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Makovka662 [10]
3 years ago
12

A recent survey found that 30% of telephone users have switched completely to cell phone use (i.e. they do not have landlines in

their homes). A random sample of 10 of these customers is selected. Would it be considered unusual if there was 1 telephone user in this sample without a landline
Mathematics
1 answer:
Lilit [14]3 years ago
7 0

Answer:

it cannot be considered unusual if there was 1 telephone user in this sample without a landline

Step-by-step explanation:

Given that a recent  survey found that 30% of telephone users have switched completely to cell phone use (i.e. they do not have landlines in their homes)

Each telephone user is independent of the other and hence prob for switching to cell phone has constant probability 0.30

X the no of customers who switch to cell phones from the sample of 10 is

Binomial with n =10 and p = 0.30

Prob (x=1) = Prob there was 1 telephone user in this sample without a landline

=10C1 (0.3)^1 (0.7)^9\\= 0.1211

This is not very near to 0.

Hence this is not a rare event.

So it cannot be considered unusual if there was 1 telephone user in this sample without a landline

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