Question

Use proper probability notation. Identify function and label inputs when using technology.

1. Honda cars make up 18% of registered vehicles in Florida. You take a SRS of 500 car owners in Florida. What is the chance


your sample contains 20% or more of Honda owners? Use the 4-step plan.

Answer 1

0.1349

Explanation:

Given that:

Sample size, n = 500

20% of 500 ; 0.2 * 500 = 100

p = 0.18 ; n = 500 ; 1 - p = 0.82

P(x ≥ 100) ;

Using the binomial probability relation :

P(x =x) = nCx * p(x)^x * (1 - p)^(n - x

P(x ≥ 100) = 500C100 * 0.18^100 * 0.82^400

P(x ≥ 100) = 0.1349