Question

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: ________________

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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