The Economic Policy Institute reports that the average entry-level wage for male college graduates is $22.47 per hour and for female college...

The Economic Policy Institute reports that the average entry-level wage for male college graduates is $22.47 per hour and for female college graduates is 19.67 per hour. the standard deviation for male graduates is $3.77 and for female graduates is $2.91. Assume wages are normally distributed.

If 45 male graduates are chosen, find the probability the sample average entry-level wage is at least $21.42.

**round answer to 4 decimals, and carry all decimals till answer.