Multinomial Experiments In Exercise, use the information

Chapter 4, Problem 34EC

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QUESTION:

Another proposed theory in genetics gives the corresponding probabilities for the four types of plants described in Exercise 33 as \(\frac{5}{16},\frac{4}{16},\frac{1}{16}\) and \(\frac{6}{16}\). Ten plants are selected. Find the probability that 5 will be tall and colorful, 2 will be tall and colorless, 2 will be short and colorful, and 1 will be short and colorless.

Equation Transcription:

Text Transcription:

frac{5}{16},frac{4}{16},frac{1}{16}

frac{6}{16}

Questions & Answers

QUESTION:

Another proposed theory in genetics gives the corresponding probabilities for the four types of plants described in Exercise 33 as \(\frac{5}{16},\frac{4}{16},\frac{1}{16}\) and \(\frac{6}{16}\). Ten plants are selected. Find the probability that 5 will be tall and colorful, 2 will be tall and colorless, 2 will be short and colorful, and 1 will be short and colorless.

Equation Transcription:

Text Transcription:

frac{5}{16},frac{4}{16},frac{1}{16}

frac{6}{16}

ANSWER:

Solution :

Step 1 of 1:

Our goal is:

We need to find the probability that 5 will be tall and colorful, 2 will be tall and colorless, 2 will be short and colorful, and 1 will be short and colorless.

Given 10 plants are selected.

So, n=10.

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