Based on the O-D survey, 25% of commuters prefer transit for daily trips. There are 5 commuters randomly selected from a transit organization. Estimate the probability that 1 commuter among 5 commuters will choose transit for travel. Use Binomial Distribution.

Based on the O-D survey, 25% of commuters prefer transit for daily trips. There are 5 commuters randomly selected from a transit organization. Estimate the probability that 1 commuter among 5 commuters will choose transit for travel. Use Binomial Distribution.

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 Pew Research Center reports that they are only able to contact 76% of randomly selected…

A: From the provided information, The Pew Research Center reports that they are only able to contact…

Q: Fifty five percent of the students in a class of 135 of planning to go to graduate school, Find…

A: Answer: From the given data, Fifty five percent of the students are planning to go to graduate…

Q: How can I tell whether to use the addition rule or the multiplcation rule when determining…

Q: Fourty percent of the students in a class of 100 are planning to go to graduate school, Find the…

A: Answer: From the given data, Sample size(n) = 100 Probability of students planning to go to graduate…

Q: A college placement office sent a questionnaire to a sample of business school graduates requesting…

A: We know that variance is a measure of how distorted a data set is. It is calculated by the average…

Q: If there is a 2% chance that a child will be born with a disease X, what is the probability that no…

Q: If a typist makes an average of three errors for every hour, what is the probability that he will…

Q: All malls start limiting the number of visitors and visiting time. One of the marketing directors of…

A: Provided data is, one of the marketing directors of a large department store wanted estimates the…

Q: A random sample of 306 new Smile Bright electric toothbrushes showed that 19 were defective.…

A: Given that there are 19 out of 306 new smile bright electric toothbrushes are defective.

Q: A racing car consumes a mean of 107 gallons of gas per race with the variance of 49. If 46 racing…

A: The following information has been provided: The population mean is μ=107. The sample variance is…

Q: in a college, 15% of the students participate in social activities at least twice a month. A…

Q: The mean number of passengers arriving at a bus station during a 15 minutes period is 12. Find the…

A: Given the mean number of passengers arriving at a bus station during a 15 minutes period is 12. That…

Q: A study is conducted to access the impact of caffeine consumption, smoking, alcohol consumption, and…

A: Proportion of participants consume caffeine and smoke : p = 0.4 For 8 participants are…

Q: Twelve percent of U.S. employees who are late for work blame oversleeping. You randomly select four…

Q: Illustrate different types of sampling (Probability & Non Probability) with real life examples.

A: Probability & Non probability Sampling

Q: Derive the variance of the Student’s t distribution , show complete and detailes solution

A: Objective of this question is that, drive the variance of T distribution. Given T~t distribution…

Q: A student has a 30% chance of getting a particular professor for a class. What are the odds of…

A: From the provided information, There is 30% chance a student getting a particular professor for a…

Q: What is the probability that a randomly selected score exceeds 1170?

A: Let X be the SAT score ( for verbal and math).It is given that X has normal distribution with mean…

Q: Shell thickness is an indicator of a turtle's health for biologists. A team of biologists studied 10…

A: The continuous random variable takes any values within two admissible values. The discrete random…

Q: In a lab ,the coronavirus vaccine causes negative effects in 3 out of every 100 patients . 5…

A: Given,n=5p=0.03X~Binomial(n=5,p=0.03)P(X=x)=cxn px(1-p)n-x ;X=0,1,.....n

Q: Use a Spreadsheet for steps and solutions. If a worker makes an average of three errors for every…

A: Given: A worker makes an average of 3 errors for every hour. Required: To find the probability that…

Q: A box contains 3 green and 2 red balls. Three balls are chosen one after the other. Determine the…

A: It is given that a box contains 3 green and 2 red balls. So, the total number of balls in the box is…

Q: Make a table comparing the different discrete probability distributions and key characteristics.

A: Types of Probability distributions. Discrete Probability Distribution. Continuous Probability…

Q: The number of defective parts produced per shift can be modeled using a dis random variable. Assume…

A: Let us define the random variable X as the number of defective parts produced follows Poisson…

Q: the proportion of eligible voters in the next election who will vote for the incumbent is assumed to…

A: It is given that n =500 and p =0.55.

Q: Suppose you have a bucket of 150 balls: 47 red, 62 blue, and 41 green. Describe the distribution for…

A: Given that there are 150 balls. Among 150 balls, 47 red, 62 blue, and 41 green. P(green…

Q: Write a short note on the importance of random sample.

Q: The average count calculation errors at a local accounting firm per 12-h shift are 2.8. What is the…

A: Given that : λ=2.8

Q: Should the one-tailed or the two-tailed probability be used to assess performance of the students?

A: The tail of the test depends on the alternative hypothesis of the test. The possible alternative…

Q: Sixty percent of families say their children have a significant influence on their daily dinner menu…

Q: According to the National Center for Health Statistics in Vital Statistics of the US, there is…

A: In this case, each of the individuals of aged 20 has the only option of "being alive at the age of…

Q: Describe the sampling distribution of p, the proportion of people who are satisfied with the way…

A: We have sample of size n=50 and population proportion P=0.6 From the population N=20000 (very…

Q: Determine whether or not the given procedure results in a binomial distribution. If not, identify…

A: Conditions of binomial distribution: The variable defined in the experiment must have only two…

Q: Let X be the Random Variable representing the number of boys in families with 3 children. Find the…

A: Solution-: Let X be the Random Variable representing the number of boys infamilies with 3 children.…

Q: 2. Students come randomly and independently at the cashier's window at the rate of 30 students per…

A: Since you have posted a question with multiple subparts, we will solve the first 3 sub-parts for…

Q: Time magazine reported that when 19,218 gas masks from branches of the military were tested, it was…

A: The number of masks are tested is 19,218.

Q: Fourty percent of the students in a class of 120 are planning to go to graduate school Find the…

A: Answer: From the given data, Sample size(n) = 120 Forty percent of the students planning to go to…

Q: The number of calls made by a telemarketer follows a Poisson distribution with a mean of 2 calls per…

A: Using Poisson Distribution

Q: In 2016, more than 200,000 students took the AP® Statistics exam. Of these students, 14% earned the…

A: From the provided information, 14% earned the highest score of 5 that is p = 0.14 Sample size (n) =…

Q: time taken to complete an order on eBay follows a uniform distribution between 50 to 250 seconds.…

Q: The probability that you will win a game is p=0.83p=0.83. If you play the game 838 times, what is…

A: It is given that p =0.83.

Q: A botanist developed a new hybrid cotton plant that can withstand insects better than other cotton…

A: From the given information, n = 3,000 and x = 2,300.

Q: Let the distribution function of a random variable y be F(y) = f(y) = y 8 y² 16 2 ≤y < 4, y ≥ 4. (a)…

A: The distribution function is given by

Q: A survey from Teenage Research Unlimited (Northbrook, Illinois) found that 5% of teenage consumers…

Q: Determine the binomial distribution for which the mean is 4 and variance 3 and find its mode.

Question

Based on the O-D survey, 25% of commuters prefer transit for daily
trips. There are 5 commuters randomly selected from a transit
organization. Estimate the probability that 1 commuter among 5
commuters will choose transit for travel. Use Binomial Distribution.

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

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

The number of calls made by a telemarketer follows a Poisson distribution with a mean of 2 calls in one minute. Find the probability that the telemarketer makes at most 8 calls in 3 minutes. Round to 4 places.
Make your own example of mean of a sampling distribution. Also, construct the sampling distribution.
Apple company sells their phone at an average rate of 1 per day. Estimate the probability that the company sells more than 10 phones in a week.
17 percent of U.S. employees who are late for work blame oversleeping. You randomly select four U.S. employees who are late for work and ask them whether they blame oversleeping. The random variable represents the number of U.S. employees who are late for work and blame oversleeping. Find the mean of the binomial distribution. μ=
What is the probability of a z score greater than -1.97?
Toss a balanced coin independently 10 times. Assume that the number of Head and the number of Tails follows Multinomial Distribution. Find the probability to obtain 3 Heads and 7 Tails. Calculate MEAN and VARIANCE.
Average in one day in a large hospital30 patients die. a) Probability distribution, expected value, variance of the number of patients who died in a daywrite.b) The probability distribution, expected value, variance of the number of patients who died in five days.write. Find the probability that the number of patients who died in five days is 120.
Pls make sure its correct and show full steps. Naval intelligence reports that 9 enemy vessels in a fleet of 20 are carrying nuclear weapons. If 5 vessels are randomly targeted and destroyed, what is the probability that more than 1 vessel transporting nuclear weapons was destroyed? Express your answer as a fraction or a decimal number rounded to four decimal places..
The number of cracks in a 105-km expressway is 30. What is the probability that there would be no cracks in a particular 3-km section of the expressway?
How many people do you need to have in a room to reach a 50% chance that at least two people share a birthday? How many individuals do you need to have a >95% chance of at leasttwo people sharing a birthday?
Three coins are tossed once. The random variable X states the number of numbers that come out. Determine the cumulative distribution for the random variable X.
What is the probability that a randomly chosen individual would be less than 64.5 years of age? Show how you standardized the problem.