Answered: Three fair coins are tossed…

Three fair coins are tossed simultaneously until all three show that same face. What is the probability that they are tossed more than three times?

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 amount of snowfall, in inches, for three consecutive winter days each follows an exponen- tial…

A: Introduction: Denote X1 as the amount of snowfall (inches) on the first day, X2 as the amount of…

Q: Five males with an X-linked genetic disorder have one child each. The random variable x is the…

A: Given that Probability mass function of X in the question

Q: Using historical records, a manufacturing firm has developed the following probability distribution…

Q: Assume the geometric distribution applies. Use the given probability of success p to find the indica…

A: It is given that p = 0.80.

Q: Suppose the data to the right represent the survival data for the a certain ship that sank The males…

Q: Two dice are rolled simultaneously until I get 3 doubles (i.e. both get the same outcome on the…

A: Given that two dice are rolled simultaneously until I get 3 doubles (i.e. both get the same outcome…

Q: Part D. Does the function f(r) = ()p" for a = 1,2 describe a finite probability distribution on the…

A: We have been given the function f(x) as follows, We need to check whether the function f(x)…

Q: The probability that no cars come in for repair on a given day is about

A: The probability formula is, Probability=Favourable outcomesTotal outcomes

Q: help me please

A: Solution According to guidelines we solve first three subpart

Q: A factory is produce a glasses, the probability of damage one is 0.08. A sample of 6 glasses is pull…

A: Probability Distribution: Let X be a random variable. Then the probability distribution of X is…

Q: find out probability for given z score -1.5 and 1.5 are value of z score

Q: What is the probability represented by the orange shaded rectangle? number (rtol=0, atol=0.0001)…

A: Employee performance rating scores for the company Pfizer Inc. are distributed between 30.2 and 95.2…

Q: Q. NO 1 Probability Distribution (Discrete Random Variable) The probability distribution of random…

A: Expected value: It is the product of the probability of the value to the value and sum of all those…

Q: he data represents the test results for a certain disease assume one and dividual from the group is…

A: Given that the data represents the test results for a certain disease. Yes No Total Positive…

Q: A lumber inspector has found that the face of 2 by 8's lumber produced at her mill averages 4 knots…

A: Given: λ=4 No. of knots on a board follows Poisson distribution

Q: Using the binomial distribution, If n=8 and p=0.8, find P(x=6) A high school baseball player…

Q: The distribution of the amount X you’re getting out of one game is X 2 5 8 probability 0.25 0.5…

A: Given data is X 2 5 8 probability 0.25 0.5 0.25

Q: O Three coins are tossed once. let the random Varlable (X) denote tue number of heads that appears…

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

Q: Find the probability and interpret the results. If convenient, use technology to find the…

A: Given data ,n=43μ=65,500σ=6200P(X<62000)=?

Q: Suppose the frequency distribution of customer satisfaction ratings is given below: Rating…

Q: Assume that ticket prices for an event are normally distributed. What z-value corresponds to the 1%…

A: we have to find z value..

Q: For next year, 49% of families will go on a vacation. If we pick a random sample of 5 families, find…

Q: ds lost. 1) More than 10 pounds 2) Between 8 pounds and 11 pounds

A: Let , X be the weight loss for the first month of a diet program. Here , X has uniform distribution…

Q: Q3: A business measurement is a random variable defined by a normal distribution. The variance of…

A: The variance of this population is 2 .The sample variance for 21 randomly selected observations from…

Q: Q5- The weekly average number of airplane crashes is 3. Whatis the probability that there will be…

A: When the number of occurrences is very low i.e negligible for a very long period of time then the…

Q: In the binomial distribution the important point is that the two а. outcomes are complementary b.…

Q: Assume the geometric distribution applies use the given probability of success p to find the…

A: Question: Assume the geometric distribution applies use the given probability of success p to find…

Q: waiting time for customer service call follows the uniform distribution between 0 and 8 minutes. The…

A: Given that X~U(a,b) a=0 , b=8

Q: Find the probability of success P for a binomial distribution, if n = 6 and 4 P(x-4)= P(x=2)

Q: g is the probability distribution of a random variable that represents the number of extracurricular…

A: The problem is asking for the probability that a student participates in at most three activities.…

Q: The number of accidents on a particular day has a Poisson distribution with parameter A = 1/2, and…

Q: 5:04 93% The discrete random variable X has the probability distribution given by: 10 P(X = x) 0.2…

Q: Part 1 of 3 P(patient has had exactly 2 tests done) olo

A: We have given that the frequency distribution the shown the number of medical tests conducted on 37…

Q: CLT for Proportions The proportion of taxpayers who file within 45 days of the tax season is 36.4%.…

Q: 7 The probability that a bachelor's degree recipient in 2014 majored in biology is 20 Find the odds…

Q: You are appearing at 6 consecutive exams. Probability for you to pass each of the exam, p = 4/5.…

A: From the provided information, Number of exams = 6 Probability for you to pass each of the exam, (p)…

Question

Three fair coins are tossed simultaneously until all three show that same face. What is the probability that they are tossed more than three times?

Is my answer correct?

Under geometric distribution: P(X>=t) = (1-p)^t; t=number of failures before first success

All the possible outcomes in one toss: HHH, HHT, HTH, THH, TTH, THT, HTT, TTT

p=P(all three coins are the same face in one toss) = 2/8 = 1/4

Toss 1: Fail, Toss 2: Fail, Toss 3: Fail, Toss 4: Success

P(X>=3) = (1-1/4)³= 0.421875

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: Definition and Concept

VIEW

Step 2: Solution :

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Suppose the number of rides that a visitor enjoys at Disney Find the mean number of rides for a Disney World visitor. World during a day is a random variable with the (Use decimal notation. Give your answer to two probability distribution given in the table. decimal places.) 5 6 7 8 9 10 11 12 p(x)0.040.07 0.09 0.120.200.300.130.05
Determine distribution the shape of the probability for the problem of random walk considering N = 20 and interpret the results to: p = q = 1/2 p = 0.6 e q = 0.4
QI For the next data if (k = 6 , L= 6 ), The probability distribution is: * 12 16 17 17 20 21 22 25 25 26 28 30 32 32 34 35 39 41 43
Sephora uses a continuous distribution to describe the sales from one of their beauty events. From business intuition the manager sees generally sales are from $100,000 to $150,000 in their location. What is the probability the sales is more than 120,000?
Need help with this question. Thank you :)
Q5: Please answer all sections
HYPERGEOMETRIC DISTRIBUTION: Suppose your friend has 10 cookies, 3 of which are chocolate chip. Your friend randomly divides the cookies equally between herself and you. What is the probability that you get all the chocolate chip cookies? *
The amount of time, T, that the effect of caffeine is felt on your body after drinking a cup of coffee is given by a continuous random variable with an exponential distribution. On average, caffeine is felt for about 5 hours after drinking the cup. (Answer part a-c) a. What is the probability that the effect lasts at least 4 hours? b. What is the probability that the effect lasts fewer than 6 hours? c. You usually go to sleep at 11:30 pm, and drink exactly one cup of coffee a day. Suppose you wish to guarantee at most a 5% chance of feeling the effects of caffeine when you go to sleep. What's the latest that you should drink your only cup of coffee?
Q3: fill in the blank for all parts for this question
Which one of the following statements is True? The Odds against A equals 1 – Odds in favor of A. For a mound shaped distribution if the skew is positive then the mean is greater than the median. P(n, r) = C(n, r) / r! The probability of an event equals the number of favorable outcomes divided by the number of unfavorable outcomes. A Bimodal distribution is symmetric.
R3
Q2: A random variable X has a mean = 8, a variance o² = 9, and an unknown probability distribution. Find P(X-826).