When Alex leaves for school on Monday, the probability he makes it to class on time is estimated to be $0\mathrm{.}95$

When he leaves for class on Tuesday, the probability he makes it on time is estimated to be $0\mathrm{.}65$

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: