Laura has a 5-digit combination lock on her briefcase and has forgotten the combination. If she knows that the first digit is a 3, and the second digit is prime, how many numbers must Laura try before the lock is sure to open? (Note neither 0 or 1 is
prime.)

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e.g. 98.76543).