In: Statistics and Probability
The GenPik pharmaceutical company wishes to test their fertility medication on a large sample of families with 8 children. To analyze their results, they have asked you to calculate the expected probabilities of such an event.
(1) Create a probability distribution listing the outcomes and probabilities for the number of girls expected in 8 births (keep in mind that x will go from 0 to 8).
(2) Calculate the mean, standard deviation, and variance of your probability distribution.
(3) Using your calculated values above, determine the cutoff values for the number of girls in 8 births that would be unusually high and unusually low.
(4) If 23% of families with 8 children who took GenPik’s medication have over 6 girls, is it reasonable to conclude that the medication significantly increases a couple’s chance of having girls? Explain.