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.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Question 21
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
Ox = 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
Ox = the number of randomly selected orange tree sapplings that grow into a healthy and productive
tree
b) Pick the correct symbol: s v = 22
c) Pick the correct symbol: p v= 0.8
d) What is the probability that exactly 18 of them grow into a healthy and productive tree?
Transcribed Image Text:Question 21 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 Ox = 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 Ox = the number of randomly selected orange tree sapplings that grow into a healthy and productive tree b) Pick the correct symbol: s v = 22 c) Pick the correct symbol: p v= 0.8 d) What is the probability that exactly 18 of them grow into a healthy and productive tree?
2 Asses
e) What is the probability that less than 18 of them grow into a healthy and productive tree?
P(x < 18)
.4571
f) What is the probability that more than 18 of them grow into a healthy and productive tree?
P(x > 18) :
g) What is the probability that exactly 20 of them grow into a healthy and productive tree?
P(x = 20)
h) What is the probability that at least 20 of them grow into a healthy and productive tree?
P(x 20) =
i) What is the probability that at most 20 of them grow into a healthy and productive tree
P(x < 20) =
Question Help: D Video 1 D Video 2
Submit All Parts
Transcribed Image Text:2 Asses e) What is the probability that less than 18 of them grow into a healthy and productive tree? P(x < 18) .4571 f) What is the probability that more than 18 of them grow into a healthy and productive tree? P(x > 18) : g) What is the probability that exactly 20 of them grow into a healthy and productive tree? P(x = 20) h) What is the probability that at least 20 of them grow into a healthy and productive tree? P(x 20) = i) What is the probability that at most 20 of them grow into a healthy and productive tree P(x < 20) = Question Help: D Video 1 D Video 2 Submit All Parts
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