A bag of 100 tulip bulbs purchased from a nursery contains 30 red tulip bulbs, 25 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 0.3 . (Type an integer or a decimal. Do not round.) (b) The probability that a randomly selected tulip bulb is purple is 0.45 . 1 (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 about $$ \square $$ of the bulbs to be red and about $$ \square $$ of the bulbs to be purple. B. If 100 tulip bulbs were sampled with replacement, one would expect exactly $$ \square $$ of the bulbs to be red and exactly $$ \square $$ of the bulbs to be purple.

Question

UpStudy AI · Accepted Answer

**(a)** We have 30 red tulip bulbs out of 100 total, so the probability is  
$$
\frac{30}{100} = 0.3.
$$

**(b)** We have 45 purple tulip bulbs out of 100 total, so the probability is  
$$
\frac{45}{100} = 0.45.
$$

**(c)** When sampling 100 tulip bulbs with replacement, the expected number of red bulbs is  
$$
0.3 \times 100 = 30,
$$  
and the expected number of purple bulbs is  
$$
0.45 \times 100 = 45.
$$  
Since these are expected (average) numbers and not guaranteed exact counts, we select:

**A.** If 100 tulip bulbs were sampled with replacement, one would expect about $$30$$ of the bulbs to be red and about $$45$$ of the bulbs to be purple.
**(a)** The probability of selecting a red tulip bulb is 0.3. **(b)** The probability of selecting a purple tulip bulb is 0.45. **(c)** If 100 tulip bulbs are sampled with replacement, one would expect about 30 to be red and about 45 to be purple.

Upstudy AI Solution

Answer

Solution

Beyond the Answer

Related Questions

Latest Probability Questions