Question

  

17. A bag of 100 tulip bulbs purchased from a nursery contains 25 red tulip bulbs, 30 yellow tulip bulbs, and 45 purple tulip bulbs.

(a) What is the probability that a randomly selected tulip bulb is red?

(b) What is the probability that a randomly selected tulip bulb is purple?

(c) Interpret these two probabilities.(a) The probability that a randomly selected tulip is red is . (Type an integer or a decimal. Do not round.)

(b) The probability that a randomly selected tulip bulb is purple is . (Type an integer or a decimal. Do not round.)

(c) Select the correct choice below and fill in the answer boxes within your choice. (Type whole numbers.)

A. If 100 tulip bulbs were sampled with replacement, one would expect exactly of the bulbs to be red and exactly of the bulbs to be purple.

B. If 100 tulip bulbs were sampled with replacement, one would expect about of the bulbs to be red and about of the bulbs to be purple.****Please note [b -e ] requires two answers

31. 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) Find and interpret the probability that exactly 6 flights are on time.

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

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

(e) Find and interpret the probability that between 4 and 6 flights, inclusive, are on time.(a) Identify the statements that explain why this is a binomial experiment. Select all that apply.

A. The experiment is performed a fixed number of times.

B. Each trial depends on the previous trial.

C. The experiment is performed until a desired number of successes is reached.

D. There are two mutually exclusive outcomes, success or failure.

E. There are three mutually exclusive possibly outcomes, arriving on-time, arriving early, and arriving late.

F. The probability of success is the same for each trial of the experiment.

G. The trials are independent.(b) The probability that exactly 6 flights are on time is . (Round to four decimal places as needed.)

Interpret the probability.In 100 trials of this experiment, it is expected about to result in exactly 6 flights being on time. (Round to the nearest whole number as needed.)

(c) The probability that fewer than 6 flights are on time is . (Round to four decimal places as needed.)

Interpret the probability.In 100 trials of this experiment, it is expected about to result in fewer than 6 flights being on time. (Round to the nearest whole number as needed.)

(d) The probability that at least 6 flights are on time is . (Round to four decimal places as needed.)

Interpret the probability.In 100 trials of this experiment, it is expected about to result in at least 6 flights being on time. (Round to the nearest whole number as needed.)

(e) The probability that between 4 and 6 flights, inclusive, are on time is . (Round to four decimal places as needed.)

Interpret the probability.In 100 trials of this experiment, it is expected about to result in between 4 and 6 flights, inclusive, being on time. (Round to the nearest whole number as needed.)