Question

Let Sn be the number of successes in n independent Bernoulli trials, where the probability of success for each trial is 1/2 . Provide a numerical value, to a precision of 3 decimal places, for each of the following limits.

1. lim P (n/2 - 20 < Sn < n/2 + 20)

2. lim P (n/2 - n/3 < Sn < n/2 + n/3)

3. lim P (n/2 - sqrt(n)/4 < Sn < n/2 + sqrt(n)/4)

Answer 1

1. -> 0.000
2. -> 1.000
3. -> 0.383

Answer 2

chegg. com/homework-help/questions-and-answers/let-sn-number-successes-n-independent-bernoulli-trials-probability-success-trial-p-1-2-pro-q16045241

Answer 3

.5
1
.6286