Question

two manufacturers supply blankets to emergency relief organizations. manufacturer a supplies 3000 blankets, and 4% are irregular in workmanship. manufacturer b supplies 2400 blankets, and 7% are found to be irregular. given that a blanket is irregular, find the probability that it came from manufacturer b. round your answer to the 3 decimal places.

Explanation:

Step1: Calculate number of irregular blankets from each manufacturer

Number of irregular blankets from A: $3000\times0.04 = 120$
Number of irregular blankets from B: $2400\times0.07=168$

Step2: Calculate total number of irregular blankets

Total irregular blankets: $120 + 168=288$

Step3: Calculate the probability

Probability that an irregular blanket is from B: $\frac{168}{288}\approx0.583$

Answer:

$0.583$