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From where did we obtain the circled values in the picture ? Thank You Each day,

ID: 3256601 • Letter: F

Question

From where did we obtain the circled values in the picture ? Thank You

Each day, Monday through Friday, a batch of components sent by a first supplier arrives at a certain inspection facility. Two days a week, a batch also arrives from a second supplier. Eighty percent of all supplier 1's batches pass inspection, and 90% of supplier 2's do likewise. What is the probability that, on a randomly selected day. two batches pass inspection? We will answer this assuming that on days when two batches are tested, whether the first batch passes is independent of whether the second batch does so. Figure 2.13 displays the relevant information.

Explanation / Answer

We receive one of the batches everyday and another one is received 2 days a week (of 5 days). Thus two batches arrive with probability of 2/5=0.4 and one batch alone will arrive at 1-0.4=0.6