#2 I need help solving this random variable problem For a uniform random variable \( U \sim U(16, 29) \), find the probability \( P(U < 20) \):\[ P(U < 20) = \Box \] (Round the answer to 4 decimal places)

Answered: For a uniform random variable U U(16,…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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8* A medical researcher estimates that 2% of a population is infected with a rare disease which for this problem we will assume is accurate. The procedure used for testing for this disease is 90% accurate. So, if one has the disease, the test will indicate that 90% of the time, and if the person doesn't have the disease, the test will indicate that 90% of the time. Of course, what this means is that the test will give a false positive result 10% of the time. If a person is picked at random and tested: (a) What is the probability that the person tests positive? (b) What is the probability that if a person tested positive for the disease he or she actually had the disease?
I need help with all parts of this question 8
(3) You take an exam that contains 20 multiple-choice questions. Each question has 4 possible options. You know the answer to 10 questions, but you have no idea about the other 10 questions so you choose answers randomly. Your score X on the exam is the total number of correct answers. Find the PMF of X. What is P(X > 15)? The number of customers arriving at a grocery store is a Poisson random variable. On average 10 customers arrive per hour. Let X be the number of customers arriving from 10am to 11 : 30am. What is P(10 < X < 15)? (4)
Please answer step d.

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For a uniform random variable U U(16, 29), find the probability P(U <20): P(U <20) D I (Round the answer to 4 decimal places)