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Madeline found that the experimental probability of her scoring from a
three-point line in a basketball game is 1/10 or 10%. Out of 20 shots from a
three-point line, about how many points could she predict she would make?

pls help

Respuesta :

Answer:

6 points

Step-by-step explanation:

  1. 1/10=x/20
  2. cross multiply the x with the 10 and the 20 with the 1 so that you are now left with the fraction 10x/20
  3. 10x divided by 20 will give you x=2
  4. to check and make sure this is still equivalent with the 10% of shots Madeline makes divide 2/20
  5. Since this is still 10 percent Madeline makes 2 out of every 20 shots
  6. Multiply those 2 shots by three points since it was from the three point line and we get 6 points

Hope that helps :)

Using the binomial distribution, it is found that she would be expected to make 6 points.

For each shot, there are only two possible outcomes, either she makes it, or she misses it. The probability of making a shot is independent of any other shot, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability, which has expected value given by:

[tex]E(X) = np[/tex]

In this problem:

  • She takes 20 shots, hence [tex]n = 20[/tex].
  • She has a 10% probability of making each shot, hence [tex]p = 0.1[/tex]

The expected number of shots she makes is given by:

[tex]E(X) = np = 20(0.1) = 2[/tex]

Since each shot from the three-point line is worth 3 points, she is expected to make 2 x 3 = 6 points.

A similar problem is given at https://brainly.com/question/24261244

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