wait is it .78?
here is my problem:
I am doing this lab on streaks in basketball, like 0=miss, 1=hit once, 2= hit two in a row.. so on.
I need to find the mean of this data in terms of its streak, but fathom is not giving me an answer cause my table is all representative, here is my data:
For some reason I am just hitting a mental block at trying to find this...
the answer should be between 1 and 2, but I cant see how to do this.
thanks for your help
We take X as the streak length, a discrete random variable, and we assume that the sample distribution reflects the population distribution, so for all intensive purposes the probability of getting a streak of length 0 is
P(0) = 40/78
The expected value is
0*P(0) + 1*P(1) + 2*P(2) + ...
an infinite probability-weighted sum. In this case you should get 58/78 0.7435897.
That is, we expect over a long period of time that the average streak length will be 58/78.
Increasing sample size should get you closer and closer to the true expected value.