Identify the proper distribution to use and then use it to find the indicated probability.   Note if any of the events could be termed “unusual.” When tall and colorful plants are crossed with short and colorless plants, four types of plants will result: tall and colorful, tall and colorless, short and colorful, and short and colorless with corresponding probabilities:  37, 0.42, 0.11, and 0.10.  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.Distribution type: ________________   Probability: ________________

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Asked Nov 17, 2019
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Identify the proper distribution to use and then use it to find the indicated probability.   Note if any of the events could be termed “unusual.” 

When tall and colorful plants are crossed with short and colorless plants, four types of plants will result: tall and colorful, tall and colorless, short and colorful, and short and colorless with corresponding probabilities:  37, 0.42, 0.11, and 0.10.  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.

Distribution type: ________________   Probability: ________________

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Expert Answer

Step 1

It is given that tall and colourful with probability, 0.37. That is, p1 = 0.37.

 

Tall and colourless with probability, 0.42. That is, p2 = 0.42.

 

Short and colourful with probability, 0.11. That is, p3 = 0.11.

 

Short and colourless with probability, 0.10. That is, p4 = 0.10.

 

For the study, 10 plants are selected to test the probability of occurring different types of plants. Thus, n = 10.

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