When 2 products are chosen among the batch of stale (s) and a fresh (f) products,average of 4 possible results are calculated as; sf: 0.21, fs:0.21, ss:0,05 and ff:053.X, indicating that the product is fresh; a)Find the probability P(1< X< 3) b)Find the probability P(X < 1)
When 2 products are chosen among the batch of stale (s) and a fresh (f) products,average of 4 possible results are calculated as; sf: 0.21, fs:0.21, ss:0,05 and ff:053.X, indicating that the product is fresh; a)Find the probability P(1< X< 3) b)Find the probability P(X < 1)
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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Step 1
Given-
There are four outcomes of the two products chosen with the probability stated as-
stale , fresh : 0.21
fresh, stale : 0.21
stale, stale : 0.05
fresh, fresh : 0.53
Step 2
a) X indicating that the product is fresh. Calculating
As, X should be greater than or equal to 1 but less than 3 (the total number of fresh products chosen can be less than or equal to so its indifferent whether X is above 2) , so the total outcomes are: sf, fs, ff.
Summing up the stated probabilities.
0.21(s,f) + 0.21(f,s) + 0.53(f,f)
So, the probability comes out to be 0.95.
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