46. Hits at a website arrive at an average rate of 40 hits per hour according to a Poisson process. Let X denotethe length in minutes from the time we start observing this website until the 1st hit is observed.(a) Which common continuous distribution does X have (include parameters)? Justify your answer.(b) Find E(X).(c) Find V(X).(d) What is the probability that more than 5 minutes will elapse before the 1st hit is observed?(e) Suppose 5 minutes has elapsed without a single hit being observed. What is the probability that morethan 5 additional minutes will elapse before the 1st hit is observed?

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Answered: 46. Hits at a website arrive at an…

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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you should calculate the required probabilities using tables A model for normal human body temperature, X, when measured orally in F, is that it is normally distributed, X N(98.2, 0.5184). According to the model, what proportion of people have a normal body temperature of 99 F or more? (0) (i) Find the normal body temperature such that, according to the model, only 10% of people have a lower normal body temperature. (ii) Let W denote normal human body temperature, when measured orally in C. Given that W =59 (X-32) and X N(98.2, 0.5184), what is the distribution of W?
Let x = red blood cell (RBC) count in millions per cubic millimeter of whole blood. For healthy females, x has an approximately normal distribution with mean ? = 4.3 and standard deviation ? = 0.5. (a) Convert the x interval, 4.5 < x, to a z interval. (Round your answer to two decimal places.) < z(b) Convert the x interval, x < 4.2, to a z interval. (Round your answer to two decimal places.)z < (c) Convert the x interval, 4.0 < x < 5.5, to a z interval. (Round your answers to two decimal places.) < z < (d) Convert the z interval, z < −1.44, to an x interval. (Round your answer to one decimal place.)x < (e) Convert the z interval, 1.28 < z, to an x interval. (Round your answer to one decimal place.) < x(f) Convert the z interval, −2.25 < z < −1.00, to an x interval. (Round your answers to one decimal place.) < x <
A model for normal human body temperature, X, when measured orally in °F, is that it is normally distributed, X ~ N (98.2,0.5184). (i) According to the model, what proportion of people have a normal body temperature of 99 °F or more? (ii) Find the normal body temperature such that, according to the model, only 10% of people have a lower normal body temperature. (iii) Let W denote normal human body temperature, when measured orally in °C. Given that W = (X - 32) and X ~ N(98.2,0.5184), what is the distribution of W? (iv) According to the model that you just derived for W, what proportion of people have a normal body temperature of between 36 °C and 36.8 °C?
part d please

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