Final answer:
Hematopoietic stem cells are multipotent stem cells that give rise to various blood cell types, including red blood cells and various types of white blood cells involved in the immune response.
Step-by-step explanation:
The hematopoietic stem cells are a type of multipotent stem cell that specializes in giving rise to various cells found within the blood. Multipotent stem cells have the capacity to differentiate into multiple cell types within a certain lineage, and in the case of hematopoietic stem cells, these include all the formed elements of blood.
A family of cells that hematopoietic stem cells give rise to includes:
a) Red blood cells (erythrocytes), which are responsible for carrying oxygen throughout the body.
b) White blood cells (leukocytes), including lymphoid stem cells such as various T cells, B cells, and natural killer (NK) cells involved in immunity; and myeloid stem cells that give rise to myeloblast lineage cells such as monocytes and three forms of granular leukocytes (neutrophils, eosinophils, and basophils).
c) Megakaryocytes that produce platelets, crucial for blood clotting.
Therefore, among the provided options, the cells that are part of this family and arise from hematopoietic stem cells are:
a) Red blood cells