Question 11The amount of time until the next earthquake in California is described by the following probabilityfunctionf(x)=<So if x < 0ce-5 if x>0where c is a constant. Round all answers to three decimal places.a) Find the constant c.>b) Find the probability that the next earthquake occurs after 2.8 days.c) Given that 1 days has already passed, find the probability that the next earthquake occurs after anadditional 2.6 days. 0Submit Questiond) What is the expected time until the next earthquake in California? .20Q SearchEO4

Let, X be the amount of time until the next earthquake in California. The probability function is as…

Answered: The amount of time until the next…

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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Gabrielle has purchased the 2-year extended warranty from a retailer to cover the value of hers new cellphone in case if it gets damaged or becomes inoperable for the price of $25. Gabrielle's cellphone is worth $1400 and the probability that it gets damaged or becomes inoperable during the length of the extended warranty is estimated to be 4%. Let XX be the retailer's profit from selling the extended warranty. Answer the following questions: 1. Create the probability distribution table for XX : XX outcome profit xx ,$ P(X=x)P(X=x) the cellphone gets damaged or becomes inoperable no claim filed 2. Use the probability distribution table to find the following: E[X]=μX=E[X]=μX= dollars. (Round the answer to 1 decimal place.) SD[X]=σX=SD[X]=σX= dollars. (Round the answer to 1 decimal place.)
A certain disease has an incidence rate of 0.4%. If the false negative rate is 7% and the false positive rate is 3%, compute the probability that a person who tests positive actually has the disease. Give your answer accurate to at least 3 decimal places
A certain disease has an incidence rate of 0.7%. If the false negative rate is 8% and the false positive rate is 4%, compute the probability that a person who tests positive actually has the disease. Give your answer accurate to at least 3 decimal places
An earth-conscious clothing store offers a 15% discount if you bring in a bag full of old clothing to recycle the fabric. The probability that each bag brought in will contain fabric that can actually be recycled is 69%. In a given day, if there are 20 bags of fabric brought in to recycle, calculate the following: Round each answer to 4 decimal places. The probability that at least 9 bags will contain fabric that can be recycled
The time (in minutes) between telephone calls at an insurance claims office has the exponential probability distribution: f(x)=0.50e-0.50x for x ≥ 0 What is the mean time between telephone calls? What is the probability of 30 seconds or less between telephone calls? What is the probability of 1 minute or less between telephone calls? What is the probability of 5 or more minutes without a telephone call?
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) =
The probability that a certain type of sea turtle hatching survives until adulthood is assumed to be 1 out of 1,877. If 980 hatchlings incubate in a certain nesting area, calculate the probability that at least 3 survive to adulthood. Use three decimal place accuracy.
A certain disease has an incidence rate of 0.7%. If the false negative rate is 6% and the false positive rate is 3%, compute the probability that a person who tests positive actually has the disease. Give your answer accurate to at least 3 decimal places
A certain disease has an incidence rate of 0.2%. The false negative rate is 8%, and the false positive rate is 3%. Calculate the probability that a person who tests positive actually has the disease. 0.0848 Note: The incidence rate is the probability that a random person gets the disease. The false negative rate is the probability of getting a negative result given that the person has the disease. The false positive rate is the probability of getting a positive result given that the person does not have the disease.

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