000006…

Q: Jackson has a bag of candy full of 19 strawberry chews and 1 cherry chew that he eats one at a time.…

A: Given that  Strawberry chews = 19 Cherry chews = 1  Total chews = 20

Q: A high school baseball player has a 0.246 batting average. In one game, he gets 8 at bats. What is…

A: Given information- We have given a problem of the binomial distribution. Batting average of a…

Q: If 30 tickets are sold and three prizes are to be awarded, find the probability that one person will…

A: Given, 30 tickets are sold And there are 3 winning prizes.

Q: There are 3 red, 4 green, 4 white, and 5 blue marbles in a bag. If you select 2 marbles, what is the…

A:

Q: A high school baseball player has a 0.179 batting average. In one game, he gets 8 at bats. What is…

A:

Q: A high school baseball player has a 0.221 batting average. In one game, he gets 8 at bats. What is…

A: Consider that X is random variable defined as player hit the balls.Provided information…

Q: If four blue marbles and eight non-blue marbles make a probability of 0.33, how many non-blue…

A: Let n be the total number of marbles .Pfour  blue marbles and 8 non-blue marbles=0.33⇒…

Q: A high school baseball player has a 0.263 batting average. In one game, he gets 9 at bats. What is…

A:

Q: If the probability that a randomly selected 24-year-old male survives the year is 0.9985, explain…

A:

Q: What is the probability that he will miss at least one of them?

A: here given ,  Suppose in an NBA game playoffs 2021. Lebron James has a 72% probability of making…

Q: Suppose a jar contains 11 red marbles and 10 blue marbles. If you reach in the jar and pull out 2…

A:

Q: A high school baseball player has a 0.211 batting average. In one game, he gets 8 at bats. What is…

A:

Q: A high school baseball player has a 0.203 batting average. In one game, he gets 6 at bats. What is…

A: Binomial distribution: The binomial distribution gives the probability of number of successes out of…

Q: You randomly choose 5 different songs in order from a playlist of 18 songs. What is the probability…

A:

Q: A high school baseball player has a 0.177 batting average. In one game, he gets 7 at bats. What is…

A:

Q: Your college id number consists of 8 digits.  Each digit can be 0 thru 9 and each digit can be…

A: The first digit cannot be zero but numbers can repeat, than there will be 9 options for the first…

Q: Suppose a jar contains 16 red marbles and 22 blue marbles. If you reach in the jar and pull out 2…

A:

Q: If the probability that the average freshman will not complete 5 years of an engineering course is…

A: Given : probability that the average freshman will not complete 5 years of an engineering course is…

Q: A telemarketer will give an average of 4 calls in an hour. Find the probability that he will give at…

A:

Q: A high school baseball player has a 0.203 batting average. In one game, he gets 5 bats. What is the…

A: Given information- Given problem is of binomial distribution. Probability of success, p = 0.203 No.…

Q: Suppose you have created a new playlist made up of 6 songs (2 rock, 2 hip-hop, and 2 trance). Find…

A: Given that there is a total of 6 songs. Out of the 6 songs 2 are rocks, 2 hip-hops, and 2 trances.

Q: find the probability that in a sample of 100 bulbs, 2 will be defective.

A: Let p be the probability that an electric bulb is defective. Given that p = 3% = 0.03 Let X denote…

Q: At the beginning of the semester, each of the 5 students in a class selected a nickname.…

A: Here Given tha Names of 5 Students A,B,C,D,E And their nickname are a,b,c,d,e

Q: A high school baseball player has a 0.244 batting average. In one game, he gets 8 at bats. What is…

A: The probability of success is p=0.244. The number of trials are n=8. We need to compute P(X≥5).

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.