Two professors are applying for grants. professor jane has a probability of 0.67 of being funded. professor joe has probability 0.26 of being funded. since the grants are submitted to two different federal agencies, assume the outcomes for each grant are independent. what is the probability that both professors get their grantsfunded? give your answer to four decimal places.

Aramp rises 4 feet over a distance of 10 feet. what is the length of the ramp?

Aa at 9 a.m. it at 4 p.m. he a of $28.84.?

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?