Johnny did a survey and discovered that 5 out of 32 students walk to school. If 3 students are randomly selected from Johnny's school, without replacement, what is the probability that all 3 students walk to school? 1⁄4,960 = 0.06%

1⁄496 = 0.2%

15⁄8,192 = 0.18%

3⁄16,384 = 0.02%

3⁄7,440 = 0.04%

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).