Of patients going to primary care physician's (PCP's) office, 30% are referred to the specialist, 40% need lab work, and 35% require neither lab work nor a referral to a specialist.
(a) Find out the probability that a visit to a PCP's office results in both lab work and a referral to a specialist.
(b) Suggest the case when five records of patients' visits to a PCP's office are selected at random. Find the probability that all 5 of them are referred to a specialist.
(c) Suggest the case when another five records of patients' visits to a PCP's office are selected at random. Find the probability that at least one of them is referred to a specialist.