Question

A computer company makes desktop and laptop computers at factories in three states - California, Texas, and New York. Find the following probability:

P(made in Texas | computer is a laptop)
a) 0.25
b) 0.30
c) 0.70
d) 0.75

Answer 1

To find the probability P(made in Texas | computer is a laptop), we can use Bayes' theorem which states that P(A|B) = (P(B|A) * P(A)) / P(B). However, without the specific values of P(made in Texas), P(computer is a laptop | made in Texas), and P(computer is a laptop), we cannot determine the exact probability.

Step-by-step explanation:

To find the probability, P(made in Texas | computer is a laptop), we need to use Bayes' theorem. Bayes' theorem states that P(A|B) = (P(B|A) * P(A)) / P(B). In this case, A represents the event that a computer is made in Texas, and B represents the event that the computer is a laptop. Let's assume that P(made in Texas) = x, P(computer is a laptop | made in Texas) = y, and P(computer is a laptop) = z.

Given that P(made in Texas) = x, P(computer is a laptop | made in Texas) = y, and P(computer is a laptop) = z, we can substitute these values into Bayes' theorem to calculate P(made in Texas | computer is a laptop). The formula becomes:

P(made in Texas | computer is a laptop) = (P(computer is a laptop | made in Texas) * P(made in Texas)) / P(computer is a laptop)

Substituting the given values: P(made in Texas | computer is a laptop) = (y * x) / z

Unfortunately, we don't have the specific values of P(made in Texas), P(computer is a laptop | made in Texas), and P(computer is a laptop), so we cannot determine the exact probability. Therefore, none of the given answer choices (a) 0.25, (b) 0.30, (c) 0.70, or (d) 0.75) can be correct.