Question

A recent study found that 70% of all people over 60 years of age wear glasses. If a random sample of 8 people over 60 years of age was selected, find these probabilities: a) Exactly 4 people will wear glasses. b) At most 2 people will wear glasses. c) At least 2 people will wear glasses. Show work and use binomial probability table.

Answer 1

Let X be the number of people over 60 years of age who wear glasses

Then X ~ Binomial(8,0.70)

The probability table is:

X	P(X=x)
0	0.0000656
1	0.0012247
2	0.0100019
3	0.0466754
4	0.1361367
5	0.2541218
6	0.2964755
7	0.1976503
8	0.0576480

a)

We need to find P(X=4)

b)

We need to compute Pr(X≤2)

c)

We need to compute Pr(X≥2)

Additional Table

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