Answer:
a
b
Step-by-step explanation:
Let the random X variable representing the 6 companies that give 4 weeks of vacation after 15 years of employment:
-let p=0.5 be the probability of vacation. Since the companies are independent, X assumes a binomial random variable:
#Probability that the number of companies that give vacation is anywhere from 2 to 5:
We use equation 1;
Hence the probability that between 2 and 5 companies give vacation is 0.875
b. The probability that fewer than 3 companies give vacation is calculated as:
From equation one we get:
Hence the probability that less than three companies give vacation is 0.3432