Question

Suppose there are n independent trials of an experiment with k3 mutually exclusive​ outcomes, where pi represents the probability of observing the ith outcome. What would be the formula of an expected count in this​ situation?

Answer 1

Complete question :

Suppose there are n independent trials of an experiment with k > 3 mutually exclusive​ outcomes, where Pi represents the probability of observing the ith outcome. What would be the formula of an expected count in this​ situation?

Answer: Ei = nPi

Step-by-step explanation:

Since Pi represents the probability of observing the ith outcome

The number of independent trials n = k>3 :

Expected outcome of each count will be the product of probability of the ith outcome and the number of the corresponding trial.

Hence, Expected count (Ei) = probability of ith count * n

Ei = nPi