If the sample space S is an infinite set, does this necessarily imply that any random variable X defined from S will have an infinite set of possible values? Yes No If yes, say why. If no, give an example.

Aproduction manager test 10 toothbrushes and finds that their mean lifetime is 450 hours. she then design sales package of this type of toothbrush. it states that the customers can expect the toothbrush to last approximately 460 hours. this is an example of what phase of inferential statistics