Probability

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)

  1. 👍 0
  2. 👎 0
  3. 👁 531
  1. 1. -> 0.000
    2. -> 1.000
    3. -> 0.383

    1. 👍 0
    2. 👎 0
  2. chegg. com/homework-help/questions-and-answers/let-sn-number-successes-n-independent-bernoulli-trials-probability-success-trial-p-1-2-pro-q16045241

    1. 👍 0
    2. 👎 1
  3. .5
    1
    .6286

    1. 👍 0
    2. 👎 0

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