According to a recent study, 38% of all women will suffer a hip fracture because of osteoporosis by the age of 85. If six women aged 85 are randomly...

According to a recent study, 38% of all women will suffer a hip fracture because of osteoporosis by the age of 85. If six women aged 85 are randomly selected, what is the probability that:

a. None of them will suffer (or has suffered) a hip fracture due to osteoporosis?

b. At least four of them will suffer (or have suffered) a hip fracture due to osteoporosis?

c. Fewer than two of them will suffer (or have suffered) a hip fracture due to osteoporosis?