Question

Grills Video Products purchases LCDs from Mira Electronics According to his sampling plan Art Grills owner of Gull Video will accept a shipment of LCDs if 3 or fewer are defective in a sample of 25 1. Compute the probabilities and enter the values in the table below. (Round your answers to 3 decimal places.) Percem Probability of Detective accepting lot 10 20 30 40 2. Choose the appropriate percent defective chart for the data given above Chart DE O Chant O Chant O Chart A

Answer 1

Grills video products purchases LCDs from Mira Electronics according to his sampling plan, Arts Grills, owner of Grill video will accept a shipment of LCDs if 3 or fewer defective in a sample of 25.

The probability of accepting a lot may be calculated or be obtained directly from tables of the binomial distribution.

For a shipment containing 10% defective, the probability of any member of the sample being a defective LCDs is 0.10.

The probability of any member of the sample not being a defective LCDs is 1-0.10=0.90

sampling plan, Arts Grills, owner of Grill video will accept a shipment of LCDs if 3 or fewer defective in a sample of 25.

the shipment will accepted if sample contains 0, 1, 2, or 3 defective LCDs.

the probability of this is

$(0.90)^{25}+25*0.10*(0.90)^{24}+300*(0.10)^{2}*(0.90)^{23}+2300*(0.10)^{3}*(0.90)^{22}=0.5667$

Probabilities may be read directly from tables of the binomial distribution with n=25, p=0.10.

Similar calculation may be carried out when shipment contains 20%, 30%, 40% defective LCDs or Probabilities may be read directly from tables of the binomial distribution with n=25, p=0.20 or p=0.30 or p= 0.40 respectively.

This gives the following results

Percent defective	X=0	X=1	X=2	X=3	Probaility of accepting lot
10	0.07179	0.199416	0.265888	0.226497	0.763591358
20	0.003778	0.023612	0.070835	0.135768	0.233993259
30	0.000134	0.001437	0.00739	0.02428	0.033240517
40	2.84E-06	4.74E-05	0.000379	0.001937	0.002366769

1)

Percent defective	Probaility of accepting lot
10	0.567
20	0.116
30	0.012
40	0.001

2) Percentage defective chart is look like Chart B)

0.6 0.5 0.4 0.3 Probability of accepting lot 0.2 0.1 O 9 5 10 15 20 25 30 35 40 45 -0.1 Percent defective