Question #3 (12 points - a.) 6 points b.) 3 points c.) 3 points) When Alex leaves for school on Monday, the probability he makes it to class on time is estimated to be 0.75 When he leaves for class on Tuesday, the probability he makes it on time is estimated to be 0.45 Alex would like to know the probability he will be on-time to class both days, or on exactly one of the two days, or if he will be late both days. a.) Please fill in the table below for the Probability Distribution for the variable "The number of days Alex is on-time to class" (Hint: Make a tree diagram to start) **Do NOT round answers on part a.)**

# of days on-time (x)	P(x)
0
1
2

**Round to TWO decimal places on parts b.) and c.)** b.) Find the mean of this Probability distribution: c.) Find the Standard Deviation of this Probability distribution: