Purchase Solution

# Find the probability of observing an event.

Not what you're looking for?

PROBLEM 1
PART ONE
In a shipment of 15 room air conditioners, there are 3 with defective thermostats. Two air conditioners will be selected at random and inspected one after another. Find the probability that
(a) The first is defective.
(b) The first is defective and the second is good.
(c) Both are defective.
(d) The second air conditioner is defective.
(e) Exactly one is defective.

PART TWO
Now suppose 3 air conditioners will be selected at random and checked one after another. Find the probability that
(a) All three are good.
(b) The first 2 are good and the third is defective.
(c) Two are good and 1 is defective.

##### Solution Summary

The following question outlines the process for determining the probability of observing an event. This probabilities are solved in the context of a quality assurance problem.

##### Solution Preview

PROBLEM 1
PART ONE
In a shipment of 15 room air conditioners, there are 3 with defective thermostats. Two air conditioners will be selected at random and inspected one after another. Find the probability that
(a) The first is defective.

Since there are 3 defective and 15 air conditioners in total,
P (the first is defective) = 3/15 = 1/5 = 0.20

(b) The first is defective and the second is good.

Given that the first is defective, P = 3/15, and the second is good, P = 12 / 14

P (first is defective and the second is good) = ...

##### Free BrainMass Quizzes

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

##### Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

##### Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

##### Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.