Researchers at Manchester Metropolitan University in England determined experimentally that if a piece of toast is dropped from a 2.5 foot high table, the probability that it lands butter side down is 0.81. A) Explain what this probability means.
B) If you dropped 100 pieces of toast, will exactly 81 of them land butter side down? Explain
C) Maria decides to test this probability and drops 10 pieces of toast from a 2.5 foot table. Only 4 of them land butter side down. Should she be surprised? Describe how you would carry out a simulation to answer this question, assuming the probability that the toast lands butter side down is 0.81. Do not perform the simulation.
D) The dot plot displays the results of 50 simulated trials of dropping 10 pieces of toast. Does the simulation suggest that Maria should be surprised? Explain.