If Random Variable X Is Distributed According to a Uniform

Multiple Choice

If random variable X is distributed according to a uniform distribution between 0 and 1 (X ~ U[0,1]) ,and you take a random sample of size 35,what is the probability that the sample mean will fall between 0.48 and 0.55?

A) 0.98
B) 0.92
C) 0.76
D) 0.27
E) 0.07