In a high school basketball game, a player on the home team makes two free throws. One student asks the student next to her what he thinks the probability of hitting two free throws in a row is. The student replies, "The probability of him making a free throw is probably about .6, so hitting two free throws is probably about 1.2." Why can this immediately be dismissed as incorrect? A.
The final number, 1.2, is a fraction, which can never represent a probability.
B.
The probability of making a free throw can never be .6.
C.
The probability of an event happening twice in a row can never be equal.
D.
The final number is greater than 1, which is not a valid probability.

The vice president of programming at nbc is finalizing the prime-time schedule for the fall. she has decided to include a hospital drama but is unsure which of two possibilities to select. she has a pilot called the surgeon and another called critical care. to her make a final decision, a sample of 20 viewers from throughout the united states was asked to watch the two pilots and indicate which show they prefer. the results were that 12 liked the surgeon, 7 liked critical care, and one had no preference. state the decision rule, using the 0.10 significance level. h0: π = 0.50 h1: π ≠ 0.50 1. reject h0 if number of + signs is either < = or > = 2. what is your decision regarding h0? is there a preference for one of the two shows?