1. We must choose 4 people to be team leaders. These people must be chosen at random from a group of 9 girls and 3 boys. The discrete random variable X represents the number of girls chosen to be team leaders.

a) What is the image of X?

b) What is the probability that at least two girls are chosen to be leaders?

c) How many girls can we expect to choose to be team leaders?

2. A hair salon found that 5% of clients who make an appointment do not show up. 6 customers are randomly selected.

a) Use a table of values to establish the probability distribution associated with the discrete random variable X which represents the number of customers who do not show up for their appointment.

b) Plot a histogram of the probabilities established in a).

c) Determine the probability that there is at least one person who does not show up for his appointment.

d) What is the most likely number of people who will show up for their appointment? Explain