Question

Ellen has music practice three days a week. She practices for all of the three days 85% of the time, two days 8% of the time, one day 4% of the time, and no days 3% of the time. One week is selected at random. What values does X take on?

Short answer

X takes on the values as$0,1,2,3$

Step-by-step solution

Content Introduction

Random variable is defined as variables whose values are unknown and we are supposed to find it.

Content Explanation

We are given,

Through a stem diagram, we can say that she practices three days, two days, one day, and no days Therefore the values of X will be $0,1,2,3$. It also tells us the probability of each of these events. The probability is represented as $3\%$ of the time she practices on zero day, she practices one day, $4\%$ of time, then she practices two days $8\%$ of the time etc.