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Statistics / Probability and Statistical Inference 9 / Chapter 1.5 / Problem 1.5-2

Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

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Bean seeds from supplier A have an 85% germination rate and those from supplier B have a

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QUESTION:

Bean seeds from supplier A have an 85% germination rate and those from supplier B have a 75% germination rate. A seed-packaging company purchases 40% of its bean seeds from supplier A and 60% from supplier B and mixes these seeds together. (a) Find the probability P(G) that a seed selected at random from the mixed seeds will germinate. (b) Given that a seed germinates, find the probability that the seed was purchased from supplier A.

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QUESTION:

Bean seeds from supplier A have an 85% germination rate and those from supplier B have a 75% germination rate. A seed-packaging company purchases 40% of its bean seeds from supplier A and 60% from supplier B and mixes these seeds together. (a) Find the probability P(G) that a seed selected at random from the mixed seeds will germinate. (b) Given that a seed germinates, find the probability that the seed was purchased from supplier A.

ANSWER:

Step 1 of 4

Law of total probability

Bayes' theorem

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