A group of clinicians are working to develop medication for a rare symptom found in pregnant women with a certain gene. Also, women with the gene and type-O blood are classified as 'high-risk' population. To recruit a subject for the drug test, genetic testing has to be preceded to verify she has the gene. From the previous study, it is found that 24% of the US female population possesses this gene. Moreover, among the women who have the gene, 35% of them have type-O blood.

(a) If they plan to recruit 10 subjects for the drug test, what is the probability that they can fulfill this goal after performing a genetic test for 13 volunteers?

(b) What is the expected number of volunteers they need to test to fulfill their recruitment goal?

(c) It costs $200 per genetic test and an extra $30,000 to run the study. What is the standard deviation of the cost of this medical experiment?

(d) If they change their plan to recruit 10 high-risk subjects (that is, those who have the gene AND type-O blood) only, then what is the expected number of volunteers they need to test to fulfill the recruitment goal? Compute THREE DIGITS AFTER THE DECIMAL POINT.