The first digits of data entries in most real-world data sets are not uniformly distributed. The most common first digit is 1, followed by 2, and so on, with 9 being the least common first digit. This phenomenon is known as Benford's Law. The table below is the probability distribution for Benford's Law where the random variable D represents the first digit in a data entry. D P(D) D P(D) 1 0.301 6. 0.067 2 0.176 7 0.058 3 0.125 8. 0.051 4 0.097 9. 0.046 5 0.079 What is the probability that a randomly selected data entry has a first digit less than 4? P(first digit less than 4) =

The first digits of data entries in most real-world data sets are not uniformly distributed. The most common first digit is 1, followed by 2, and so on, with 9 being the least common first digit. This phenomenon is known as Benford's Law. The table below is the probability distribution for Benford's Law where the random variable D represents the first digit in a data entry. D P(D) D P(D) 1 0.301 6. 0.067 2 0.176 7 0.058 3 0.125 8. 0.051 4 0.097 9. 0.046 5 0.079 What is the probability that a randomly selected data entry has a first digit less than 4? P(first digit less than 4) =

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

Similar questions

Please in detail, Asap
Note : Please solve within 30 minutes with a clear explanation. Suppose that a light fixture has 100 light bulbs installed. The lifetimes of light bulbs are independent exponential random variables with a common mean equal to 800 hours. Because replacing a light bulb involves someone climbing up the fixture, the owner decides not to replace bulbs until 5 light bulbs have burned out. If currently all the 100 light bulbs are working, find the expected time until the needs to replace the bulbs.
How shall we represent a mode for the continuous random variable?
The expected value of a discrete random variable always corresponds to an actual outcome that may occur.
Can the idea of joint random variables apply to more than two variables or is it just strictly like an X and a Y variable? Explain in 1-2 sentences. Thanks in advance!
A researcher gathered a sample of participants who volunteered for a studying of phobias. She measured anxiety level of participants as they viewed photos of spiders and again when they viewed puppies. Which statistical test is appropriate for this study and why?
If the odds of catching the flu among individuals who take vitamin C is 0.0342 and the odds of catching the flu among individuals not taking vitamin C is 0.2653, then the individuals not taking vitamin C are 7.7573 times more likely to catch the flu than individuals taking vitamin C. True False
Dear Expert ! Please solve my question CORRECTLY in the image step by step. Surely Like CORRECT solution & will DISLIKE Conceptually INCORRECT SOLUTION. Don't answer my question if you are not sure for Correct Answering.
It currently takes users a mean of 2626 minutes to install the most popular computer program made by RodeTech, a software design company. After changes have been made to the program, the company executives want to know if the new mean is now different from 2626 minutes so that they can change their advertising accordingly. A simple random sample of 5151 new customers are asked to time how long it takes for them to install the software. The sample mean is 24.924.9 minutes with a standard deviation of 2.72.7 minutes. Perform a hypothesis test at the 0.0250.025 level of significance to see if the mean installation time has changed. Step 1 of 3 : State the null and alternative hypotheses for the test. Fill in the blank below. H0Ha: μ=26: μ⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯26
Give 7 other examples of random variables.
Mention 3 examples of discrete random variables and 3 examples of continuous random variables applied in engineering.
A large ski mountain has a fleet of 4 snowmobiles it uses during the winter season. It believes that the time between consecutive repair operations for a single snowmobile is an exponential random variable with a mean of .75 weeks. There are two dedicated technicians that are capable of repairing the snowmobiles. A broken down snowmobile will be repaired by one of these technicians (when one becomes available) and the repair time of a snowmobile can be modeled as an exponential random variable with a mean of .4 weeks. (a) Describe a queueing system model of the repair operations of the snowmobiles by answering the following questions: What are the customers in the queueing system? What are the servers and what service is being provided? b) Provide the rate transition diagram of the birth and death process that captures the queueing system. Be sure to provide λn and µn for each relevant value of n and your logic behind any calculations used to obtain them (c) Provide the…