3. A smartphone manufacturer is concerned about the proportion of defectives produced at a certain plant which produces many smartphones every day. Historically, approximately 15% of phones produced at this plant have been defective. As part of their quality assurance testing, 4 smartphones are selected at random from a day's production (a) Let X represent the number of defective phones in the sample of 4 phones. Complete the table below for the probability distribution of X, assuming the historic defective rate holds. 1 2 3 4 P(x) 0.522 0.368 0.001 (b) What is the expected number of defective phones in this sample?

3. A smartphone manufacturer is concerned about the proportion of defectives produced at a certain plant which produces many smartphones every day. Historically, approximately 15% of phones produced at this plant have been defective. As part of their quality assurance testing, 4 smartphones are selected at random from a day's production (a) Let X represent the number of defective phones in the sample of 4 phones. Complete the table below for the probability distribution of X, assuming the historic defective rate holds. 1 2 3 4 P(x) 0.522 0.368 0.001 (b) What is the expected number of defective phones in this sample?

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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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

-4-
3. A smartphone manufacturer is concerned about the proportion of defectives produced at a certain
plant which produces many smartphones every day. Historically, approximately 15% of phones
produced at this plant have been defective. As part of their quality assurance testing, 4 smartphones
are selected at random from a day's production
(a) Let X represent the number of defective phones in the sample of 4 phones. Complete the table
below for the probability distribution of X, assuming the historic defective rate holds.
1
2
3
4
P(x)
0.522
0.368
0.001
(b) What is the expected number of defective phones in this sample?
-5-
(c) What is the probability that all four phones were defective given that at least two defectives were
found in the sample?
(d) Suppose that each day the phones are produced independently of all other days' phones. If a
sample of size 4 is taken every weekday (5 total samples), what is the probability that there are
no defective phones found in any of the 5 samples taken?

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