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.
2:1
To find the probability that all three products are acceptable, we need to multiply the individual probabilities of selecting an acceptable product for each of the three selections.
Given that the manufacturing process has a 70% yield, the probability of selecting an acceptable product on the first attempt is 70% or 0.7.
Since each selection is made independently, the probability of selecting an acceptable product on the second attempt is also 0.7, and the probability of selecting an acceptable product on the third attempt is also 0.7.
To find the probability of all three events happening, we multiply the probabilities together:
0.7 * 0.7 * 0.7 = 0.343 or 34.3%
Therefore, the probability that all three randomly selected products are acceptable is 34.3%.