Without doing any computation, decide which has a higher probability, assuming each sample is from a population that is normally distributed with muequals100 and sigmaequals15. explain your reasoning. (a) p(90less than or equalsx overbarless than or equals110) for a random sample of size nequals10 (b) p(90less than or equalsx overbarless than or equals110) for a random sample of size nequals20 choose the correct answer below. a. p(90less than or equalsx overbarless than or equals110) for a random sample of size nequals20 has a higher probability. as n increases, the standard deviation decreases. b. p(90less than or equalsx overbarless than or equals110) for a random sample of size nequals10 has a higher probability. as n increases, the standard deviation increases. c. p(90less than or equalsx overbarless than or equals110) for a random sample of size nequals20 has a higher probability. as n increases, the standard deviation increases. d. p(90less than or equalsx overbarless than or equals110) for a random sample of size nequals10 has a higher probability. as n increases, the standard deviation decreases.