Question

3. One percent of computer memory chips produced in a certain factory are defective. 30 chips are randomly sampled.

1. Compute the probability that none of the 30 chips sampled are defective.

2. Compute the probability that there are at least 1 defective chips among the 30 chips sampled.

Compute the probability that there are 2 or fewer defective chips among the 30 chips sampled

Answer 1

Let X be the number of defective memory chips.

Then X ~ Binomial(30,0.01)

Using the above formula we have:

X	P(X=x)
0	0.73970037
1	0.22415163
2	0.03283029
3	0.00309511
4	0.00021103
5	0.00001108
6	0.00000047
7	0.00000002
8	0.00000000
9	0.00000000
10	0.00000000
11	0.00000000
12	0.00000000
13	0.00000000
14	0.00000000
15	0.00000000
16	0.00000000
17	0.00000000
18	0.00000000
19	0.00000000
20	0.00000000
21	0.00000000
22	0.00000000
23	0.00000000
24	0.00000000
25	0.00000000
26	0.00000000
27	0.00000000
28	0.00000000
29	0.00000000
30	0.00000000

(a)

We need to find P(X=0)

(b)

We need to find P(X>=1)

(c)

We need to find P(X<=2)

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