A population of values has a normal distribution with a mean of 144.8 and a standard deviation of 4 . A random sample of size 20 is drawn. (a) Find the probability that a single randomly selected value is less than 146.8. Round your answer to four decimal places. P(X<146.8)= (b) Find the probability that a sample of size 20 is randomly selected with a mean less than 146.8. Round your answer to four decimal places. P( Xˉ <146.8)= Question Help: □ Video □ Message instructor Question 13 『 0/2 pts り3 ⇄99 (i) Details SAT scores in one state is normally distributed with a mean of 1401 and a standard deviation of 176. Suppose we randomly pick 48 SAT scores from that state. a) Find the probability that one of the scores in the sample is greater than 1470. P(X>1470)= b) Find the probability that the average of the scores for the sample of 48 scores is greater than 1470. P( Xˉ >1470)= Round each answer to at least 4 decimal places