Given that Michael Jordan had a career free throw average of 0.8 and if Jordan was going to the free throw line 6 times in a game:What is the probability he gets at most 4 baskets?Did I calculate correctly? Thank you. ### Binomial Probability Calculation Example#### Objective:Determining probability using the binomial formula.#### Formula:The binomial probability formula is:\[ P(x) = \binom{n}{x} p^x q^{n-x} \]where - \(\binom{n}{x}\) is the binomial coefficient- \( p \) is the probability of success on a single trial- \( q \) is the probability of failure on a single trial- \( n \) is the number of trials- \( x \) is the number of successesThe binomial coefficient is calculated as: \[ \binom{n}{x} = \frac{n!}{x!(n-x)!} \]#### Example Calculation:Given:- \[ p = 0.8 \] - \[ q = 0.2 \]- \[ n = 6 \]- \[ x = 4 \]First, calculate the binomial coefficient:\[ \binom{6}{4} = \frac{6!}{4!(6-4)!} \]Expanding and simplifying:\[ \binom{6}{4} = \frac{6 \times 5 \times 4 \times 3 \times 2 \times 1}{(4 \times 3 \times 2 \times 1)(2 \times 1)} = \frac{720}{24 \times 2} = \frac{720}{48} = 15 \]Now we substitute back into the binomial formula:\[ P(4) = \binom{6}{4} (0.8)^4 (0.2)^2 \]\[ P(4) = 15 (0.4096) (0.04) \]Multiplying these values:\[ P(4) = 15 \times 0.4096 \times 0.04 = 0.24576 \]So, the probability \( P(4) = 0.24576 \).#### Conclusion:By following these steps, calculations for specific outcomes using the binomial probability formula can be efficiently determined.

Name: Given that Michael Jordan had a career free throw average of 0.8 and i
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: Given that Michael Jordan had a career free throw average of 0.8 and if Jordan was going to the free throw line 6 times in a game:What is the probability he gets at most 4 baskets?Did I calculate correctly? Thank you. ### Binomial Probability Calcula