In a competition, a prize is won every 2018 minutes. Work out an estimate for the number of prizes won in 1 year. You must show
1 answer:
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Answer:
B.
Step-by-step explanation:
Given,
The time for set up the game = minutes,
Also, the time for each level of game is minutes,
If there are l levels of games,
Then the time taken in all levels of game = <em>
</em>
Hence, the total time ( in minutes ) = Set up time + time in all level
=
We have 60-minute of free trial of the game,
So, the total time taken can not be exceed to 60 minutes,
=
Which is the required inequality.
Option 'B' is correct.
Using the hypergeometric distribution, it is found that there is a 0.4286 = 42.86% probability of getting 2 of the same colour.
The marbles are chosen without replacement, hence the <em>hypergeometric </em>distribution is used to solve this question.
<h3>What is the hypergeometric distribution formula?</h3>The formula is:
The parameters are:
- x is the number of successes.
- N is the size of the population.
- n is the size of the sample.
- k is the total number of desired outcomes.
In this problem:
- There is a total of 3 + 4 = 7 marbles, hence N = 7.
- Of those, 3 are blue, hence k = 3.
- 2 marbles will be taken, hence n = 2.
The probability of getting 2 of the same colour is the sum of P(X = 0), which is both red, with P(X = 2), which is both blue, then:
Hence:
0.4286 = 42.86% probability of getting 2 of the same colour.
You can learn more about the hypergeometric distribution at brainly.com/question/4818951