2) In creating a video game you program a basketball player to have a 70% chance of making a free throw.

ADesign and conduct a simulation to simulate the number of free throws made in a game if they shoot 6 free throws. Repeat the simulation for a total of 5 times. . Use the following digits:

18974 15864 63856 64877 06156 45468

BHow many free throws do you expect them to make?

Question

11-11-2016
Computers and Technology

Answered

2) In creating a video game you program a basketball player to have a 70% chance of making a free throw.

ADesign and conduct a simulation to simulate the number of free throws made in a game if they shoot 6 free throws. Repeat the simulation for a total of 5 times. . Use the following digits:

18974 15864 63856 64877 06156 45468

BHow many free throws do you expect them to make?

Verified Answer :

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pkmnmushy pkmnmushy · Answer 1 · 2016-11-21T09:52:26-05:00

So for the part a) Let 0-6 stand for a score and 7-9 stand for a miss. This means 7 numbers that mean score and 3 numbers that mean miss, which gives it a 70% chance. Take 6 of the digits for each of the 5 simulations.

189741- 3 scores

586463- 5 scores

856648- 4 scores

770615- 4 scores

645468- 5 scores
Now for the part b. The expected number of free throws is the probability of one free throw it means 70% times the number of free throws. So what we do is 6 * 0.7 = 4.2 so you expect about 4 free throws out of the 6. As in the simulations above, the number of scores were all close to 4.