According to an airline, flights on a certain route are on time 85% of the time. Suppose 20 flights are randomly selected and the number of on-time flights are recorded. A.) explain why this is a binomial experiment.
B.) fine and interpret the probability that exactly 13 flights are on time.
C.) find and interpret the probability that fewer than 13 flights are on time.
D.) find and interpret the probability that at least 13 flights are on time.
E.) find and interpret the probability that between 11 and 13 flights, inclusive, are on time.

The probability that exactly 13 flights are on time is

(Round to four decimal places as needed.)

Please answer fast please please

Nthe opening scene of the movie raiders of the lost ark, indiana jones replaces a golden statue with a bag of sand. the platform on which the statue is placed is designed to detect the mass of the statue. if the bag of sand has a different mass than the statue, then a mechanism triggers and destruction ensues. the density of gold is about 20\text{ g/cm}^320 g/cm 3 20, space, g, slash, c, m, start superscript, 3, end superscript. the density of sand can be estimated at 2.5\text{ g/cm}^32.5 g/cm 3 2, point, 5, space, g, slash, c, m, start superscript, 3, end superscript. the gold statue can be modeled as a cylinder with height 25\text{ cm}25 cm25, space, c, m and radius 8\text{ cm}8 cm8, space, c, m. in terms of \piπpi, what is the mass of sand indiana jones needs to avoid triggering the mechanism?