Question

1) if someone told you they can meet up with you for dinner on the weekend with 100% certainty, would you believe him / her ? explain your reason.

2) if we flip two coins, coin1 and coin2 at the same time and end up getting coin1 being heads and coin2 being tails on our first toss. is it reasonable to get the same outcome if we flip the two coins again? explain your reason.

3) what does stochasticity mean ?

4) what is probabilistic Assurance of performance refer to in engineering terminology ?

5) what is the difference between statistics and probability ?

please answer all questions if you can't leave it to someone else. thanks

Answer 1

(1)

We will not believe him/ her.

EXPLANATION: There are many factors which can affect the event: meeting up for dinner on the weekend, which cannot be controlled. Thus, 100%certainty is impossible to achieve in this case.

(2)

It is reasonable to get the same outcome but it is not certain

EXPLANATION:

There are 4 possible outcomes: (h,h), (h,t), (t,h), (t,t).

So,

Probability of (h,t) = 1/4 = 0.25.

This probability of 0.25 is reasonable but not certain.

(3)

Stochasticity means the quality of lacking any predictable order. It contains a random element and hence it is unpredictable and without a stable pattern.

(4)

In engineering technology, probabilistic assurance of performance is the application of probability distributions governing the strength of the material under consideration as well as the loads acing on the system, thus enabling the evaluation of the structural reliability with a specified confidence level instead of the conventional Factor of Safely approach.

(5)

Probability deals with predicting the likelihood of future events, while statistics involve the analysis of the frequency of past events.