ou are collecting donations for a charity. Each donor gives you $10 with probability half and $20 with probability half. Assuming donors are independent, use Central Limit Theorem to estimate the probability that you have collected at least $1400 after taking in 100 donations

ou are collecting donations for a charity. Each donor gives you $10 with probability half and $20 with probability half. Assuming donors are independent, use Central Limit Theorem to estimate the probability that you have collected at least $1400 after taking in 100 donations

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: Throw one thousand dice at the same time and write and draw the probability distribution for the sum…

A: Let x denote the face number of a die. Then, x can take values 1,2,3,4,5 and 6. Suppose in 1000 dice…

Q: Sixty percent of consumers prefer to purchase electronics online. You randomly select 8 consumers.…

A: Let the R.V X denotes the number of consumers prefer to purchase electronics online and it follows…

Q: The probability that a lab passes a health and safety inspection is 97%. A health and safety…

A: Let X: number of labs.X has binomial distribution because trials are finite, trials are independent…

Q: n order to qualify for the next round, soccer team has to get at least 4 points in the next 2 games.…

A: The requirement of points for qualify in the next round is 4 points. Points on victory is 3 Points…

Q: Roll a die 3 times. Find the probability of getting at least one 6.

Q: You are ordering a hamburger and can get up to 7 toppings, but each topping can only be used once.…

A: 4 toppings can be chosen from 7 by 7C4 Ways 7C4 =

Q: Your favorite basketball player makes 79% of his free-throw shots. The probability that he does NOT…

A: Given that the basketball player makes 79% of his free-throw shots.so, P(he makes a free-throw…

Q: (a) Find the probability of the union between (getting the the flu) and (getting the flu shot). (b)…

A: Let A be the event that gets the flu. Let B be the event that gets a flu shot. P(A) = 0.2 P(B) =…

Q: A baseball player has a batting average of 0.36. What is the probability that he has exactly 4 hits…

A: Given that Number of trials n=7 Success of probability p=0.36 X~bin(n,p)

Q: For a fundraiser, 1000 raffle tickets are sold for $2 each with a chance to win $200 in cash. You…

A: The cost of each ticket is $2. The winning price is $200 in cash. Number of tickets sold = 1000

Q: basketball player makes foul shots 75 % of the time. If she takes 9 shots, what is the probability…

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: If the probability that the Yankees will win a baseball game is 60%, find the probability that the…

A: The probability that Yankees will win a baseball game is 60%, that is PWinning=0.60.

Q: A coin is tossed 12 times. Y= Number of Tails .Find the probability of getting (i) 3 tails (ii) at…

Q: e residents of a city rank the six cell phone companies in their area. What is the probability that…

A: The residents of a city rank the six cell phone companies in their area. P(Correct order)=?

Q: Yvonne tosses three coins. She is calculating the probability that at least one coin will land as…

Q: Packets at a certain node on the internet arrive with a rate of 100 packets per minute.Find the…

A: The arrival rate is 100 packets per minute that means 10010=10 packet per 6 seconds. The probability…

Q: find the probability that the educator is a female or an associate professor

A: We have given that an educators at a college were classified according to gender and academic rank.

Q: Alexandra and Martha take a math exam. The probability of passing this exam for Alexandra and…

A: Let A be the event for Alexendra take math exam B be the event for Martha take a math exam. Given…

Q: 68% of all bald eagles survive their first year of life. Give your answers as decimals, not…

A: We have to find given probability.

Q: On average, you receive four pieces of junk mail a day. Find the probability that you receive next…

A: Given that On average, we receive four pieces of junk mail a day. Than we have to find the…

Q: Scott is at a charity fundraiser and has a chance of receiving a gift. The odds in favor of…

A: Scott has a chance of receiving a gift.The odds in favor of receiving a gift are .

Q: High school seniors who are accepted to TCNJ have a 60% yield rate, meaning that 60% of accepted…

A: Given information, the percentage of accepted students decide to attend TCNJ is 60% and there are 3…

Q: At Shakey's Pizza, 45% of customers order pizzas with either sausage or pepperoni. If 31% get only…

Q: Estimate the probability of the event. Of 1936 people who came into a blood bank to give blood,…

Q: Use the chart below to answer questions 1-6 about the ACT's. The ACT is a standardized test used by…

Q: A school newpaper reporter decides to randomly survey 10 students to see if they will attend Tet…

A: Sample size 25% of students attend Tet festivities.

Q: A basketball player has a free throw percentage of 95%95%. What is the probability she misses at…

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

Q: In a class, the probability that a student owns a laptop is 0.2. Find the probability that the 5th…

A: We will consider the case of having a laptop as a success. Probability of success= 0.2 (given) So…

Q: In a very large industrial company, the average number of fatal accidents per month is 0.3. Find the…

Q: It is 10am. There is a 20% probability the friend will arrive within how many minutes?

A: The graph attached is the uniform probability density function for a friend who is x minutes late.…

Q: given month at this intersection: (a) at least 2 accidents will occur? (b) 5 or 6 accidents in half…

A: It is given that the random variable X i.e, intersection results follow Poisson distribution with…

Q: basketball player has a 72.5% free throw percentage. Find the probability the basketball player…

Q: Orson performs 7 exercises over the span of a week. 5 of his exercises involve skipping rope. If he…

A: If the probability of getting selected for each outcome is equal, then such outcomes can be termed…

Q: On average, you receive four pieces of junk mail a day. Find the probability that you receive next…

Q: A basketball player makes an average of 2 free throws out of every three attempts. If the player…

A: Out of total 3 throws, 2 are made by the player. So the probability of making a throw will be ratio…

Question

You are collecting donations for a charity. Each donor gives you $10 with probability half and $20 with probability half. Assuming donors are independent, use Central Limit Theorem to estimate the probability that you have collected at least $1400 after taking in 100 donations.

Video Video

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps with 7 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A baseball player has a batting average of 0.295. What is the probability that he has exactly 5 hits in his next 7 at bats?The probability is
The probability of winning a game of chance is 0.39. Find the probability of winning the game for the 7th time on the 12th attempt at the game.
The probability of winning the "grand prize" at a fortune spinning wheel is p=0.2. If you spin the wheel 100 times how many grand prizes can you expect to win
60% of all bald eagles survive their first year of life. Give your answers as decimals, not percents. If 36 bald eagles are randomly selected, find the probability that Exactly 19 of them survive their first year of life.
A basketball player has a free throw percentage of 94%. What is the probability she misses at least one of his next 25 free throws?
Approximately 2 percent of Americans ages 50-60 have lung cancer. A patient with lung cancer has a 91 percent chance of a positive test. A patient without lung cancer has a 8 percent chance of a positive test (a false positive result). Complete the table below, then answer the questions below the table. Give all answers as decimals to 4 decimal places. Positive test result Negative test result Total Has lung cancer Does not have lung cancer Total What is the probability a patient has lung cancer given that she just had a positive test? Give answer as decimals to 4 decimal places.