Imagine that a collection of 1,200 pea plants from one of Mendel's experiments had 200 that were tall plants with green pods, 400 that were tall with yellow pods, 400 that were short with green pods, and 200 that were short with yellow pods. If the traits tall and green are independent, how many pea plants would you expect to be tall with green pods?

Question

Annabelle Flores

Business

21 March, 02:56

Imagine that a collection of 1,200 pea plants from one of Mendel's experiments had 200 that were tall plants with green pods, 400 that were tall with yellow pods, 400 that were short with green pods, and 200 that were short with yellow pods. If the traits tall and green are independent, how many pea plants would you expect to be tall with green pods?

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Konner Stevens · Answer 1

300 plants

Explanation:

Total tall plants:

= tall plants with green pods + tall with yellow pods

= 200 + 400

= 600

Total green plants:

= 200 + 400

= 600

If the traits tall and green are independent,

P (tall and green):

= P (tall) * P (green)

= (600 : 1,200) * (600 : 1,200)

= 0.5 * 0.5

= 0.25

Expected plants to be green:

= np

= 1,200 * 0.25

= 300 plants