Data were collected from a survey given to graduating college seniors on the number of times they had changed majors. From that data, a probability distribution was constructed. The random variable X is defined as the number of times a graduating senior changed majors. It is shown below:

$\displaystyle {x}$	0	1	2	3	4	5
$\displaystyle {P}{\left({X}={x}\right)}$	.28	.37	.23	.09	.02	.01

1. What is the probability that a randomly selected student changed his or her major at least once?
   
   • .12
   • .35
   • .37
   • .65
   • .72
   
   
   
2. What is the probability that a randomly selected student changed his or her major at most twice?
   
   • .12
   • .23
   • .35
   • .88
   
   
   
3. Given that a randomly selected person did change majors, what is the probability that he or she changed majors more than three times?
   
   • .03
   • .04
   • .35
   • .72