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. a) Which is the correct wording for the random variable? O x = a randomly selected orange tree sapling Ox = grows into a healthy and productive tree Ox = the number of 22 randomly selected orange tree sapplings that grow into a healthy and productive tree Ox = all orange tree sapplings that grow into a healthy and productive tree O x = the probability that a randomly selected orange tree sapling grows into a healthy and productive tree Ox = a randomly selected orange tree sapling that grows into a healthy and productive tree x = the number of randomly selected orange tree sapplings that grow into a healthy and productive tree b) Pick the correct symbol: ? v = 22 c) Pick the correct symbol: ? = 0.8 d) What is the probability that exactly 18 of them grow into a healthy and productive tree? P(x = 18) = e) What is the probability that less than 18 of them grow into a healthy and productive tree? P(x < 18) =

MATLAB: An Introduction with Applications
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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] \( x = \) 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
- [ ] \( x = \) a randomly selected orange tree sapling that grows into a healthy and productive tree
- [ ] \( x = \) the number of randomly selected orange tree saplings that grow into a healthy and productive tree

b) Pick the correct symbol: \[ ? \] = 22

c) Pick the correct symbol: \[ ? \] = 0.8

d) What is the probability that exactly 18 of them grow into a healthy and productive tree?

\[ P(x = 18) = \] [ ]

e) What is the probability that less than 18 of them grow into a healthy and productive tree?

\[ P(x < 18) = \] [ ]
Transcribed Image Text: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] \( x = \) 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 - [ ] \( x = \) a randomly selected orange tree sapling that grows into a healthy and productive tree - [ ] \( x = \) the number of randomly selected orange tree saplings that grow into a healthy and productive tree b) Pick the correct symbol: \[ ? \] = 22 c) Pick the correct symbol: \[ ? \] = 0.8 d) What is the probability that exactly 18 of them grow into a healthy and productive tree? \[ P(x = 18) = \] [ ] e) What is the probability that less than 18 of them grow into a healthy and productive tree? \[ P(x < 18) = \] [ ]
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