Before a new video game is released, it is tested by a number of volunteer gamers. During testing, the experimental probability
2 answers:
Answer:
2000 players will complete the game with a perfect score.
Step-by-step explanation:
The testing phase tells us that is the probability that a person will finish with a perfect score.
This means 1 out of 500 people will be able to finish with perfect score.
Now,
the game is given to 1,000,000 (1 million) people and how much do we expect to finish with perfect score?? Simple! It would be the of 1 million!
We do the calculation shown below:
So, 2000 players will complete the game with a perfect score.
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Answer:
a.
b.
c.
d.
Step-by-step explanation:
The probability that the company won x bids follows a binomial distribution because we have n identical and independent experiments with a probability p of success and (1-p) of fail.
So, the PMF of X is equal to:
Where p is 0.1 and it is the chance of winning. Additionally, n is 3 and it is the number of bids. So the PMF of X is:
For binomial distribution:
Therefore, the company can expect to win 0.3 bids and it is calculated as:
Additionally, the standard deviation of the number of bids won is:
Finally, the probability to won 1, 2 or 3 bids is equal to:
So, the expected profit for the company is equal to:
Because there is a probability of 0.243 to win one bid and it will produce 50,000 of income, there is a probability of 0.027 to win 2 bids and it will produce 100,000 of income and there is a probability of 0.001 to win 3 bids and it will produce 150,000 of income.