Amanufacturing process has a? 70% yield, meaning that? 70% of the products are acceptable and? 30% are defective. if threethree of the products are randomly? selected, find the probability that all of them are acceptable. round to threethree decimal places as needed.

1. Assume the manufacturer produced 100 products.

2. 70 are acceptable and 30 are defective.

3. the first product has a probability of 70/100 to be selected from the acceptable ones. The second 69/99 (one is removed from the good ones) and the third one 68/98

4. so P(pick 3 consecutive acceptable products)==0.339

5. If familiar to the Combination formula C(n, r)=:

P(picking 3 acceptable out of 100)=n(picking 3 acceptable)/n(picking 3)=C(70, 3)/C(100/3)= = 0.339