1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lerok [7]
3 years ago
15

A basketball player has made​ 70% of his foul shots during the season. If he shoots 3 foul shots in​ tonight's game, what is the

probability that he makes all of the​ shots?
Mathematics
1 answer:
yulyashka [42]3 years ago
7 0

Answer:

There is a 34.3% probability that he makes all of the​ shots.

Step-by-step explanation:

For each foul shot that he takes during the game, there are only two possible outcomes. Either he makes it, or he misses. This means that we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

n = 3, p = 0.7

What is the probability that he makes all of the​ shots?

This is P(X = 3).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{3,3}.(0.7)^{3}.(0.3)^{0} = 0.343

There is a 34.3% probability that he makes all of the​ shots.

You might be interested in
If two lines intersect, then they intersect in exactly one _____ point. line. postulate. plane.
Rom4ik [11]

Answer: the answer is A. point

6 0
3 years ago
Please help<br> Please also explain
schepotkina [342]

Answer: it is equal

Step-by-step explanation: you subtract 15-4 which equals 11. the exponent is the only thing being subtracted since it's a fraction. therefore it equals 10(11)

3 0
2 years ago
A prism is completely filled with 3996 cubes that have edge lengths of 13 in.
irina [24]
The answer is 148, what grade are you in that’s really easy unless you didn’t pay attention. , anyways keep up
4 0
2 years ago
Read 2 more answers
The speeds of vehicles on a highway with speed limit 100 km/h are normally distributed with mean 111 km/h and standard deviation
Vsevolod [243]

Answer:

Liberation Theology  

Step-by-step explanation:

Liberation Theology :

A religious movement particularly among Roman Catholic ministry in Latin America that joins political theory normally of a Marxist direction with a religious philosophy of salvation as freedom from shamefulness

Liberation theology philosophy looks to decipher the activities of the Catholic Church and the lessons of Jesus Christ from the point of view of poor people and burdened.

5 0
3 years ago
An HP laser printer is advertised to print text documents at a speed of 18 ppm (pages per minute). The manufacturer tells you th
aliya0001 [1]

Answer:

0.227 = 22.7% probability that the mean printing speed of the sample is greater than 18.12 ppm.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 17.42 ppm and a standard deviation of 3.25 ppm.

This means that \mu = 17.42, \sigma = 3.25

Sample of 12:

This means that n = 12, s = \frac{3.25}{\sqrt{12}}

Find the probability that the mean printing speed of the sample is greater than 18.12 ppm.

This is 1 subtracted by the p-value of Z when X = 18.12.

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{18.12 - 17.42}{\frac{3.25}{\sqrt{12}}}

Z = 0.75

Z = 0.75 has a pvalue of 0.773.

1 - 0.773 = 0.227

0.227 = 22.7% probability that the mean printing speed of the sample is greater than 18.12 ppm.

4 0
3 years ago
Other questions:
  • What is the solution to 3(x-1) -2(2x +1)= 8(x-1)
    8·1 answer
  • Find the point, M, that divides segment AB into a ratio of 5:2 if A is at (1, 2) and B is at (8, 16).
    12·1 answer
  • A group of friends are going to a cottage for the weekend and you look at the road map to see where it is. The scale used is 1 :
    14·2 answers
  • Find the missing value. Show your work<br> (GEOMETRY, PLEASE HELP!!)
    5·1 answer
  • Find the number in the form x3579x that is divisible by 42.
    7·2 answers
  • g V. (10 points) Suppose that a large tank initially holds 400 gallons of brine, which contains 20 pounds of salt. Pure water is
    11·1 answer
  • 2 Points<br> What is the slope of the line that contains the points (-2, 2) and (3,4)?
    11·1 answer
  • Guided Practice
    13·1 answer
  • HELP PLEASE....I REALLY DONT KNOW WHAT THIS WANTS FROM ME
    7·1 answer
  • Carly bought a new house for $125,000. The value of the house appreciates approximately 3.5% each year. What will be the value o
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!