A normal distribution has a mean of 142 and a standard deviation of 16. What is the probability that a randomly selected value lies between 142 and 174? A) 0.22 B) 0.34 C) 0.48 D) 0.54

Verified Answer :

\(\mathbb P(142

Approximately 95% of any normal distribution lies within two standard deviations of the mean, i.e. \(\mathbb P(-2. Because the distribution is symmetric, you have \(\mathbb P(-2, so \(\mathbb P(0.