HCT buys red and blue pens in the ratio 1:2. The
college has three suppliers for these [4] pens. Supplier A provides
70% of the red pens and 40% of the blue pens. The remainder of the
red pens come from supplier B and the remainder of the blue pens
come from supplier C. The college knows that 20% of the pens
supplied by A, 15% of those supplied by B, and 10% of those
supplied by C are defective. The pens are all stored together in a
box. A member of the staff takes a pen at random.
a) Find the probability that the pen will be defective.
b) The member of the staff found that the pen was defective and
immediately complained about the quality of pens from supplier A.
See whether he is justified by finding the probability that the
defective pen was from A.
HCT buys red and blue pens in the ratio 1:2. The college has three suppliers for...
A company buys tires from three suppliers A, B and C. Supplier A has a record of delivering tires containing 8% defective, whereas supplier B has a defective rate of only 4% and supplier C has defective rate of 12%. Suppose 35% of current supply comes from supplier A, 30% from supplier C and rest from supplier B. If a tire is selected at random, find the probability: (a) that the tire is NOT defective; (b) given the selected tire...
1/ Consider the following table. Defects in batch Probability 2 0.18 3 0.29 4 0.18 5 0.14 6 0.11 7 0.10 Find the standard deviation of this variable. 1.52 4.01 1.58 2.49 2/ The standard deviation of samples from supplier A is 0.0841, while the standard deviation of samples from supplier B is 0.0926. Which supplier would you be likely to choose based on these data and why? Supplier B, as their standard deviation is higher and, thus, easier to...