Question

A production line produces monitors, 7% of which have cosmetic defects. A quality manager randomly selects 7 monitors from the production line and is interested in the number of defective parts found.

For questions 2-9 compute the probability for the number of monitors that have a cosmetic defect. (Use 5 decimal places for your answers):

Table 01

x	f (x)
0	x0
1	x1
2	x2
3	x3
4	x4
5	x5
6	x6
7	x7

Compute the probability for x₀.

	a.	0.60170
	b.	0.12500
		c. 0.04955 Based on information in Table 01, compute the probability for x1. a. 0.53282 b. 0.12500 c. 0.31702

Based on information in Table 01, compute the probability for x₂.

	a.	0.12500
	b.	0.07159
	c.	0.14317

Based on information in Table 01 compute the probability for x₃.

	a.	0.53882
	b.	0.12500
	c.	0.00898

Based on information in Table 01 compute the probability for x₄.

	a.	0.00068
	b.	0.06759
	c.	0.12500

Based on information in Table 01 compute the probability for x₅.

	a.	1.25000 × 10-1
	b.	3.05264 × 10-5
	c.	3.05264 × 10-6

Based on information in Table 01 compute the probability for x₆.

	a.	7.65895 × 10-8
	b.	1.25000 × 10-1
	c.	7.65895 × 10-7

Based on information in Table 01 compute the probability for x₇.

	a.	8.23543 × 10-10
	b.	8.23543 × 10-08
	c.	8.23543 × 10-09

Based on information in Table 01 compute the expected value of monitors with cosmetic defects.

	a.	0.49
	b.	1.00
	c.	6.51

Based on information in Table 01 compute the standard deviation in cosmetic defects in monitors.

	a.	2.44949
	b.	0.44970
	c.	0.67506

Based on information in Table 01 compute the probability that the maximum number of monitors with cosmetic defects is 3.

	a.	0.99929
	b.	0.00898
	c.	0.00710

Based on information in Table 01, compute the probability that the number of monitors with cosmetic defects is at least 4.

	a.	0.00068
	b.	0.00071
	c.	3.130050 × 10-5

Based on information in Table 01, for the next 1000 units what is the expected value of monitors with cosmetic defects?

	a.	930
	b.	70
	c.	700

Answer 1