Asked by Sydni Redding on Jun 27, 2024
Verified
The probabilities that a batch of 4 computers will contain 0,1,2,3,and 4 defective computers are 0.4096,0.4096,0.1536,0.0256,and 0.0016,respectively.Find the expected number of defective computers in a batch of 4.
A) 0.80
B) 0.89
C) 1.21
D) 0.70
E) 2.00
Expected Number
In probability and statistics, the expected number is the average outcome you would anticipate seeing if an experiment were repeated many times.
Defective Computers
Computers that fail to operate as intended due to manufacturing flaws, hardware malfunctions, or software issues.
- Understand how to calculate expected values in probability scenarios.
Verified Answer
SK
Sa'adatu KukeeJul 02, 2024
Final Answer :
A
Explanation :
The expected number of defective computers is calculated by multiplying each outcome by its probability and summing these products: 0∗0.4096+1∗0.4096+2∗0.1536+3∗0.0256+4∗0.0016=0+0.4096+0.3072+0.0768+0.0064=0.80*0.4096 + 1*0.4096 + 2*0.1536 + 3*0.0256 + 4*0.0016 = 0 + 0.4096 + 0.3072 + 0.0768 + 0.0064 = 0.80∗0.4096+1∗0.4096+2∗0.1536+3∗0.0256+4∗0.0016=0+0.4096+0.3072+0.0768+0.0064=0.8 .
Learning Objectives
- Understand how to calculate expected values in probability scenarios.