AP Statistics (Highschool), Probability Percentage

Question

In an effort to cut costs and improve profits, any US companies have been turning to outsourcing. In fact, according to Purchasing magazine, 54% of companies surveyed outsourced some part of their manufacturing process in the past two to three years. Suppose 555 of these companies are contacted.

1. What is the probability percentage that 338 or more companies outsourced some part of their manufacturing process in the past two or three years? Round the percent to two decimal places. 
2. What is the probability percentage that 285 or more companies outsourced some part of their manufacturing process in the past two or three years? Round the percent to two decimal places.
3. What is the probability percentage that 48% or less of these companies outsourced some part of their manufacturing process in the past two or three years? Round the percent to two decimal places. 

Answer 1

This is binomial as there are only two outcomes (Outsourcing or not outsourcing)

#1.

x (number of success) = 338

n (number of samples) = 555

p (probability of success) = .54

We are interested in the Binomial Probability P(x>=338)

Plugging this into a binomial calculator, such as this one (https://stattrek.com/online-calculator/binomial), we get the following:

P(X>=338) = .00061

Give the other ones a try and let me know how it goes!