required information\nitems are inspected for flaws by two quality inspectors. if a flaw is present, it will…

required information\nitems are inspected for flaws by two quality inspectors. if a flaw is present, it will be detected by the first inspector with probability 0.950, and by the second inspector with probability 0.7. assume the inspectors function independently.\n\nassume that the second inspector examines only those items that have been passed by the first inspector. if an item has a flaw, what is the probability that the second inspector will find it? (round the final answer to four decimal places.)\nnumeric response

required information\nitems are inspected for flaws by two quality inspectors. if a flaw is present, it will be detected by the first inspector with probability 0.950, and by the second inspector with probability 0.7. assume the inspectors function independently.\n\nassume that the second inspector examines only those items that have been passed by the first inspector. if an item has a flaw, what is the probability that the second inspector will find it? (round the final answer to four decimal places.)\nnumeric response

Answer

Explanation:

Step1: Define given probabilities

Let $P(D_1) = 0.950$ (probability first inspector detects flaw), so $P(\neg D_1) = 1 - 0.950 = 0.050$ (first inspector misses flaw). $P(D_2) = 0.7$ (second inspector detects flaw, independent of $D_1$).

Step2: Apply conditional probability formula

We need $P(D_2 | \neg D_1)$. Since inspectors are independent, $P(D_2 | \neg D_1) = P(D_2)$.

Answer:

0.7000