Question

Randomly selected Physical Therapy Assistants at clinics around the state are assessed on their knowledge about a new procedure. Each assistant's knowledge is evaluated as Advanced, Satisfactory, or Needs Improvement. Based on many previous assessments, it is expected that 60% will show Satisfactory knowledge, and 25% will have knowledge that Needs Improvement. In a sample of 40 assistants, how many would we expect to show Advanced knowledge?

Answer:

Answer 1

P(Satisfactory knowledge) = 0.6

P(have knowledge that Needs Improvement) = 0.25

P(Advanced knowledge) = 1 - (P(Satisfactory knowledge) + P(have knowledge that Needs Improvement))

                                        = 1 - (0.6 + 0.25)

                                        = 0.15

n = 40

Expected value = 40 * 0.15 = 6