Not sure on this question. When I go swimming, the distance in meters that I can swim before getting cramp in one of my hands isexponentially distributed with parameter X=1/333. What is the probability that, on a random occasionwhen I go swimming, I swim at least 520.4 meters without getting hand cramp?Give your solution accurate to 4 decimal places.Answer:Checkideg立19re to searchhp18144t6

We have given that the parameter of an exponential distribution is given as \lambdaλ, which…

Answered: When I go swimming, the distance in…

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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When I go swimming, the distance in meters that I can swim before getting cramp in one of my hands isexponentially distributed with parameter 1 = 1/463.5. What is the probability that, on a randomoccasion when I go swimming, I swim at least 458.1 meters without getting hand cramp?Give your solution accurate to 4 decimal places.
The light bulbs produced by a generic manufacturer have a stated average life of 1,146 hours. Assume that the lifetimes of the bulbs are normally distributed with a standard decision of 100 hours. Find the probability that a light bulb from this manufacturer will last longer than 1,271 hours. Round your answer to four decimal places
A recent study found that the average length of caterpillars was 2.8 centimeters with a standard deviation of 0.7 centimeters. Assuming that the lengths of all caterpillars is normally distributed, what is the probability that a randomly selected caterpillar will have a length longer than (greater than) 4.0 centimeters? P(x > 4.0 cm) = ___________ Type in your final decimal solution for the probability rounded to four decimal places.
The United States Department of Agriculture (USDA) found that the proportion of young adults ages 20–39 who regularly skip eating breakfast is 0.238. Suppose that Lance, a nutritionist, surveys the dietary habits of a random sample of size ?=500 of young adults ages 20–39 in the United States. Apply the cnormal to find the probability that the number of individuals, ?,X, in Lance's sample who regularly skip breakfast is greater than 122. You may find table of critical values helpful. Express the result as a decimal precise to three places. ?(?>122)= Apply the central limit theorem for the binomial distribution to find the probability that the number of individuals in Lance's sample who regularly skip breakfast is less than 103. Express the result as a decimal precise to three places. ?(?<103)=
From past experience, a professor knows that the test scores of a student taking the final exam is a randomvariable with mean 60 and the standard deviation 16. How many students would have to take the exam toensure with probability 0.9 that the class average would be within 5 of 60? You need to use the CentralLimit Theorem.
A major steel pipeline is used to transport crude oil from an oil production platform to a refinery over a distance of 100 km. Even though the entire pipeline is inspected once a year and repaired as necessary, the steel material is subject to damaging corrosion. Assume that from past inspection records, the mean occurrence rate of corrosion along the pipeline is 0.15/km, what is the probability that there will be 10 locations of damaging corrosion between inspections? Express your answer in three decimal places.
At a large publishing company, the mean age of proofreaders is 36.2 years and the standard deviation is 3.7 years. Assume the variable is normally distributed. Round intermediate z-value calculations to two decimal places and the final answers to at least four decimal places. If a proofreader from the company is randomly selected, find the probability that his or her age will be between 33.5 and 35 years. P(33.5< X
A certain type of storage battery lasts, on average, 3.0 years with a standarddeviation of 0.5 year. Assuming that battery life is normally distributed: Set up the required equations in order to formulate your solution to theproblem. Find the probability that the battery lasts more than 3.5 years.
The mean inside diameter of washers produced by a machine is 0.403 cm and the standarddeviation is 0.005 cm. Washers with an internal diameter less than 0.397 cm or greater than0.406 cm are considered defective. What percentage of the washers produced are defective,assuming the diameters are normally distributed? A pump fails, on the average, once in every 500 hours of operation.(a) Find the probability that the pump has more than one failure during a 500 - hourperiod.(b) What is the probability of exactly 3 failures in 2000 hours of operation?
A mixture of pulverized fuel ash and Portland cement to be used for grouting should have a compressive strength of more than 1,300 KN/m2. The mixture will not be used unless experimental evidence indicates conclusively that the strength specification has been met. Suppose compressive strength for specimens of this mixture is normally distributed with σ = 61. Let μ denote the true average compressive strength. For a test with α = 0.01, what is the probability that the mixture will be judged unsatisfactory when in fact μ = 1,350 (a type II error)? (Round your answer to four decimal places.)
At a large publishing company, the mean age of proofreaders is 36.2 years and the standard deviation is 3.7 years. Assume the variable is normally distributed. Round intermediate z -value calculations to two decimal places and the final answers to at least four decimal places. If a random sample of 25 proofreaders is selected, find the probability that the mean age of the proofreaders in the sample will be between 36.5 and 38 years. Assume that the sample is taken from a large population and the correction factor can be ignored.
Today, the waves are crashing onto the beach every 5.8 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 5.8 seconds. Round to 4 decimal places where possible. The probability that it will take longer than 1.96 seconds for the wave to crash onto the beach after the person arrives is P(x ≥≥ 1.96) = Find the minimum for the upper quartile. seconds

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