If an orange tree sapling is planted, it has a 30% chance of growing into a healthy and productive tree. If 20 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
• x
• = all orange tree sapplings that grow into a healthy and productive tree
• x
• x
• = a randomly selected orange tree sapling
• x
• x
• = grows into a healthy and productive tree
• x
• x
• = the number of randomly selected orange tree sapplings that grow into a healthy and productive tree
• x
• x
• = the number of 20 randomly selected orange tree sapplings that grow into a healthy and productive tree
• x
• x
• = the probability that a randomly selected orange tree sapling grows into a healthy and productive tree
• x
• x
• = a randomly selected orange tree sapling that grows into a healthy and productive tree

b) Pick the correct symbol:?

p

N

s

X

X

n

= 20

c) Pick the correct symbol:?

n

N

X

s

p

X

= 0.3

d) What is the probability that exactly 5 of them grow into a healthy and productive tree?P

(

x

=

5

)

=

P(x=5)=

e) What is the probability that less than 5 of them grow into a healthy and productive tree?

P

(

x

<

5

)

=

P(x<5)=

f) What is the probability that more than 5 of them grow into a healthy and productive tree?

P

(

x

>

5

)

=

P(x>5)=

g) What is the probability that exactly 6 of them grow into a healthy and productive tree?

P

(

x

=

6

)

=

P(x=6)=

h) What is the probability that at least 6 of them grow into a healthy and productive tree?

P

(

x

6

)

=

P(x6)=

i) What is the probability that at most 6 of them grow into a healthy and productive tree

P

(

x

6

)

=

P(x6)=