×
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 4.11 - Problem 18e
Join StudySoup
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 4.11 - Problem 18e

×

The manufacture of a certain part requires two different

ISBN: 9780073401331 38

Solution for problem 18E Chapter 4.11

Statistics for Engineers and Scientists | 4th Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants

Statistics for Engineers and Scientists | 4th Edition

4 5 1 298 Reviews
11
5
Problem 18E

The manufacture of a certain part requires two different machine operations. The time on machine 1 has mean 0.5 hours and standard deviation 0.4 hours. The time on machine 2 has mean 0.6 hours and standard deviation 0.5 hours. The times needed on the machines are independent. Suppose that 100 parts are manufactured.

a. What is the probability that the total time used by machine 1 is greater than 55 hours?

b. What is the probability that the total time used by machine 2 is less than 55 hours?

c. What is the probability that the total time used by both machines together is greater than 115 hours?

d. What is the probability that the total time used by machine 1 is greater than the total time used by machine 2?

Step-by-Step Solution:

Solution

Step 1 of 7

Let X1 represents the time in machine 1

Let X2 represents the time in machine 2

Here the sample size 100

The total time on machine 1 has mean =0.5(100)=50

Standard deviation =0.4

=4

The total time on machine 2 has mean =0.6 (100)=60

Standard deviation =0.5

=5

Step 2 of 7

Step 3 of 7

Discover and learn what students are asking

Calculus: Early Transcendental Functions : Preparation for Calculus
?In Exercises 1–4, find any intercepts. $$y=x^{2}-8 x+12$$

Calculus: Early Transcendental Functions : Conics, Parametric Equations, and Polar Coordinates
?In Exercises 1–6, match the equation with the correct graph. [The graphs are labeled (a), (b), (c), (d), (e), and (f).]

Calculus: Early Transcendental Functions : Conics, Parametric Equations, and Polar Coordinates
?In Exercises 1–6, match the equation with the correct graph. [The graphs are labeled (a), (b), (c), (d), (e), and (f).]

Calculus: Early Transcendental Functions : Parametric Equations and Calculus
?In Exercises 1-4, find $$d y / d x$$. $$x=t^{2}, y=7-6 t$$

Calculus: Early Transcendental Functions : Directional Derivatives and Gradients
?In Exercises 13 - 18, find the gradient of the function at the given point. w = x tan (y + z), (4, 3, -1)

Chemistry: The Central Science : Molecular Geometry and Bonding Theories
?Give approximate values for the indicated bond angles in the following molecules:

Related chapters

Unlock Textbook Solution