a.
To find: The probability that you do not make any of the free throws.
The probability of throws none of the free throws is 0.001.
Given:
You make 90% of the free throws.
Total attempted throws are 3.
Concept used:
Suppose in
Calculation:
The given experiment is a binomial experiment with
Now,
Hence, the probability of throws none of the free throws is 0.001.
b.
To find: The probability that you make one of the free throws.
The probability of throwing one of the free throws is 0.027.
Given:
You make 90% of the free throws.
Total attempted throws are 3.
Concept used:
Suppose in
Calculation:
The given experiment is a binomial experiment with
Now,
Hence, the probability of throwing one of the free throws is 0.027.
c.
To find: The probability that you make two of the free throws.
The probability of throwing two of the free throws is 0.243.
Given:
You make 90% of the free throws.
Total attempted throws are 3.
Concept used:
Suppose in
Calculation:
The given experiment is a binomial experiment with
Now,
Hence, the probability of throwing two of the free throws is 0.243.
d.
To find: The probability that you make all of the free throws.
The probability of throwing all of the free throws is 0.729.
Given:
You make 90% of the free throws.
Total attempted throws are 3.
Concept used:
Suppose in
Calculation:
The given experiment is a binomial experiment with
Now,
Hence, the probability of throwing all of the free throws is 0.729.
Chapter 11 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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