Question

a scientist is studying tulips and daffodils. the scientist estimates that there are 150 tulips in the population of 600 tulips and daffodils. he chooses flowers from random parts of the garden to study. which best explains how he can choose a random sample of flowers to represent the population? he can choose 50 flowers. he can choose 25 tulips and 25 daffodils. he can choose 15 tulips and 60 daffodils. he can choose 10 tulips and 30 daffodils.

Explanation:

First, find the proportion of tulips in the population: $\frac{150}{600}=\frac{1}{4}$, so the proportion of daffodils is $1 - \frac{1}{4}=\frac{3}{4}$. A random - sample should maintain this proportion. For option D, if we have 10 tulips and 30 daffodils, the proportion of tulips is $\frac{10}{10 + 30}=\frac{10}{40}=\frac{1}{4}$ and the proportion of daffodils is $\frac{30}{10+30}=\frac{30}{40}=\frac{3}{4}$, which matches the population proportion.

Answer:

D. He can choose 10 tulips and 30 daffodils.