Question

At a clinic that treats extreme Phobias, 10 of the patients suffer from Cynophobia (a fear of dogs), 8 have Agoraphobia (fear of open space/ large crowds), 15 have Mysophobia (fear of germs), 7 have more exotic phobias. They schedule 4 patients in the morning.

a. Create a probability distribution for the number of patients scheduled that have Mysophobia(M)

b. What is the mean of the number of patients scheduled that have Mysophobia

c. What is the variance for the number of patients scheduled that have Mysophobia

d. What is the standard deviation for the number of patients scheduled that have Mysophbia

e. Find the following

1) μ-2σ

2) μ+2σ

3) Theoretically, what is the probability that X is between μ-2σ and μ+2σ

4) What is the actual probability that X is between μ-2σ and μ+2σ

Answer 1