×
Log in to StudySoup
Get Full Access to Probability And Statistics For Engineers And The Scientists - 9 Edition - Chapter 2 - Problem 37e
Join StudySoup for FREE
Get Full Access to Probability And Statistics For Engineers And The Scientists - 9 Edition - Chapter 2 - Problem 37e

Already have an account? Login here
×
Reset your password

An experimenter is studying the effects of temperature,

Probability and Statistics for Engineers and the Scientists | 9th Edition | ISBN: 9780321629111 | Authors: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye ISBN: 9780321629111 32

Solution for problem 37E Chapter 2

Probability and Statistics for Engineers and the Scientists | 9th Edition

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Probability and Statistics for Engineers and the Scientists | 9th Edition | ISBN: 9780321629111 | Authors: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye

Probability and Statistics for Engineers and the Scientists | 9th Edition

4 5 1 244 Reviews
21
4
Problem 37E

An experimenter is studying the effects of temperature, pressure, and type of catalyst on yield from a certain chemical reaction. Three different temperatures, four different pressures, and five different catalysts are under consideration. a. ?If any particular experimental run involves the use of a single temperature, pressure, and catalyst, how many experimental runs are possible? b. ?How many experimental runs are there that involve use of the lowest temperature and two lowest pressures? c. ?Suppose that five different experimental runs are to be made on the first day of experimentation. If the five are randomly selected from among all the possibilities, so that any group of five has the same probability of selection, what is the probability that a different catalyst is used on each run?

Step-by-Step Solution:

Answer : Step 1 : Given an experimenter is studying the effects of temperature, pressure, and type of catalyst on yield from a certain chemical reaction. Three different temperatures, four different pressures, and five different catalysts are under consideration. a).If any particular experimental run involves the use of a single temperature, pressure, and catalyst. There are three different elements in this problem, so we are looking for the number of 3-tuples possible from the choices for the elements. This problem is with replacement because the choices for each of the elements can appear more than once. We can use the simplest version of the product rule to find the solution. n1=number of choices for temperature in the experiment = 3 n2=number of choices for pressure in the experiment = 4 n3=number of choices for catalyst in the experimen = 5 (n1 × n2 × n3) = Total Number of Runs So 3 × 4 × 5 = 60runs. Here 60 experimental runs. Therefore 60 experimental runs are possible. Step 2 : b). Now we have to find experimental runs are there that involve use of the lowest temperature and two lowest pressures. The set-up for this problem is identical to part a, but the variables representing the number of choices for the temperature and pressure elements have changed. n1=the lowest of the three temperatures used in the experiment =1 n2=the two lowest of the four pressures used in the experiment = 2 n3=the number of catalysts used in the experiment = 5 (n1 × n2 × n3) = Total Number of Runs 1 × 2 × 5 = 10Experimental Runs Hence 10 experimental runs are there that involve use of the lowest temperature and two lowest pressures.

Step 3 of 3

Chapter 2, Problem 37E is Solved
Textbook: Probability and Statistics for Engineers and the Scientists
Edition: 9
Author: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye
ISBN: 9780321629111

The answer to “An experimenter is studying the effects of temperature, pressure, and type of catalyst on yield from a certain chemical reaction. Three different temperatures, four different pressures, and five different catalysts are under consideration. a. ?If any particular experimental run involves the use of a single temperature, pressure, and catalyst, how many experimental runs are possible? b. ?How many experimental runs are there that involve use of the lowest temperature and two lowest pressures? c. ?Suppose that five different experimental runs are to be made on the first day of experimentation. If the five are randomly selected from among all the possibilities, so that any group of five has the same probability of selection, what is the probability that a different catalyst is used on each run?” is broken down into a number of easy to follow steps, and 126 words. Since the solution to 37E from 2 chapter was answered, more than 854 students have viewed the full step-by-step answer. Probability and Statistics for Engineers and the Scientists was written by and is associated to the ISBN: 9780321629111. This full solution covers the following key subjects: experimental, runs, catalyst, temperature, run. This expansive textbook survival guide covers 18 chapters, and 1582 solutions. This textbook survival guide was created for the textbook: Probability and Statistics for Engineers and the Scientists, edition: 9. The full step-by-step solution to problem: 37E from chapter: 2 was answered by , our top Statistics solution expert on 05/06/17, 06:21PM.

Other solutions

People also purchased

Related chapters

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

An experimenter is studying the effects of temperature,