×

# A machine produces 1000 steel O-rings per day. Each ring

ISBN: 9780073401331 38

## Solution for problem 12E 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 0 330 Reviews
27
0
Problem 12E

A machine produces 1000 steel O-rings per day. Each ring has probability 0.9 of meeting a thickness specification.

a. What is the probability that on a given day, fewer than 890 O-rings meet the specification?

b. Find the 60th percentile of the number of O-rings that meet the specification.

c. If the machine operates for five days, what is the probability that fewer than 890 O-rings meet the specification on three or more of those days?

Step-by-Step Solution:

Step 1 of 4</p>

Here given a machine produces 1000 steel O-rings per day

n=1000

The probability of each ring meeting the specification is p=0.9

Let x represents the no.of rings meeting the specification

Here XB(1000,0.9)

Here x is approximately following the normal distribution

Mean =np

=1000(0.9)

=900

Variance

=1000(0.9)(0.1)

=90

SD

=9.49

Step 2 of 4</p>

a) Here we have to find the probability of fewer than 890 O rings meet the specification

We have to find P(X<890)

Now Z=(

=(890-900)/9.49

=-1.05

Now find P(Z< -1.05) value from the standard normal tables

P(Z< -1.05)=0.1469

The probability of fewer than 890 O rings meet the specification is 0.1469

Step 3 of 4

Step 4 of 4

##### ISBN: 9780073401331

Since the solution to 12E from 4.11 chapter was answered, more than 1282 students have viewed the full step-by-step answer. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. The answer to “A machine produces 1000 steel O-rings per day. Each ring has probability 0.9 of meeting a thickness specification.a. What is the probability that on a given day, fewer than 890 O-rings meet the specification?________________b. Find the 60th percentile of the number of O-rings that meet the specification.________________c. If the machine operates for five days, what is the probability that fewer than 890 O-rings meet the specification on three or more of those days?” is broken down into a number of easy to follow steps, and 73 words. This full solution covers the following key subjects: Rings, specification, meet, Probability, fewer. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. The full step-by-step solution to problem: 12E from chapter: 4.11 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4.

#### Related chapters

Unlock Textbook Solution

A machine produces 1000 steel O-rings per day. Each ring

×