Without doing any computation decide which has a higher probability, assuming each sample is from a population that is normally distributed with=100 a

Without doing any computation decide which has a higher probability, assuming each sample is from a population that is normally distributed with=100 and=15. Explain your reasoning by selecting the correct answer.A. P(90-110) for a random sample of size n=10B. P(90-110) for a random sample of size n=20Answer choicesa. P(90-110) for a random sample of size n=20 has a higher probability. As n increases, the standard deviation Inc. receives.b. P(90-110) for random sample of size n=10 has a higher probability. As n increases, the standard deviation decreases.c. P(90-? 110) for random sample size n =20 has a higher probability. As n increases, the standard deviation decreases.d. P(90-? 110)  for random sample of size n=10 has a higher probability. As n increases, the standard deviation increases.