Suppose a miniature golf player sinks a hole-in-one about 12% of the time on any given hole and is going to play 8 games at 18 holes each. part a: design a simulation. (individual work) design and conduct a simulation to estimate the likelihood that the golfer will sink at least two holes-in-one during a single game. be sure to show all work for the five steps of simulation.

The question is the likelihood/probability is for a golfer to sink at least two hole-in-ones during a single game that consists of eighteen holes.

The assumption is that there is a 12% chance of the golf player sinking a hole-in-one.

Each gold shot is independent of the following one.Since 12% is 12/100 or 3/25, I picked three numbers (0, 1, 2) out of numbers from 0 to 24.

I used a random number generator to produce eighteen numbers, from between 0 to 24. I repeated the process eight times for each game.

Data Collected:

Use a random number simulator to get the numbers and then highlight the numbers and present the conclusion.

For example:

Data Collected:

oGame 1: 13, 16, 24,  4,  5, 17, 23, 14, 12, 19, 16,  8,  0,  4,  7, 23,  2,  6

oGame 2: 14,  3,  9, 17,  0, 15,  1,  2,  4,  5,  8,  1,  7,  3, 21, 11, 12,  1

oGame 3:  4, 18,  1, 15, 10,  3,  0,  4, 11, 16,  1, 15, 14,  6,  4, 13, 19,  0

oGame 4: 18,  9,  0,  7, 22,  4,  2,  2,  7,  3,  8, 14, 20,  4, 20, 14, 11, 23

oGame 5:  5,  9, 23,  3, 23,  6,  4,  3, 10, 24,  3, 22, 10, 20,  2, 17, 20,  8

oGame 6: 23, 18, 20,  9, 10, 16,  9, 10, 23, 17, 13,  5,  3, 19, 15, 15, 24, 18

oGame 7: 24, 12,  6, 10, 23, 10, 12, 12, 13, 10, 11, 20,  1, 10, 16,  8, 17, 21

oGame 8: 23, 12, 15, 14, 19,  9, 18,  7, 17,  1, 12, 21, 21, 13, 23,  1,  4,  0

Game 1, Game 2, Game 3, Game 4, and Game 8 have at least two holes in one.

Part B: Apply your findings.

1.What is the probability the golfer got zero or one hole-in-one during a single game?

The probability of that the golfer got 0 or 1 hole-in-one during a single game is 0.375 or 37.5%. This is because the data shows that 3 out 8 games had this condition.

2.What is the probability the golfer got exactly two holes-in-one during a single game?

The probability that the golfer got exactly two hole-in-ones during a single game is 0.125 or 12.5%. This is because the data shows that 1 out 8 games had this condition.

3.What is the probability the golfer got six holes-in-one during a single game?

The probability that the golfer got six holes-in-one during a single game is 0 or 0%. This is because the data shows that 0 out 8 games had this condition.

Obviously your values would change due to the number genertor and the data you plan to use but here is a sample

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0

b and c

step-by-step explanation: