Suppose [Company Name] Cereals is running a promotion for its cereals by enclosing a prize in certain boxes of cereal. Suppose further the probability of a box containing a prize is $ p = 0.2 $. Let $ X $ be the number of cereal boxes purchased until a certain number of prizes have been received.1. Compute the probability of purchasing 10 cereal boxes to receive 4 prizes?2. Compute the probability of purchasing at least 4 boxes of cereal to receive 2 prizes.3. Compute the average number of cereals boxes purchased to receive 6 prizes?4. Compute the variance in the above experiment with 6 prizes?

Name: Suppose [Company Name] Cereals is running a promotion for its cereals
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: Suppose [Company Name] Cereals is running a promotion for its cereals by enclosing a prize in certain boxes of cereal. Suppose further the probability of a box containing a prize is $ p = 0.2 $. Let $ X $ be the number of cereal boxes purchased

Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Math

Probability

1.) Compute the probability of purchasing 10 cereal boxes to receive 4 prizes? 2.) Compute the probability of purchasing at least 4 boxes of cereal to receive 2 prizes. 3.) Compute the average number of cereals boxes purchased to receive 6 prizes?

1.) Compute the probability of purchasing 10 cereal boxes to receive 4 prizes? 2.) Compute the probability of purchasing at least 4 boxes of cereal to receive 2 prizes. 3.) Compute the average number of cereals boxes purchased to receive 6 prizes?

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...

See similar textbooks

Related questions

Q: The probability that the damages laptop is 0.2. Laptops are selected at a random. Find the…

Q: 7. A bag contains 30 balls numbered from 1 to 30. One ball is drawn at rändorm. Find the probability…

A: We want to find the probability that the (a) multiple of 5 or 7 (b) multiple of 3 or 7 Let E be…

Q: The cashier line of a canteen can facilitate up to 60 customers an hour. Frequenters of the canteen…

A: Form the given information, it is clear that, The Waiting time μ is 60. Average of the arrival…

Q: 2. From a box containing 4 dimes and 2 nickels, 3 coins are selected at random without replacement.…

A: To find the probability distribution for the total T of the 3 coins, we need to consider all…

Q: There are 10 balls in a bag 5 red, 2 blues w green and 1 yellow if you draw one ball from the bag…

A: As you have posted multiple questions, as per our guidelines we have provided answer for first…

Q: C. The probability that the the child will be older than 5 years old? | 0.8681 d. The probability…

A: Consider that the answer of the given part a, b, and c are the correct answer. And distribution is…

Q: 6. Data show that 20% of all patients who make appointments at a primary-care clinic never show If…

A: Please help with number 6 a, b, e Proportion of patients who make appointments and never show up =…

Q: particular minute there will be (1) (ii) More than 6 calls. 4 or fewer

Q: b. A life insurance salesman sells on average 4 life insurance policies per week. i. Find the…

Q: 9. A bag contains 2 blue marbles and 5 red marbles. Consider drawing marbles (no replacement). Find…

A: Ans - Given, A bag contains 2 blue and 5 red marbles. Total = 2 + 5 = 7 marbles

Q: 8. Ali records the number of cars that approach an intersection. He finds that an average of 2 cars…

A: The objective of this question is to find the probability that 3 or more cars will approach the…

Q: 32. The probability of a man hitting the target is 4 (i) If he fires 7 times, what is the…

Q: 20. Find the probability of drawing two Kings from a pack of cards in two successive draws, the card…

A: HERE FOR WITHOUT REPLACEMENT WE WILL USE HYPERGEOMETRIC MODEL.

Q: d. What is the probability that total waiting time is at most 8 min? e. What is the probability that…

Q: If three coins are tossed simultaneously, the probability of getting at least one head is

A: Given that three coins are tossed simultaneously. we have to find PROBABILITY of getting at least…

Q: uppose that the probability that an adult in America will watch the Super Bowl is 44%. Each person…

Q: A die is rolled 9 times. Find the probability of rolling no more than 3 fives. The probability of…

Q: 5. At a police station, on average, the reported number of accidents is three per day. Find the…

A: Given that, At a police station, on average, the reported number of accidents is three per day. i.e…

Q: The probability that the mean height for the sample is greater than 65 inches is (Round to four…

A: It is given that Mean, μ = 64.2 Sample size, n = 65 Standard deviation, σ = 2.55

Q: A bag contains 4 white, 7 black, and 6 green balls. What is the probability that a ball drawn at…

A: A bag contains 4 white, 7 black, and 6 green balls. There are 4+7+6 = 17 balls. Among the balls…

Q: 4. Toss a coin 100 times, find the probability that a Head will appear at most 43 times?

A: Given Let define a random variable X as, X: The number of times Head appears in experiment of…

Q: A high school baseball player has a 0.208 batting average. In one game, he gets 9 at bats. What is…

Q: Assume that private preschool costs in the city are normally distributed. The average amount that…

A: The given data is as follows:Population mean, Population standard deviation, Sample size,

Q: Find the set An U. U={1, 2, 3, 4, 5, 6, 7, 8, 9, 10} A= {4, 8, 9, 10} Select the correct choice…

A: U=1,2,3,4,5,6,7,8,9,10A=4, 8, 9, 10

Q: Students arrive at restaurant at an average rate of 5 in 15 minutes. 1. The probability that 3…

Q: 6. Six boys and six girls sit in a row. Find the probability that (a) the six girls sit together (b)…

Q: An Omani family has 3 children, then the probability that the three children will be al| boys is…

Q: Consider a food stall offering “Biryani” and “Pulao” at a distant place in Karachi. Since people in…

A: Given data, the probability that a customer would order biryani is p=0.8

Q: 38. A jar contains 6 red balls, 5 green balls, and 4 blue balls. If a ball is chosen random, find…

Q: probability distribution of the number of boys in a family with 4 children

A: Given that A family with 4 children. = n = 4 The probability distribution of number of boys in a…

Q: 6. Please help me ans this question well explained and calculated. 6.) The probability that a…

A: Given that The random variable X is the business person will cancel his reservation The probability…

Q: 1. The IE Falcons plays 14 games during the COE Basketball Tournament. In how many ways can the team…

A: Note- As per our policy we can answer only 1st question. If you want solutions for other, then you…

Q: 4.The probability of getting a passing grade for an exam is 0.4. What is the probability of getting…

A: Let X be the number of students took the exm when we get the third student who has the passing…

Q: . The chief of personnel of a company has come to the conclusion that 15% of employees check their…

A: Given that,Probability (p) = 0.15Number of cards(n) = 11

Q: 13) Approximately 59.4% of adults have added bleach to their laundry. Assume six adults are randomly…

A: Given n=6 P=0.594

Q: 1. A coin is tossed 10 times. Find the probability of getting a) at least 2 heads (Ans: 0.989)e b)…

Q: Q2. Determine the number of times a fair coin must be tossed so that the probability of the ratio of…

A: et us denote the number of tails as X and the total number of tosses is n. p^=x/n When fair coin was…

Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

Topic Video

Question

Suppose [Company Name] Cereals is running a promotion for its cereals by enclosing a prize in certain boxes of cereal. Suppose further the probability of a box containing a prize is $ p = 0.2 $. Let $ X $ be the number of cereal boxes purchased until a certain number of prizes have been received.

1. Compute the probability of purchasing 10 cereal boxes to receive 4 prizes?
2. Compute the probability of purchasing at least 4 boxes of cereal to receive 2 prizes.
3. Compute the average number of cereals boxes purchased to receive 6 prizes?
4. Compute the variance in the above experiment with 6 prizes?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Discrete Probability Distributions$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

18. The probability of winning a game in a casino is 0.4. A player plays 5 games in a row and each game is independent from another. What is the probability of winning all 5 games?
22. A bag contains 6 white, 4 red and 10 black balls. Two balls are drawn at random. . ind the probability that they will both be black.
1. From a bag containing 10 black and 20 white balls, a ball is drawn at random. What is the probability that it is black? Solution. Total number of balls in the bag = 10 + 20 = 30 Number of black balls = 10 Probability of getting a black ball or
Q3/ Explain each of the following branches, then choose the correct answer i. A box contains 3 orange balls, 3 green balls and 2 blue balls. Three balls are drawn at random from the box without replacement. The probability of drawing 2 green balls and blue balls is: ii. iii. one a. 3 b. 1 28 16 persons shake hands with one another in a party How many shake hands took place? a. 124 b. 120 c. 165 d. 150 - 1/1/12 28 C. 167 168 d. In a college 30% student fail in physics, 25% fail in mathematics and 10% fail in both. One student is chosen at random. The probability that he fails in physics if he has failed in mathematics is
pls help
4. A box has 6 black, 4 red, 2 white and 3 blue shirts. Two shirts are picked at random, find the probability of drawing 2 black shirts? a. 1/7 b. 2/15 c. 6/15 d. 1/8
2. On average, a saleslady in a department store spends with her customer is 4 minutes. a) Find the probability that the saleslady spends more than 3 minutes with a customer? b) Find the probability that the saleslady spends between 4 to 5 minutes with a customer?
The number of dollars a round trip plane ticket costs from North America to Europe is normally distributed with a mean of $1,780 and a standard deviation of $335. What is the probability a randomly selected ticket costs between $775 and $2,785? Enter your answer in decimal form. For example. 75% should be entered as 0.75
The probability of visiting the zoo is 0.80. The probability of visiting the caverns is 0.55. The probability of visiting both is 0.42. What is the probability of the visiting the zoo or the caverns? 1) 0.93 2) 0.44 3) 1.35 4) 0
6. PLEASE HELP me answer this question well explained and calculated. 6.) The probability that a business person will cancel his reservation at the Place des Pins hotel is about 10%. Knowing that the hotel has 56 reservations. A.) determines the probability that at least 10 business people will cancel their reservation; B. determines the probability that exactly 2 business people will cancel their reservation. C.) determines the probability that 5 to 10 people in the business community will cancel their reservation.