3/4= 0.75; 5/8= 0.63
0.75 - 0.63= 0.12 or 1/8
Answer:
The expectation is -$0.2632
Step-by-step explanation:
Consider the provided information.
The total number of balls are: 18 red + 18 black + 2 green = 38
If the ball lands on a red number, the player wins the amount of his bet.
The bat is ball will land on a red number.
The favorable outcomes are 18/38 and unfavorable are 20/38.
Let S be possible numerical outcomes of an experiment and P(S) be the probability.
The expectation can be calculated as:
E(x) = sum of S × P(S)
For 
For 
(negative sign represents the loss)
Now, use the above formula.
Hence, the expectation is -$0.2632
The number of books that can be shelved is 45. So then we know that the amount that need to be shelved <em>can</em> be 45, if the bookshelf had 0 books on it. This means that it can have the equal part of the inequality sign.
However, the amount of book that need to be shelved cannot <em>exceed</em> 45, so b must be less than 45.
Therefore, the answer must be D) b ≤ 45.
If scores on an exam follow an approximately normal distribution with a mean of 76.4 and a standard deviation of 6.1 points, then the minimum score you would need to be in the top 2% is equal to 88.929.
A problem of this type in mathematics can be characterized as a normal distribution problem. We can use the z-score to solve it by using the formula;
Z = x - μ / σ
In this formula the standard score is represented by Z, the observed value is represented by x, the mean is represented by μ, and the standard deviation is represented by σ.
The p-value can be used to determine the z-score with the help of a standard table.
As we have to find the minimum score to be in the top 2%, p-value = 0.02
The z-score that is found to correspond with this p-value of 0.02 in the standard table is 2.054
Therefore,
2.054 = x - 76.4 ÷ 6.1
2.054 × 6.1 = x - 76.4
12.529 = x - 76.4
12.529 + 76.4 = x
x = 88.929
Hence 88.929 is calculated to be the lowest score required to be in the top 2%.
To learn more about normal distribution, click here:
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Answer=0.3
1/10 of 3.0 is 0.3
3.0*(1/10)=0.3
