ple: Mass production process • Estimated 6% defective rate. • Randomly sample 50 units each week. •The r.v. X = # defectives in 50 units (a) What is the distribution of X? Binomial (n = 50, p = 0.06) (b) What is the probability of 3 defectives P[X =3] =b(3;50,0.06) 50 (39) (0.06) α Page (0.06)³ (1-0.06) 50-3
ple: Mass production process • Estimated 6% defective rate. • Randomly sample 50 units each week. •The r.v. X = # defectives in 50 units (a) What is the distribution of X? Binomial (n = 50, p = 0.06) (b) What is the probability of 3 defectives P[X =3] =b(3;50,0.06) 50 (39) (0.06) α Page (0.06)³ (1-0.06) 50-3
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![Example: Mass production process
• Estimated 6% defective rate.
Randomly sample 50 units each week.
• The r.v. X = # defectives in 50 units
(a) What is the distribution of X?
Binomial (n = 50, p = 0.06)
(b) What is the probability of 3 defectives?
P[X=3]=b(3:50,0.06)
50
- ($9) (0.06)
3
(0.06)³ (1-0.06) 50-3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F85d0b600-343a-4c50-b084-d7e740ad6b3e%2F0b0d91c9-29ed-415b-b9de-15ba2e61ac7e%2Fbfb8hmh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Example: Mass production process
• Estimated 6% defective rate.
Randomly sample 50 units each week.
• The r.v. X = # defectives in 50 units
(a) What is the distribution of X?
Binomial (n = 50, p = 0.06)
(b) What is the probability of 3 defectives?
P[X=3]=b(3:50,0.06)
50
- ($9) (0.06)
3
(0.06)³ (1-0.06) 50-3
![Mass production process (cont' d)
X=# defectives in 50 units~ Bin(n = 50, p = 0.06)
(c) What is the probability of more than 3?
P[X >3] =1-P[X ≤ 3]=1- B(3;50,0.06)
=1-b(1:50,0.06)
t=0
- 2 (50)
(59) (0.06)
1=0
=1-
(0.06)' (1-0.06)50-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F85d0b600-343a-4c50-b084-d7e740ad6b3e%2F0b0d91c9-29ed-415b-b9de-15ba2e61ac7e%2Fftccyza_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Mass production process (cont' d)
X=# defectives in 50 units~ Bin(n = 50, p = 0.06)
(c) What is the probability of more than 3?
P[X >3] =1-P[X ≤ 3]=1- B(3;50,0.06)
=1-b(1:50,0.06)
t=0
- 2 (50)
(59) (0.06)
1=0
=1-
(0.06)' (1-0.06)50-
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