Question

HW4 Binomial Random Variables: Problem 2 Previous Problem Problem List Next Problem ( 1 pont) BlueSky Air has the best on-time arrival rate with 80% of its nights aniving on time A test is conducted by randomly selecting 16 Bluesky Air flights and observing whether they arrive on time What is the probability that 2 fights of BlueSky Air arrive late? (Please carry answers to at least six decimal places in intermediate steps. Give your final answer to the nearest three decimal places) Probability (as a proportion)

Answer 1

answer:

• The rates of on-time flights for business planes are constantly followed by the U.S. Branch of Transportation.
• As of late, Blue Sky Air had the best rate with 80% of its flights landing on time. A test is directed by arbitrarily choosing 16 Blue Sky flights and seeing whether they touch base on time.
• To find the likelihood that precisely 2 flights arrive late Exactly 2 is spoken to by

$\Rightarrow$(16!)/((14!)(2!)) * (.8)^14 * (.2)^2

$\Rightarrow$120* (.8)^14 * (.2)^2

$\Rightarrow$ 0.211 or 21.1 %

$\Rightarrow$ there fore 21.10

• so finally the probability is

21.10