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)

Name: When 2 products are chosen among the batch of stale (s) and a fresh (
Uploaded: 2024-03-20T07:06:27.000Z
Channel: Bartleby
Description: 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

Answered: When 2 products are chosen among the…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.CT: Chapter Test

Problem 30CT: In a batch of 20 tires, 2 are known to be defective. If 4 tires are chosen at random, find the...

See similar textbooks

Related questions

Concept explainers

Topic Video

Question

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)

Expert Solution

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.

Step by step

Solved in 3 steps with 2 images

Knowledge Booster

$Data Collection, Sampling Methods, and Bias$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions