The following table presents the probability distribution of the number of vacations Xtaken last year for a randomly chosen family. Find the probability that a family took at least 3 vacations last year. Show your work x 0 1 2 3 4 p(x) 0.05 0.69 0.17 0.07 0.02   a.0.09  b.0.07  c.0.26  d.0.91

Consider the following probability distribution. Find the probability that x=2. x.           0              1               2             3            4              5   p(x).       .12         .25              ?            .18        .14           .11

A ballet instructor is interested in knowing what percent of each year's class will continue on to the next, so that she can plan what classes to offer. Over the years, she has established the following probability distribution. •   Let X = the number of years a student will study ballet with the teacher. •   Let P(x) = the probability that a student will study ballet x years. Complete the table below using the data provided. (Enter exact numbers as integers, fractions, or decimals.) x P(x) x*P(x) 1 0.10   2 0.10   3 0.20   4     5 0.20   6 0.20   7 0.05

Find the probability ​P(Ec​) if ​P(E)=0.17.

Just complete sub parts d,e, and f

What is the probability a student will take 2 or 3 classes in a semester?