Understanding Probability & Statistics

Click For Summary
SUMMARY

The discussion focuses on calculating the probability that the current drawn from a computer's 32-bit register falls between 1.2 and 1.4 microamperes. The current is defined by the equation i = 0.1 + 0.05k, where k represents the number of 1's in the register. Given that 1's and 0's are equally likely, the probability can be determined by finding the bounds on k that correspond to the specified current range. This involves applying binomial probability concepts to derive the final probability value.

PREREQUISITES
  • Understanding of binomial probability distribution
  • Familiarity with basic statistics concepts
  • Knowledge of random variables and their properties
  • Ability to perform calculations involving probabilities
NEXT STEPS
  • Study binomial distribution and its applications in probability
  • Learn how to calculate expected values and variances for random variables
  • Explore the concept of independence in probability theory
  • Investigate statistical methods for analyzing discrete random variables
USEFUL FOR

Students studying probability and statistics, educators teaching statistical concepts, and professionals working in data analysis or computer science fields.

Execute
Messages
2
Reaction score
0
Hey everyone!

I had the following problem on mt test & still can't figure out how to do it. Please help me understand it.

Question: A computer has a 32-bit register. The current drawn from the power supply is
i = 0.1 + 0.05k(micro amperes), where k is the number of 1's in the register. Under normal operating conditions, 1's and 0's are equally likely and independent throughout the register. Find the probability that the current falls between 1.2 & 1.4 (micro amperes), inclusive.

Thanks everyone.
 
Physics news on Phys.org
You really are supposed to explain your own thoughts before receiving help here, but I'll start you off by saying that you should use the bounds on the current to find bounds on k.
 

Similar threads

Engineering Issue with shift registers — PIPO, PISO, SIPO and SISO
  • · Replies 10 ·
Replies
10
Views
4K
Undergrad Particle clusters in a random lattice
  • · Replies 3 ·
Replies
3
Views
1K
Graduate Meaning of thermodynamic probability
  • · Replies 4 ·
Replies
4
Views
3K
Probability or Mathematical Statistics?
  • · Replies 4 ·
Replies
4
Views
2K
Understanding the Probability of Packet Loss in a Congested Network
  • · Replies 2 ·
Replies
2
Views
6K
I don't understand kind of program the instructions want
  • · Replies 4 ·
Replies
4
Views
3K
Observation of events and analysis of the associated Hypotheses
  • · Replies 8 ·
Replies
8
Views
2K
Help me understand how this breadboard works?
  • · Replies 6 ·
Replies
6
Views
3K
Undergrad Help understanding conditional expectation identity
  • · Replies 1 ·
Replies
1
Views
3K
HVAC Electrical Issue: Current Leakage from Furnace
  • · Replies 79 ·
3
Replies
79
Views
7K