Material fracture tests do not produce results 100% accurate. In the trials of a batch, the results that are shown in the following table were obtained through the test limit stress.   Positive Test Negative Test Billed 80 5 Not Billed 3 11 The researcher's case study is negative results, so he runs 70 tests; decide: a) The expected number and standard deviation of the experiment, b) The probability of obtaining no more than 8 negative results, c) The probability of obtaining 10 negative results, d) The probability of obtaining between 10 and 20 negatives.

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Material fracture tests do not produce results
100% accurate. In the trials of a batch, the results that are
shown in the following table were obtained through the test
limit stress.

  Positive Test Negative Test
Billed 80 5
Not Billed 3 11

The researcher's case study is negative results, so he runs 70 tests; decide:
a) The expected number and standard deviation of the experiment,
b) The probability of obtaining no more than 8 negative results,
c) The probability of obtaining 10 negative results,
d) The probability of obtaining between 10 and 20 negatives.

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