Answered: suppose that X is a random variable…

suppose that X is a random variable giving the number of tosses necessary for a fair coin to turn up heads. Find the probability that X is even.

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: manufacturing machine has a 10% defect rate if 8 items are chosen at a random what is the…

A: It is given that A manufacturing machine has a 10% defect rate i.e. probability that a machine has…

Q: Juan has a fair six-sided die, if Juan rolls the die twice in a row, what is the probability that…

Q: box A contains 5 nickels and 3 quarters, while box b contains 8 nickels and 4 quarters. A coin is…

A: Consider, A and B be the event that show that coin is chosen from box A and box B respectively. N is…

Q: Suppose 59% of vegetarians are women. Suppose a random sample of 500 vegetarians is taken. What is…

A: Answer: From the given data, Population proportion of vegetarians who are women (P) = 59% = 0.59…

Q: Suppose that the probability an archer will hit a target is 0.35 and that each shot is independent.…

A: The result of the archer's shot is independent. The probability that an archer will hit a target =…

Q: The probability that randomly selected American adult middle class 0.51 Suppone two American is the…

Q: Assume that male and female births are equally likely and that the birth of any child does not…

A: Let x be the number of births are boys which follows binomial distribution with sample size 10 and…

Q: Suppose there are 2 red balls and 4 yellow balls in a box. Two balls are drawn from the box without…

A: Suppose there are 2 red balls and 4 yellow balls in a box.

Q: Suppose a certain towing service receive requests for assistant in an average of 10 per hour. Let…

A: Given, the number of requests for assistance received by a towing service is a Poisson process with…

Q: Regifting is defined as the act of taking a gift that has been given to you and presenting it as a…

A: Given,n=10p=0.85q=1-0.85=0.15A random variable X~Binomial(n=10 , p=0.85)P(X=x)=Cx(0.85)x(0.15)10-x…

Q: A subway train will arrive every 8 minutes. Assume the time for the next train to arrive is a…

A: Solution: If X be the uniform random variable, then the probability density function of X is Let X…

Q: A physics class has 50 students. Of these, 18 students are physics majors and 16 students are…

A: From the given information, total number of students n(S) = 50. Number of physics majors n(Physics)…

Q: Assume that the incidence of a certain virus in a particular population is 4% and that a test…

A: It is given that, the incidence of a certain virus in a particular population is 4%.

Q: A fair die is thrown 6 times. Find the probability of rolling a "two" on exactly 4 of the 6…

A: Explained below

Q: The chance of rain is 20%, the chance of it being sunny is 60%, and the chance of it being sunny and…

A: Given that, The chance of rain is 20% The chance of it being sunny is 60% The chance of it being…

Q: Out of a group of 10 patients treated with a new drug, 4 suffered a relapse. If 3 patients are…

Q: When 5 digits( between 0 and 9) are randomly selected with replacement for a lottery ticket, what is…

Q: Suppose a jar contains 19 red marbles and 25 blue marbles. If you reach in the jar and pull out 2…

A: The Probability that both are red = 0.181

Q: The table below shows the number of deaths in the U.S. in a year due to a variety of causes. For…

A: We have to find out given probability.

Q: A child is allowed to have 2 treats from a bag containing 21 chocolates, 11 hard candies, and 10…

Q: A machine produces a total of 12,000 bolts a day which are on average 3% defective. Find the…

A: Let X be the random variable for the number of bolts that are defective. Here X ~ Bin (n = 600, p =…

Q: Suppose a fair coin is tossed 3 times. Find the probability distribution for the number of tails…

A: Given : Experiment : A fair coin is tossed 3 times Possible outcomes : Ω = { HHH , HHT , HTH , THH…

Q: On average there are 3 leaks for every 100 miles of a pipeline. What is the probability that a…

A: On average there are 3 leaks for every 100 miles of a pipeline

Q: At the cartons produced by a company 3% have a puncture 6% have a smashed corner and 0.4% have both…

A: Given that , cartons produced by a company, 3% have a puncture, 6% have a smashed corner, and 0.4 %…

Q: A physics class has 50 students. Of these, 17 students are physics majors and 18 students are…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: A box contains 5 red and 4 green marbles. A sample of 2 marbles is randomly taken. Let X be the…

A: In question, Given that A box contains 5 red and 4 green marbles. A sample of 2 marbles is randomly…

Q: 4 out of 100 televisions in stock are defective. If you select two television la at random, find the…

A: It is given that the 4 out of 100 televisions are defective.

Question

suppose that X is a random variable giving the number of tosses necessary for a fair coin to turn up heads. Find the probability that X is even.

Video Video

Expert Solution

Step 1

Given that

Let X denotes the random variable giving the number of tosses for a fair coin to turn up heads

We have to find the probability that X is even

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

Suppose that exactly half the households in a city whose population is 5 million prefer white bread, while half prefer whole wheat. Find the probability that exactly 4904 households in a random sample of 10000 in this city prefer whole wheat bread. answer correct to 4 decimals
Suppose x is a uniform random variable with a = 20 and b = 60. Find the probability that a randomly selected observation exceeds 52
Two neoprene gaskets are selected from a big lot. The probability of obtaining 1 nonconforming unit in a sample of two is 0.35. The probability of 2 nonconforming units in a sample of two is 0.15. Find the probability of zero nonconforming units in a sample of two?
Suppose that a student rolls two balanced dice three times in a row. What is the probability that on the first two rolls, the sum of the two numbers that appears is 7 and on the third roll the sum is 4?
Suppose the amount of time a random customer spends in a grocery store is uniformly distributed between 10 and 65 minutes. What is the probability a random customer will spend less than one hour in the grocery store?
The number of accidents at a certain intersection is a Poisson random variable. The probability that there are 2 accidents in any given week is 3 times as much as the probability that there are 4 accidents in any given week. Find the probability that there are no accidents at the intersection next week.
A doctor knows that the medical test for a certain health condition gives accurate resSults 80% of the time. Find the probability that if 5 of these tests are randomly selected, at least one of them is accurate.
Suppose x is a uniform random variable with values ranging from 40 to 90. Find the probability that a randomly selected observation exceeds 55.
You roll a fair six sided die 10 times. What is the probability that you roll a 1 exactly two times given that you roll a 1 at least once?
Assume that male and female births are equally likely and that the birth of any child does not affect the probability of the gender of any other children. Find the probability of exactly three boys in seven births.
Assume that when an adult is randomly selected, the probability that they do not require vision correction is 19%. If 7 adults are randomly selected, find the probability that exactly 2 of them do not require a vision correction. If 7 adults are randomly selected, the probability that exactly 2 of them do not require a vision correction is (Round to three decimal places as needed.)
A biased coin has a probability of of landing on heads. You toss the coin until it lands on heads. What is the probability that you toss the coin exactly four times?