In: Statistics and Probability
sickle cell anemia is a hereditary medical condition affecting red blood cells that are thought to protect against malaria, a debilitating parasitic infection of the liver and blood. that would explain why the sickle cell traits found in people who originally came from Africa, where malaria is widespread, a study in Africa tested 543 children for the sickle cell also for malaria infection in all 25% of the children had sickle cell and 6.6% of the children had both sickle cell and malaria. overall 34.6% of the children had malaria
Make a Venn diagram with the information provided. use it to answer the following questions
a) what is the probability that a child has either malaria or sickle cell?
b) what is the probability that a child has neither malaria or sickle cell, round to 3 decimal places
c) what is the probability that a child has malaria given that the child has the sickle cell trait
d) what is the probability that a child has malaria given that child does not have the sickle cell trait
e) Are the events sickle cell trait and malaria independent? what might that tell you about the relationship between sickle cell and malaria