Without doing any computation, decide which has a higher probability, assuming each sample is from a population that is normally distributed with mean=100 and sigma=15. expalin your reasoning. a) p(90? x(bar)? 110) for a random of size n=10.b) p(90? x(bar)? 110) for a random sample of size n=20.correct a) (90? x(bar)? 110) for a random sample of size n=20 has a higher probability. as n increases, the standard deviation decreased. b) (90? x(bar)? 110) for a random sample of size n=10 has a higher probability. as n increases, the standard deviation decreased. c) (90? x(bar)? 110) for a random sample of size n=20 has a higher probability. as n increases, the standard deviation increases. d) (90? x(bar)? 110) for a random sample of size n=10 has a higher probability. as n increases, the standard deviation increases.