A manufacturing machine has a 8% defect rate.If 10 items are chosen at random, what is the probability that at least one will have a defect? Round answer to4 decimal places.

Answered: A manufacturing machine has a 8% defect…

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A manufacturing machine has a 8% defect rate.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter7: Percents

Section7.1: Percents And Fractions

Problem 29E

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Question

A manufacturing machine has a 8% defect rate.
If 10 items are chosen at random, what is the probability that at least one will have a defect? Round answer to
4 decimal places.

Expert Solution

Step 1

Given:

numbers of Trails, n = 10
Probability of Success, p = 8% = 0.08

using Binomial distribution:

$P (X = x) = n C x * p^{x} * (1 - p)^{n - x}$

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