Suppose it is known from large amounts of historical data that X, the number of cars that arrive at a specific intersection during a 20second time period, is characterized by the fallowing discrete probability functione-6 x 6*f(x) =for x = 0, 1, 2, 3...x!Find the probability that in a specific 20-second time period, less than 3 cars arrive at the inter-section.A) 0.05949B) 0.06197c) 0.14873D) 0.15120

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Answered: Suppose it is known from large amounts…

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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1.) The amount of time an air-conditioning technician to repair a unit is in between 1.9 and 5 hours which is found to be uniformly distributed. Let x be the time needed to fix an A/C unit. b.) Find the probability that a randomly selected A/C unit repair requires less than 3.5 hours?
23. *An insurance policy pays an individual 100 per day for up to 3 days of hospitalization and 25 per day for each day of hospitalization thereafter. The number of days of hospitalization, X, is a discrete random variable with probability function Pr(X = k) = (1/15)(6 – k), k = 1, 2, 3, 4, 5. Calculate the expected payment for hospitalization under this policy. (213.3)
Let X equal the IQ of a randomly selected American. Assume X ~ N( μ μ {"version":"1.1","math":"μ"} =100, σ σ {"version":"1.1","math":"σ"} =4). What is the probability that a randomly selected American has an IQ below 90?
1. Given the value X which is a random variable that states the number of visitors in a restaurant, with P(X= x) = C a. Determine the value of C such that the function is a discrete probability distribution b. Calculate the probability that there will be at least 2 costumers at the restaurant at a time ; x = 0, 1, 2, ...
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A1. Need help plz
3. Suppose it is known from large amounts of historical data that X, the number of cars that arrive at a specific intersection during a 20-second time period, is characterized by the following discrete probability function: 6x f(x) = e-6, for x = 0,1,2, ... a) Find the probability that in a specific 20-second time period, more than 8 cars arrive at the intersection.
1. Suppose that in the AOA building, we observe the presence of nine people at work. Overall on campus, 85 percent of people wearing masks while working. 1 (a) What is the probability that exactly 3 people in AOA are wearing a mask. (b) What is the probability that at least two people in AOA are not currently wearing a mask? (c) Compute the range-rule-of-thumb interval (µ – 20, µ+20) for the number of people that are wearing a mask. (d) Compute the coefficient of variation for the number of people that are wearing a mask.
(a). Derive the theorem of total chance of occurrence of engineering events. (b). If Faculty of Engineering and Technology is located south of the land of Malete and experiences Wet and Dry seasons yearly. Assume the Wet season in the vicinity of the building lasts for 1/3 of the year, and the Dry season for 2/3 of the year. The chances of rain falling during the wet and dry seasons are 3/4 and 1/6, respectively. i. If you visit the engineering building on a random day of the year, what is the chance that it will rain on arrival? If you visit the engineering building on a random day, and it rains on arrival. What is the chance that your visit is during the wet season? ii.
Date No. Answer the Following using the giuen discrete probability distribution Plxz2) 14 2 3. Pexs 7 317 217 9 3) P(X<4)

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