How many times must we toss a coin to ensure that a 0.95-confidence interval for the probability of heads on a single toss has length less than 0.1, 0.05, and 0 .01, respectively

(1) 97

(2) 385

(3) 9604

Step-by-step explanation:

The (1 - α) % confidence interval for population proportion is:

The margin of error in this interval is:

The formula to compute the sample size is:

(1)

Given:

*Use the z-table for the critical value.

Compute the value of n as follows:

Thus, the minimum sample size required is 97.

(2)

Given:

*Use the z-table for the critical value.

Compute the value of n as follows:

Thus, the minimum sample size required is 385.

(3)

Given:

*Use the z-table for the critical value.

Compute the value of n as follows:

Thus, the minimum sample size required is 9604.

let y equal to

the total fare and x is the mile of taxi ride. so the equation is

y = 0.55x + 1.75

since susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

x = 15 miles of

taxi ride

so the system of

inequality is

10 < 0.55x +

1.75

x > 2

hello! just here for points! though i wish i knew!