A company installs new central-heating furnaces and has found that for 23% of all installations, a return visit is needed to make some modifications. Six installationswere made in a particular week. Assume independence of outcomes for these installations. Complete parts a. through c. below.a. What is the probability that a return visit will be needed in all these cases?0.000148 (Round to six decimal places as needed.)b. What is the probability that a return visit will be needed in none of these cases?(Round to six decimal places as needed.)

Binomial distribution is given by

Answered: A company installs new central-heating…

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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Hospitals typically require backup generators to provide electricity in the event of a power outage. Assume that emergency backup generators fail 44% of the times when they are needed. A hospital has two backup generators so that power is available if one of them fails during a power outage. Complete parts (a) and (b) below. a. Find the probability that both generators fail during a power outage. (Round to four decimal places as needed.) b. Find the probability of having a working generator in the event of a power outage. Is that probability high enough for the hospital? Assume the hospital needs both generators to fail less than 1% of the time when needed.(Round to four decimal places as needed.)
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