Question

Score: 0 of 1 pt 13 of 13 (6 complete) HW JCUIe. O0.I Question Help 4.2.33 According to a theory in genetics, if tall and colorful plants are crossed with short and colorless plants, four types of plants will result: tall and colorful, tall and colorless, 3 3 1 In a multinomial experiment, if 10 plants 16 selected, find the short and colorful, and short and coloriess, with corresponding probabilities of and are 16 16 16 probability that 3 will be tall and colorful, 3 will be tall and colorless, 2 will be short and colorful, and 2 will be short and colorless. Click the icon to view more information about a multinomial experiment The probability is (Round to three decimal places as needed.) ces

Answer 1

Ans:

Given that

For a multi-nomial experiment:

p₁=9/16,p₂=3/16,p₃=3/16,p₄=1/16

P(x₁=3,x₂=3,x₃=2, x₄=2)

=(10!/3! 3! 2! 2!)*(9/16)^3*(3/16)^3*(3/16)^2*(1/16)^2

=0.004