Part 2: a) Your manufacturing division produces resistors with a nominal value of 22 k0, with a tolerance of +/- 10%. A random sample of ten resistors was taken, and their value was measured by a colleague, to check that they remain within tolerance. The results are as follows: Sample Resistance (Kn) (i) 1 2 22.8 21.7 (0) 3 4 20.5 23.1 5 22.8 6 21.7 7 22.4 8 Two of the eight resistors exceed the tolerance. More than two of the eight resistors exceed the tolerance. 23.2 Calculate the mean resistance for these samples. Determine the standard deviation for the samples. Produce a Tally Chart showing the frequency of measured resistances. 9 21.7 10 b) Further analysis of a larger sample of the resistors shows that 90% are within the allowable tolerance value. The remainder exceed the tolerance. You select eight resistors at random from the sample. Determine the probabilities that: 22.8

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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can you solve the problem showing all working and stages so i can understand it,thanks

Part 2:
a) Your manufacturing division produces resistors with a nominal value of 22 k0, with a tolerance of +/-
10%. A random sample of ten resistors was taken, and their value was measured by a colleague, to
check that they remain within tolerance. The results are as follows:
Sample
Resistance
(k)
(1)
(ii)
(iii)
1
2
22.8 21.7
3
20.5
4
23.1
5
22.8
6
7
21.7 22.4
8
23.2
Calculate the mean resistance for these samples.
Determine the standard deviation for the samples.
Produce a Tally Chart showing the frequency of measured resistances.
(i)
Two of the eight resistors exceed the tolerance.
(ii) More than two of the eight resistors exceed the tolerance.
9
21.7
10
22.8
b) Further analysis of a larger sample of the resistors shows that 90% are within the allowable tolerance
value. The remainder exceed the tolerance. You select eight resistors at random from the sample.
Determine the probabilities that:
Transcribed Image Text:Part 2: a) Your manufacturing division produces resistors with a nominal value of 22 k0, with a tolerance of +/- 10%. A random sample of ten resistors was taken, and their value was measured by a colleague, to check that they remain within tolerance. The results are as follows: Sample Resistance (k) (1) (ii) (iii) 1 2 22.8 21.7 3 20.5 4 23.1 5 22.8 6 7 21.7 22.4 8 23.2 Calculate the mean resistance for these samples. Determine the standard deviation for the samples. Produce a Tally Chart showing the frequency of measured resistances. (i) Two of the eight resistors exceed the tolerance. (ii) More than two of the eight resistors exceed the tolerance. 9 21.7 10 22.8 b) Further analysis of a larger sample of the resistors shows that 90% are within the allowable tolerance value. The remainder exceed the tolerance. You select eight resistors at random from the sample. Determine the probabilities that:
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Can part B be answered as well please?

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