## Related questions with answers

Question

A basketball player has made 80% of his foul shots during the season. Assuming the shots are independent, find the probability that in tonight's game he makes his first basket on one of his first 3 shots.

Solution

VerifiedStep 1

1 of 2The distribution of a variable that measures the number of trials until the first success is a Geometric distribution.

Definition geometric probability:

$P(X=k)=q^{k-1}p$

We also know $p=80\%=0.80$ (make shot) and $q=20\%=0.20$ (miss):

$P(X=1)=q^{k-1}p=0.20^{1-1}(0.80)=0.80$

$P(X=2)=q^{k-1}p=0.20^{2-1}(0.80)=0.16$

$P(X=3)=q^{k-1}p=0.20^{3-1}(0.80)=0.032$

Add the corresponding probabilities:

$P(X\leq 3)=P(X=1)+P(X=2)+P(X=3)=0.80+0.16+0.032= 0.992=99.2\%$

## Create a free account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Create a free account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Recommended textbook solutions

#### Stats: Modeling the World, AP Edition

4th Edition•ISBN: 9780133151541David E. Bock, Paul Velleman, Richard D. De Veaux4,112 solutions

#### The Practice of Statistics for the AP Exam

6th Edition•ISBN: 9781319113339Daren S. Starnes, Josh Tabor2,673 solutions

#### Updated The Practice of Statistics for the AP Exam

6th Edition•ISBN: 9781319269296Daren S. Starnes, Josh Tabor2,577 solutions

#### The Practice of Statistics for the AP Exam

5th Edition•ISBN: 9781464108730 (1 more)Daniel S. Yates, Daren S. Starnes, David Moore, Josh Tabor2,433 solutions

## More related questions

1/4

1/7