Question

Explain whether the given random variable has a binomial distribution Sowing seeds Seed Depot advertises that $85\%$of its flower seeds will germinate (grow). Suppose that the company’s claim is true. Judy buys a packet with $20$flower seeds from Seed Depot and plants them in her garden. Let $X=$the number of seeds that germinate

Short answer

The distribution is binomial if the independence of events holds

Step-by-step solution

Given Information

Given that sowing seeds, Seed Depot advertises that $85\%$of its flower seeds will germinate (grow).

Judy buys a packet with $20$flower seeds from Seed Depot and plants them in her garden

Explanation

If each succeeding draw is independent of the previous draw, the variable $X$ is said to have a binomial distribution in the given question. In this example, success means that the seed germinates and a fixed number of $20$ seeds are drawn, with an $85$ percent chance of success.