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A bag of 27 tulip bulbs contains 11 red tulip​ bulbs, 9 yellow tulip​ bulbs, and...

A bag of 27 tulip bulbs contains 11 red tulip​ bulbs, 9 yellow tulip​ bulbs, and 7

purple tulip bulbs. Suppose two tulip bulbs are randomly selected without replacement from the bag.

​(a) What is the probability that the two randomly selected tulip bulbs are both​ red?

​(b) What is the probability that the first bulb selected is red and the second​ yellow?

​(c) What is the probability that the first bulb selected is yellow and the second​ red?

​(d) What is the probability that one bulb is red and the other​ yellow?

According to an​ airline, flights on a certain route are on time 75​% of the time. Suppose 10 flights are randomly selected and the number of​ on-time flights is recorded.

​(a) Explain why this is a binomial experiment.

​(b) Determine the values of n and p.

​(c) Find and interpret the probability that exactly 6 flights are on time.

​(d) Find and interpret the probability that fewer than 6 flights are on time.

​(e) Find and interpret the probability that at least 6 flights are on time.

​(f) Find and interpret the probability that between 4 and 6 ​flights, inclusive, are on time.


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