Find l2 using binomial pdf

Question

Assume that a procedure yields a binomial distribution with a trial repeated  times. Use some form of technology to find the cumulative probability distribution given the probability  of success on a single trial.(Report answers accurate to 4 decimal places.)

0

1

2

3

4

5

Answer 1

The probability of success on attempt R if you have N trials and your probability of success is p is a formula:

_NC_R * p^r * (1-p)^(n-r)

With 5 trials, and the probability of success of any one trial being .581 this looks like this:

₅C_r * .581^r *(.419)^(5-r)

where r is the numbers from 0 to 5.

Plugging these numbers into a spreadsheet gives us the probability distribution function:

0 .0129

1 .0895

2 .2483

3 .3443

4 .2387

5 .0662

...since I don't want to do all your work for you, you have to add up the current probability to all the previous probabilities to get the cumulative distribution function. (hint: the cdf at 5 had better come out to 1.000).