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.

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)

Anonymous · Answer

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

Anonymous · Answer

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

Anonymous · Answer

.5 1 .6286