A3: Suppose a player plays a game of chance with probability 0.3 that they are successful and 0.7 that they fail. i. What is the probability that they will win three times if they play the game 8 times? ii. ‘One of the assumptions of the binomial distribution is that the trials are independent’. Is this statement true or false? Explain. iii. What is the expected value of wins if the player

A3: Suppose a player plays a game of chance with probability 0.3 that they are successful and 0.7 that they fail. i. What is the probability that they will win three times if they play the game 8 times? ii. ‘One of the assumptions of the binomial distribution is that the trials are independent’. Is this statement true or false? Explain. iii. What is the expected value of wins if the player

Name: A3: Suppose a player plays a game of chance with probability 0.3 that
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: A3: Suppose a player plays a game of chance with probability 0.3 that they aresuccessful and 0.7 that they fail.i. What is the probability that they will win three times if they play the game 8times?ii. ‘One of the assumptions of the binomial distrib

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: 9. Suppose that a grocery store purchases 5 cartons of skim milk at the wholesale price of $1.20 per…

A: For the distribution of the number of cartons that are sold from this lot is given as…

Q: A. What is the number of trials? Answer: B. What is the probability of "success"? Answer: Chiny…

A: It is given that the number of trials are independent with probability of success p = 24% = 0.24 and…

Q: u are bidding on six items available on an online shopping site. You think that for each bid you…

A: Given: Sample size, n=6 Chance of winning the bid p = 20% = 20100=0.20 The outcomes of the six bids…

Q: Suppose you go to Alaska in February where the chance of snow is .90 (90 percent). You are there for…

Q: The television show Pretty Betty has been successful for many years. That show recently had a share…

A: Given,n=10p=0.31q=1-pq=1-0.31q=0.69Let a random variable X~Binomial(n=10 , p=0.31)P(X=x)=10x 0.31x…

Q: d. Use normal distribution (approximation) to answer part c. Is your answer similar to part c? Show…

A: Given: Sample size n = 15 P( who spend more time playing video games) = 3/5 = 0.60

Q: At a ski resort, each day's weather in the month of December can be treated as independent from each…

A: Utilities binomial pmf to calculate the probability.

Q: 43% of adults say cashews are their favorite kind of nut. You randomly select 12 adults and ask each…

A: From the provided information,p = 0.43n = 12The process follows binomial distribution as:X~B (12,…

Q: experiment consists in tossing a pair of fair dice. If the sum showing on the dice is 7, or 9, what…

Q: ine is causing quality problems as 4% of the engine parts produced on the machine have been found to…

A: Given, the proportion of defective parts produced on the machine (p) = 0.04 sample size(n)=50 Let…

Q: Students come randomly and independently at the cashier’s window at the rate of 30 students per hour…

Q: The maximum temperature reached on any day can be classified as above freezing or below freezing. In…

Q: who are offered admission Because Past experience shows that about 83% of the students accept, the…

A: c) The value of n is 1200 and the value of p is 0.83.

Q: Ralph’s Gas Station is running a giveaway promotion. With every fill-up of gasoline, Ralph gives out…

A: It is given that n=7 and p=0.25.

Q: 2- Adish contains 8 red jellybeans, 5 yellow jellybeans, 3 black jellybeans, and 4 pink jellybeans.…

Q: Garrett buys a bag of cookies that contains 4 chocolate chip cookies, 6 peanut butter cookies, 5…

A: There are 4 chocolate chip, 6 peanut butter, 5 sugar and 7 oatmeal cookies in the bag. So, total…

Q: Suppose that a chewing gum company claims that 87% of dentists recommend their chewing gum. Dustin…

Q: 5. A parent takes a child to the county fair. There is an exhibit where you can win a stuffed animal…

Q: In a binomial distribution with p=0.02 and n=70, what is the actual probability of three success?…

Q: 2. You are invited to play a game in which you roll two fair dice. If you roll a 7, you eds- in…

Q: 3 students are choosing between loose leaf, hardback and electronic texts. Studies have show that…

Q: Joe is playing an arcade game and has 8 chances to knock down the moving ducks. A person playing…

A: 1.Find the probability that Joe hits the fourth duck:A person playing the Arcade game hits the…

Q: What is the probability that exactly 3 close too early.

A: 33% of the teenagers in a city think that shopping malls Close too early. 25 teenagers are randomly…

Q: In a gambling game there is a 15% chance that you will lose 10 dollars, 25% chance that you will…

A: (b) Determine the expected value E(X)=15100-10+251000+601002=-1.5+0+1.2=-0.3 Since the expected…

Q: Suppose that a random sample of 20 computer owners is selected and that 14 have a firewall…

A: True proportion of computer owners who have a firewall installed is 0.40 So, probability that a…

Q: Suppose you have two six-sided dice where each side is equally likely to land face up when rolled.…

A: Given: Two dice are rolled All outcomes are equally likely Sample space, S=x,y: x,y=1,2,3,4,5,6…

Q: What is the probability that you will have more than 10 vegetarians attending your event? What is…

A: Given that Population proportion p=5%=0.05 Sample size n =300 NOTE:- According to bartleby…

Q: bs Fingerprint , "Entry Level Field Investigator", and "Forensic Accountant/Auditor." She found that…

A: Given Data Probability of success,p = 0.1 Probability of failure,q=(1- 0.1 )= 0.9…

Q: The television show 50 Minutes has been su years. That show recently had a share of 1 that among the…

A: The survey of 14 households; n=14 16% turned to 50 minutes; p=0.16

Q: line diagnosed as being due to an initial repair that was incomplete. What was the probahility that…

A: HERE USE PROBABILITY TREE define events as follows I = incomplete repair H = initial repair service…

Q: Q1. A type of chocolate bar does not contain a prize voucher with probability 0.9. Whether or not a…

A: Note: As per Bartleby’s guideline for more than three sub part only first three are to be answered…

Q: 1. A machine produces 15% defective components. In a sample of 5, drawn at random, calculate, using…

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

A3: Suppose a player plays a game of chance with probability 0.3 that they are
successful and 0.7 that they fail.
i. What is the probability that they will win three times if they play the game 8
times?

ii. ‘One of the assumptions of the binomial distribution is that the trials are
independent’. Is this statement true or false? Explain.

iii. What is the expected value of wins if the player

Video Video

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

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

The television show Lost has been successful for many years. That show recently had a share of 24, meaning that among the TV sets in use, 24% were tuned to Lost. Assume that an advertiser wants to verify that 24% share value by conducting its own survey, and a pilot survey begins with 15 households have TV sets in use at the time of a Lost broadcast.Find the probability that none of the households are tuned to Lost.P(none) = Find the probability that at least one household is tuned to Lost.P(at least one) = Find the probability that at most one household is tuned to Lost.P(at most one) = If at most one household is tuned to Lost, does it appear that the 24% share value is wrong? (Hint: Is the occurrence of at most one household tuned to Lost unusual?) yes, it is wrong no, it is not wrong
You are about to start playing matches of a video game, but you cannot play all night because you must study for your exam tomorrow. Suppose the probability of winning each match with probability 0.8 and the outcome of each match is independent. You tell yourself that you will stop playing and start studying after losing 3 matches. What is the probability that you play at most 10 matches? Hint: Use the negative binomial distribution. You need to define a random variable.
The television show Pretty Betty has been successful for many years. That show recently had a share of 19, which means, that among the TV sets in use, 19% were tuned to Pretty Betty. An advertiser wants to verify that 19% share value by conducting its own survey, and a pilot survey begins with 14 households have TV sets in use at the time of a Pretty Betty broadcast. Find the probability that none of the households are tuned to Pretty Betty. P(none) = Find the probability that at least one household is tuned to Pretty Betty. P(at least one) - Find the probability that at most one household is tuned to Pretty Betty. P(at most one) - If at most one household is tuned to Pretty Betty, does it appear that the 19% share value is wrong? (Hint: Is the occurrence of at most one household tuned to Pretty Betty unusual?) no, it is not wrong O yes, it is wrong
on a paper
PLS HELP !
42% of adults say cashews are their favorite kind of nut. You randomly select 12 adults and ask each to name his or her favorite nut. Find the probability that the number who say cashews are their favorite nut is (a) exactly three, (b) at least four, and (c) at most two. If convenient, use technology to find the probabilities. (a) P(3) = (b) P(x ≥ 4) = (c) P(x≤2)= (Round to the nearest thousandth as needed.) (Round to the nearest thousandth as needed.) (Round to the nearest thousandth as needed.)
3. In the Healthy Hand-washing Survey, it was found that 64% of adult Americans operate the flusher of toilets in public restrooms with their foot. Suppose a random sample of n=20 adult Americans is obtained and the number x who flush public toilets with their foot is recorded. (a) Explain why this is a binomial experiment. (b) Find and interpret the probability that exactly 12 flush public toilets with their foot.
Suppose it is known that 3% of cigarette smokers develop lung cancer, whereas only 0.5% of non-smokers develop lung cancer. Furthermore, suppose that 30% of adults smoke. If it is known that a randomly chosen adult had developed lung cancer, what is the probability that the person is a smoker? Ans: (0.72)
I. Boston Children’s Hospital estimates that 90% of Americans have had chickenpoxby the time they reach adulthood.32(a) Suppose we take a random sample of 100 American adults. Is the use of the binomial distributionappropriate for calculating the probability that exactly 97 out of 100 randomly sampled Americanadults had chickenpox during childhood? Explain.(b) Calculate the probability that exactly 97 out of 100 randomly sampled American adults had chickenpoxduring childhood.(c) What is the probability that exactly 3 out of a new sample of 100 American adults have not hadchickenpox in their childhood?(d) What is the probability that at least 1 out of 10 randomly sampled American adults have had chickenpox?(e) What is the probability that at most 3 out of 10 randomly sampled American adults have not hadchickenpox?
A bet on ''black '' Roulette has a probability of 18/38 of winning . If you win, you double your money. You can bet anywhere from $1 to a $ 100 on each spin. a.Suppose you have $10 , and are going to play until you go broke or have $20. What is your best strategy for playing. Explain using the information you learned in this module materials Such as expected value. b. Suppose you have $10 and your going to play until broke or have $30. What is your best strategy for playing. Explain using information learned in this modules, such as expected value.