a manufacturing process has a 70% yeild,meaning 70% of the products are acceptable and 30%are defective.if 3 of the products are randomly selected find the probability that all of them are acceptable

prob = .7^3 = .343

To find the probability that all three randomly selected products are acceptable, we need to multiply the probabilities of selecting an acceptable product for each individual selection.

Given that the manufacturing process has a 70% yield, we can conclude that there is a 70% (or 0.7) probability of selecting an acceptable product for each individual selection. Since there are three selections, we'll need to multiply this probability by itself three times.

So, the probability of selecting an acceptable product for the first selection is 0.7. For the second selection, it is again 0.7, and for the third selection, it is once more 0.7.

To calculate the probability that all three products are acceptable, we multiply these probabilities together:

0.7 * 0.7 * 0.7 = 0.343

Therefore, the probability that all three randomly selected products are acceptable is 0.343 (or 34.3%).