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If an orange tree sapling is planted, it has a 80% chance of growing into a healthy and productive tree. If 22 randomly selected saplings are planted, answer the following. Use technology or the binomial probability table to calculate the following probabilities. Round solutions to four decimal places, if necessary.

If an orange tree sapling is planted, it has a 80% chance of growing into a healthy and productive tree. If 22 randomly selected saplings are planted, answer the following. Use technology or the binomial probability table to calculate the following probabilities. Round solutions to four decimal places, if necessary.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Question 21** If an orange tree sapling is planted, it has an 80% chance of growing into a healthy and productive tree. If 22 randomly selected saplings are planted, answer the following. Use technology or the binomial probability table to calculate the following probabilities. Round solutions to four decimal places, if necessary. a) Which is the correct wording for the random variable? - ⭕ \(x =\) a randomly selected orange tree sapling - ⭕ \(x =\) grows into a healthy and productive tree - ⭕ \(x =\) the number of 22 randomly selected orange tree saplings that grow into a healthy and productive tree - ⭕ \(x =\) all orange tree saplings that grow into a healthy and productive tree - ⭕ \(x =\) the probability that a randomly selected orange tree sapling grows into a healthy and productive tree -
Transcribed Image Text:**Question 21** If an orange tree sapling is planted, it has an 80% chance of growing into a healthy and productive tree. If 22 randomly selected saplings are planted, answer the following. Use technology or the binomial probability table to calculate the following probabilities. Round solutions to four decimal places, if necessary. a) Which is the correct wording for the random variable? - ⭕ \(x =\) a randomly selected orange tree sapling - ⭕ \(x =\) grows into a healthy and productive tree - ⭕ \(x =\) the number of 22 randomly selected orange tree saplings that grow into a healthy and productive tree - ⭕ \(x =\) all orange tree saplings that grow into a healthy and productive tree - ⭕ \(x =\) the probability that a randomly selected orange tree sapling grows into a healthy and productive tree -
### Probability Analysis of Tree Growth This section involves calculating probabilities related to the growth of trees into healthy and productive specimens. Below are the details of each probability scenario: **e) Probability that less than 18 of them grow into a healthy and productive tree** - Formula: \( P(x < 18) \) - Calculated Probability: 0.4571 **f) Probability that more than 18 of them grow into a healthy and productive tree** - Formula: \( P(x > 18) \) - Input required: [ ] **g) Probability that exactly 20 of them grow into a healthy and productive tree** - Formula: \( P(x = 20) \) - Input required: [ ] **h) Probability that at least 20 of them grow into a healthy and productive tree** - Formula: \( P(x \geq 20) \) - Input required: [ ] **i) Probability that at most 20 of them grow into a healthy and productive tree** - Formula: \( P(x \leq 20) \) - Input required: [ ] ### Additional Resources For further assistance, refer to the following video resources: - [Video 1] - [Video 2] Once all inputs are filled, ensure to submit your answers using the "Submit All Parts" button. --- This visualization helps in understanding how probability calculations can determine the growth scenarios of trees in an orchard or similar setting.
Transcribed Image Text:### Probability Analysis of Tree Growth This section involves calculating probabilities related to the growth of trees into healthy and productive specimens. Below are the details of each probability scenario: **e) Probability that less than 18 of them grow into a healthy and productive tree** - Formula: \( P(x < 18) \) - Calculated Probability: 0.4571 **f) Probability that more than 18 of them grow into a healthy and productive tree** - Formula: \( P(x > 18) \) - Input required: [ ] **g) Probability that exactly 20 of them grow into a healthy and productive tree** - Formula: \( P(x = 20) \) - Input required: [ ] **h) Probability that at least 20 of them grow into a healthy and productive tree** - Formula: \( P(x \geq 20) \) - Input required: [ ] **i) Probability that at most 20 of them grow into a healthy and productive tree** - Formula: \( P(x \leq 20) \) - Input required: [ ] ### Additional Resources For further assistance, refer to the following video resources: - [Video 1] - [Video 2] Once all inputs are filled, ensure to submit your answers using the "Submit All Parts" button. --- This visualization helps in understanding how probability calculations can determine the growth scenarios of trees in an orchard or similar setting.
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