Mendel’s Theory According to Mendel’s theory, if tall and

Chapter 5, Problem 6E

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QUESTION:

Mendel's Theory According to Mendel's theory, if tall and colorful plants are crossed with short and colorless plants, the corresponding probabilities are \(\frac{9}{16}, \frac{3}{16}, \frac{3}{16} \text {, and } \frac{1}{16}\) for tall and colorful, tall and colorless, short and colorful, and short and colorless, respectively. If 8 plants are selected, find the probability that 1 will be tall and colorful, 3 will be tall and colorless, 3 will be short and colorful, and 1 will be short and colorless.

Equation Transcription:

Text Transcription:

\frac{9}{16}, \frac{3}{16}, \frac{3}{16} and  \frac{1}{16}

Questions & Answers

QUESTION:

Mendel's Theory According to Mendel's theory, if tall and colorful plants are crossed with short and colorless plants, the corresponding probabilities are \(\frac{9}{16}, \frac{3}{16}, \frac{3}{16} \text {, and } \frac{1}{16}\) for tall and colorful, tall and colorless, short and colorful, and short and colorless, respectively. If 8 plants are selected, find the probability that 1 will be tall and colorful, 3 will be tall and colorless, 3 will be short and colorful, and 1 will be short and colorless.

Equation Transcription:

Text Transcription:

\frac{9}{16}, \frac{3}{16}, \frac{3}{16} and  \frac{1}{16}

ANSWER:

Solution

Step 1 of 2

We have to find the probability of 1 is tall and colourful, 3 is tall and colourless, 3 is short and colourful, 1 is short and colourless, when in a sample of 8 plants

Given that the probability of tall and colourful is 9/16, then

                  The  probability of tall and colourless is 3/16, then

                  The  probability of short and colourful is 3/16, then

                  The  probability of short and colourless is 1/16, then

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