Answer:
19.21%
Step-by-step explanation:
What we must do is calculate the z value in order to find the probability.
We have that z is equal to:
z = (x - n * p) / (n * p * q) ^ (1/2)
where x is the value to evaluate and is 180, n random sample that is 450 and p that is the probability that is 38 and q the complement of p, therefore it is 62%, we replace:
z = (180 - 450 * 0.38) / (450 * 0.38 * 0.62) ^ (1/2)
z = 0.87
increasing taxes = P (x> 180)
= P (z> 0.87)
= 1 - P (z <= 0.87)
= 1 - 0.8079
= 0.1921
In other words, the probability is 19.21%
