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7. In a survey of college students, it was discovered that 30% had received flushots, 60% had skin test for tuberculosis, and 20% had received neither.What is the probability that a randomly selected student received both? 8. A manufacturer claims that its drug test will detect steroid use (that is, showpositive for an athlete who uses steroids) 98% of the time. What the companydoes not tell you is that 8% of all steroid-free individuals also test positive(the false positive rate). It is know that 15% of the athletes use steroids.Define two events as follows:E : the event that an athlete tests positiveF: the event that an athlete uses steroids.Find p(E), p(F/E).

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