An article reports that 1 in 500 people carry the defective gene that causes inherited colon cancer. In a sample of 2500 individuals,what is the approximate distribution of the number who carry this gene?We can approximate this distribution by the Poisson distribution with μ = 5(a) Use the Poisson approximation to calculate the approximate probability that between 6 and 11 (inclusive) carry the gene.(Round your answer to three decimal places.)0.214X(b) Use the Poisson approximation to calculate the approximate probability that at least 11 carry the gene. (Round your answer tothree decimal places.)0.0028xYou may need to use the appropriate table in the Appendix of Tables to answer this question.

Answered: Image /qna-images/answer/ee30e21f-7b73-47fa-85ee-1f3e8b0830be.jpg

Answered: An article reports that 1 in 500 people…

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...

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Today, the waves are crashing onto the beach every 4.5 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 4.5 seconds. Round to 4 decimal places where possible. a. The mean of this distribution is b. The standard deviation is c. The probability that wave will crash onto the beach exactly 1.7 seconds after the person arrives is P(x = 1.7) = d. The probability that the wave will crash onto the beach between 1.5 and 3.9 seconds after the person arrives is P(1.5 1) = f. Find the maximum for the lower quartile. seconds.
(See image for introduction) What is the type I error probability for this approach? (PLUG-IN completely, NO need to simplify.)
Today, the waves are crashing onto the beach every 5.6 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 5.6 seconds. Round to 4 decimal places where possible. a. The mean of this distribution is b. The standard deviation is c. The probability that wave will crash onto the beach exactly 0.7 seconds after the person arrives is P(x = 0.7) = d. The probability that the wave will crash the beach between 1.6 and 5.1 seconds after the person arrives is P(1.6 3.72) = f. Suppose that the person has already been standing at the shoreline for 0.8 seconds without a wave crashing in. Find the probability that it will take between 1.4 and 3.3 seconds for the wave to crash onto the shoreline. g. 65% of the time a person will wait at least how long before the wave crashes in? seconds. h. Find the minimum for the upper quartile. seconds.
The useful life of Johnson rods for use in a particular vehicle follows an exponential distribution with an average useful life of 5.2 years.You have a three-year warranty on your vehicle’s Johnson rod. What is the probability that the Johnson rod doesn’t fail before then? That is, what is the probability that its useful life doesn’t end before three years?b.If the vehicle manufacturer wants to limit the number of claims on the three-year warranty to 20%, what should the average useful life of the Johnson rod be?
A random number generator picks a number from 6 to 65 in a uniform manner. Round answers to 4 decimal places when possible. The mean of this distribution is . The standard deviation is . The probability that the number will be exactly 48 is P(x=48)=P(x=48)= . The probability that the number will be between 17 and 22 is P(17<x<22)=P(17<x<22)= . The probability that the number will be larger than 50 is P(x>50)=P(x>50)= . P(x>24∣x<57)=P(x>24∣x<57)= . Find the 21st percentile. Find the minimum for the upper quarter.
Today, the waves are crashing onto the beach every 5.1 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 5.1 seconds. Round to 4 decimal places where possible. The probability that a person will be born between weeks 18 and 52 is P(18<x<52)P(18<x<52) = The probability that a person will be born after week 40 is P(x > 40) = P(x > 10 | x < 47) =
A university is considering setting up an information desk manned by one employee. Based on information obtained from similar information desks, it is believed that people will arrive at the desk at the rate of 18 per hour. It takes an average of 2 minutes to answer a question. It is assumed that arrivals are Poisson and answer times are exponentially distributed. What is the arrival rate? (Include the units.) What is the service rate? (Include the units.) Find the probability that the employee is idle.
Delivery times for shipments from a central warehouse are exponentially distributed with a mean of 1.97 days (note that times are measured continuously, not just in number of days). A random sample of 52 shipments are selected and their shipping times are observed. Approximate the probability that the average shipping time is less than 1.67 days. Enter your answer as a number accurate to 4 decimal places. Submit Question Chp -> % 7 8. 60 口 5 %24 %23 3m
Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Suppose you are an auditor for a very large corporation. The revenue report involves millions of numbers in a large computer file. Let us say you took a random sample of n = 250 numerical entries from the file and r = 60 of the entries had a first nonzero digit of 1. Let p represent the population proportion of all numbers in the corporate file that have a first nonzero digit of 1. Test the claim that p is less than 0.301 by using α = 0.01. What does the area of the sampling distribution corresponding to your P-value look like? a. The area in the right tail of the standard normal curve. b. The area not including the right tail of the standard normal curve.…
An article suggests the lognormal distribution as a model for SO2 concentration above a certain forest. Suppose the parameter values are alpha = 1.7 and beta = 0.8. (a) What are the mean value and standard deviation of concentration? (Round your answers to three decimal places.) mean standard deviation (b) What is the probability that concentration is at most 10? Between 5 and 10? (Round your answers to four decimal places.) at most 10 between 5 and 10

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