In a class of 150 students, the professor has each person toss a fair coin 50 times and calculate the proportion of times the tosses come up heads. Roughly 95% of students should have proportions between which two numbers?
a. 0.49 and 0.51
b. 0.05 and 0.95
c. 0.42 and 0.58
d. 0.36 and 0.64
e. 0.25 and 0.75
Explain your answer.