Gladys scored 42 points in a basketball game. She only took 2-point shots and 3-point shots. She made a total of 18 shots. Write
1 answer:
Answer:
Number of 2-point shots taken = 12
Number of 3-point shots taken = 6
Step-by-step explanation:
Total number of points scored by Gladys = 42
Only 2-point and 3-point shots are taken by Gladys.
Let number of 2-point shots taken =
Let number of 3-point shots taken =
Total number of shots taken = 18
Therefore, first equation can be written as:
Total points scored = 42
Therefore, second equation can be written as:
System of equations is:
Using elimination method to solve the system of equations.
Multiplying equation by 2 then subtracting it from equation (2):
By equation (1):
Therefore, Number of 2-point shots taken = 12
Number of 3-point shots taken = 6
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is the probability of success. It can be approximated by the Normal distribution with the mean of
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if the following condition is met:
2. Poisson distribution: Let the sampling distribution be the Poisson distribution where
is its mean. It can be approximated by the Normal distribution with the mean
and the variance
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when
is large enough, say
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but the greater it is, the better the approximation).