A survey looked at how long it takes a typical company to recoup an investment in research. The survey determined that 32% of the corporations took six months or less to recoup their investment. The data table below shows a sample of the time, in months, it might have taken 20 corporations to recoup their investment. Complete parts a through c. 8.5 5.5 7.0 7.5 9.0 8.0 7.5 10.0 9.0 8.0D 9.0 3.5 7.5 8.0 4.5 10.5 4.0 11.5 7.5 7.5 <:> a. Determine the number of corporations that recovered their investement in research in six months or less. There were 4 corporations that recovered their investment in research in six months or less. b. Calculate the probability of obtaining at most the number of corporations that you determined in part a if the percent of those recovering their investment is as indicated by the survey. The probability is 0.1827 . (Round to four decimal places as needed.) c. Using the distribution from the previous part, determine the 70th percentile of the number of the 20 corporations that recovered their investment in research in six months or less . (Hint: The 70th percentile corresponds to the value such that 70% of the data is as small or smaller.) The percentile is :|. (Type a whole number.)