Question 2The table shows the numbers of students in grades 6, 7, and 8 identifying their favorite winter sports. Use thetable to find the requested probabilities.GradeSnowboarding SkiingSixth2718Seventh2216Eighth2023a. Calculate P(student chooses skiing)b. Calculate P(seventh grader| chooses snowboarding)c. If a brother-sister combination of students is in grade 6 and 8 respectively, what is the probability thatthe brother chooses skiing and the sister choses snowboarding?Question 3A pizza parlor has 8 different meat toppings for pizza, 7 different cheese toppings, and 6 different vegetabletoppings.a. How many different 5 topping pizzas are possible?b. How many 5 topping pizzas can be made that have 2 meat toppings, 2 cheese toppings, and 1vegetable topping?c. What is the probability that, if you have a 5 topping pizza, it has exactly 2 meat toppings, 2 cheesetoppings, and 1 vegetable topping?

"Since you have asked multiple questions, we will solve the first question for you. If you want any…

Answered: Question 2 The table shows the numbers…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Mindy is a baker, she wants to make a special treat for Valentine's day for her customers but needs help choosing which one. She simulates 120 customers choosing from among 5 different treats. Her simulation results are in the table below. Based on data from the simulation, what is the probability that the treat chosen by a random customer will be a strudel?
There are four horses named An, Bob, Cat, and Don. They are in a race where no ties are possible. Ann is twice as likely to win as Cat. Cat is twice as likely to win as Dan. Bob has a 30% chance of winning. What is the probability that Ann wins? 20% 30% 40% 50% 60% 70% 80% 90%
The Chunky-Wunky Candle Company ships candles all over the world. The probability that a candle is broken during shipment is 3%. In a shipment of 3 candles, what is The probability that all three are broken. The probability that none of the candles are broken. The probability that the first candle unpacked is not broken and the rest are broken.
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
Five players play a game where five distinct numbers numberedone through five are randomly distributed to each player. Two players choosea number and compare their numbers. The player with the higher numberwins. The game begins with players 1 and 2 comparing their numbers. Thewinner compares their number with player 3’s number and so on. IfXde-notes the number of times player 1 wins, find the probability distribution ofX.
Charles has six songs on a playlist. Each song is by a different artist. The artists are Joey McIntyre, Whitney Houston, Aaron Carter, Shakira, Shania Twain, and Phil Collins. He programs his player to play the songs in a random order, without repetition. What is the probability that the first song is by Aaron Carter and the second song is by Joey McIntyre? Write your answer as a fraction or a decimal, rounded to four decimal places. The probability that the first song is by Aaron Carter and the second song is by Joey McIntyre is .
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?
A child has blocks. The probability of choosing a green one is 7/9. What are the odds against choosing a green block
In government data, a family consists of two or more persons who live together and are related by blood or marriage. Choose an American family at random and count the number of people it contains. Here is the assignment of probabilities for your outcome:Number of persons 2 3 4 5 6 7+Probability 0.42 0.23 0.21 0.09 0.03 0.02What is the probability that the family you choose has more than two people?
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 has a cat and a dog? Has a dog Does not have a dog Has a cat 5 2 Does not have a cat 6 11
14 The duration Y of long-distance telephone calls (in minutes) monitored by a station is a random variable with the properties that P(Y = 3) = 0.2 and P(Y= 6) = 0.3. Otherwise, Y has a continuous density function given by [ye-Y13, f(y) = y > 0, elsewhere. The discrete points at 3 and 6 are due to the fact that the length of the call is announced to the caller in three-minute intervals and the caller must pay for three minutes even if he talks less than three minutes. Find the expected duration of a randomly selected long-distance call in minutes. min
Use the table below to find the chance that a randomly selected person on the student government board is either has off-campus housing or is a sophomore. Students on the Student Government Board Classification On-Campus Housing Off-Campus Housing Freshman 1 Sophomore 3 Junior 0. Senior 4. Graduate Student 3.

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