About 5% of hourly paid workers in a region earn the prevailing minimum wage or less. A grocery chain offers discount rates to companies that have at least 30 employees who earn the prevailing minimum wage or less. Complete parts (a) through (c) below. (a) Company A has 285 employees. What is the probability that Company A will get the discount? (Round to four decimal places as needed.) (b) Company B has 503 employees. What is the probability that Company B will get the discount? (Round to four decimal places as needed.) (c) Company C has 1002 employees. What is the probability that Company C will get the discount? (Round to four decimal places as needed.)

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About 5% of hourly paid workers in a region earn the prevailing minimum wage or less. A grocery chain offers discount rates to companies that have at least 30
employees who earn the prevailing minimum wage or less. Complete parts (a) through (c) below.
(a) Company A has 285 employees. What is the probability that Company A will get the discount?
(Round to four decimal places as needed.)
(b) Company B has 503 employees. What is the probability that Company B will get the discount?
(Round to four decimal places as needed.)
(c) Company C has 1002 employees. What is the probability that Company C will get the discount?
(Round to four decimal places as needed.)
nal
f
Enter your answer in each of the answer boxes.
Transcribed Image Text:About 5% of hourly paid workers in a region earn the prevailing minimum wage or less. A grocery chain offers discount rates to companies that have at least 30 employees who earn the prevailing minimum wage or less. Complete parts (a) through (c) below. (a) Company A has 285 employees. What is the probability that Company A will get the discount? (Round to four decimal places as needed.) (b) Company B has 503 employees. What is the probability that Company B will get the discount? (Round to four decimal places as needed.) (c) Company C has 1002 employees. What is the probability that Company C will get the discount? (Round to four decimal places as needed.) nal f Enter your answer in each of the answer boxes.
Expert Solution
Step 1

Given, 

Probability (p) = 0.05

For part a. 

sample size (n)=285

Probability of success is fixed and samples are independent are fixed hence x follows binomial distribution.

np =0.05×285=14.25

q=1-p

nq=285×(1-0.05)=285×0.95=270.25

Here np and nq both greater than 5 hence we use normal approximation

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