Answer: 0.80
Step-by-step explanation:
Given : The owner of the West End Kwick Fill Gas Station wishes to determine the proportion of customers who pay at the pump using a credit card or debit card.
He surveys 100 customers and finds that 80 paid at the pump.
Then, sample proportion=
Since , the best point estimate for population proportion is sample proportion.
Therefore, the estimated value for population proportion =0.80
I don't see a square root sign anywhere, so I'll assume the integral is
First complete the square:
Now in the integral, substitute
so that
Under this change of variables, we have
so that
Under the right conditions, namely that cos(<em>t</em>) > 0, we can further reduce the integrand to
Expand the sine term as
Then
So the integral is