In a national basketball​ association, the top​ free-throw shooters usually have probability of about 0.90 of making any given free throw. Complete parts​ (a) through​ (c).Find the probability that the player made all 11 free throws and the probability that he made 10 free throws.I set this up like this: 11/11x(.90)to the 11th power, x(1-.90)to the 0 power, is that correct?

Question
Asked Jan 2, 2019
59 views

In a national basketball​ association, the top​ free-throw shooters usually have probability of about 0.90 of making any given free throw. Complete parts​ (a) through​ (c).Find the probability that the player made all 11 free throws and the probability that he made 10 free throws.
I set this up like this: 11/11x(.90)to the 11th power, x(1-.90)to the 0 power, is that correct?

check_circle

Expert Answer

Step 1


In this question you are asking to find the probability of 11 free throws and in the next part you are asking the probability of 10 freed throws,

so first you need to indentify whatprobability  distribution it is so this is the question of binomial distribution. 

Let ud understand how to identify it is the question of binomial distribution

1) Each trial has two outcomes, now in this case when the player throws the ball so it will either be free throw or not free throw that means two possible outcomes.

2) The second thing in binomial is that the number of trials are decided in advance and always given in question,

now in this question they made total 11 throws which is given in question, so number of trials are fixed and given in advance

3)The third feature or property of binomail distribuion is that each trial is indepdent 

now in this question you made eleven throws that means you had total 11 trial, now the outcome of first trial nowhere affects the outcome of second trial. same way the outcome of second trial nowhere affects the third  trial and so on. so all the outcomes are independent which we can also say that all the trials are independent.

4) The probabaility of success on each outcome is same that means in this question the probability of free throw is 0.9 and this probability is same for each trial. if you throw firt ball then also you have 0.9 chances of free throw, if you make second throw then also you have 0.9 probability of free throw and so on.

so these are the four properties which lead us to belive that it is the binomial distribution.

so when we have identified that it is binomial distribution so we can use the formula of binomial distribution to find the probability.

Step 2

Formula of binomial distribution is as follows.

Let us see the components of formula

first is n , it means number of trials which is given to be 11 in question

next is p, it stands for probability of success it is given in question to be 0.9

q stands for probability of failure 

q = 1 - p

if p = 0.9

q = 1-0.9 = 0.1

x, it stands for requrired probability in question

in the part where they asked probability of all 11 throws to be free throws so x will be 11

in the next part where they asked probability of 10 free throws so x will be 10

so now we will solve both the parts one by one

fullscreen
Step 3


Probability of making 11 free throws

...
fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Statistics

Related Statistics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: what would be the mean and standard deviation of each chart!! I am having trouble calculating this. ...

A: Calculation: Mean:Before mean:Control: (5 + 1 + 2)/3 = 2.67. [(Before Stephanie + Before Brenda + Be...

question_answer

Q: Select the statistic test that best fits each description. Comparison of mean reading test scores by...

A: Introduction to one-way ANOVA:One-way ANOVA is a statistical method for testing hypotheses regarding...

question_answer

Q: Nearly one half of americans aged 25 to 29 are unmarried.  How large a sample is necessary to estima...

A: The formula for the sample size is as follows:

question_answer

Q: A hospital reported that the normal death rate for patients with extensive burns (more than 40% of s...

A: The provided information are:

question_answer

Q: Let x be per capita income in thousands of dollars. Let y be the number of medical doctors per 10,00...

A: Hi, since the problem posted by you contains multiple sub-parts, we are answering the first three su...

question_answer

Q: Two dice are rolled.  Find the probability of getting A. A sum of 5,6,7 B. Doubles or sum of 6 or 8 ...

A: Sample space for rolling two dice:It is given that two dice are rolled. The number of possible outco...

question_answer

Q: Tamara is a physician who works in a city. She has a discussion with her colleague who believes that...

A: The correct options are: (A) and (C). Explanation:It is provided that the p-value is between 0.005 a...

question_answer

Q: What do you need to look for in bivariate screening (for each categorical and quantative variables)?

A: Solution:Bivariate analysis helps to determine the relationship of two variables. The possible combi...

question_answer

Q: In a standard normal distribution, what is the area under the graph for z>0? Explain.

A: Normal distribution:A random variable X is said to follow a normal distribution if the probability d...