Probability/Stochastic Theory

Question 1

Bernoulli’s Distribution Applications

Answer 1

1. ) Coin Toss

2. ) Success/Failure experiment

Question 2

Bernoulli’s Distribution

Answer 2

Takes on value 1 with success probability (p) and value 0 with failure probability q = 1 - (p)

Question 3

Takes on value 1 with success probability (p) and value 0 with failure probability q = 1 - (p)

Answer 3

Bernoulli’s Distribution

Question 4

Binomial Distribution Applications

Answer 4

1. ) Obtaining (k) heads in (n) tossing of a coin
2. ) Receiving (k) bits correctly in (n) transmitted bits
3. ) Batch arrival of (k) packets from (n) inputs at an ATM switch

Question 5

1. ) Obtaining (k) heads in (n) tossing of a coin
2. ) Receiving (k) bits correctly in (n) transmitted bits
3. ) Batch arrival of (k) packets from (n) inputs at an ATM switch

Answer 5

Binomial Distribution Applications

Question 6

1. ) Coin Toss

2. ) Success/Failure experiment

Answer 6

Bernoulli’s Distribution Applications

Question 7

Binomial Distribution

Answer 7

Sum of (n) independent IDD Bernoulli’s Random Variable, each of which yields success with probability (p).

Question 8

Sum of (n) independent IDD Bernoulli’s Random Variable, each of which yields success with probability (p).

Answer 8

Binomial Distribution