The results of a survey asking 500 people about their favorite ice cream flavor are shown in the table. Flavor Number of People Chocolate 165 Vanilla 135 Strawberry 70 Mint Chip 100 Banana 30 Assuming that there is no real preference between these 5 flavors, for which of these flavors does the experimental probability differ the most from the theoretical probability?

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).

Need solving this 2nd limit problem.

In the diagram, bc¯¯¯¯¯∥de¯¯¯¯¯ . what is ce ? enter your answer in the box.