Answer:
College students' annual earnings is betweeen $2,514.33 and $3,907.67
Step-by-step explanation:
Hi, first, let´s introduce the formula that we need to use in order to find out the lower and higher limit of the interval.
Now, the only problem here is to find Z(alpha/2), so, let´s define that. Alpha is the remeining area of the normal distribution curve that is out of the limit, in other words, in this case, we need the 98% confidence interval, that means that 2% of the probs are going to be out of the range, therefore, this 2% is alpha. Since we need that the same area is removed from the left and right side of the uniform distribution curve, we need to find the value of Z in the uniform curve distribution table for 1% (that is 2%/2) and due to symmetry, we can now find the values of the interval (this means that we need the value of Z for 0.99, that is 2.33). Now, let´s find out the lower and higher limit of this interval.
So, the college students´annual earnings are between $2,514.33 and $3,907.67 with 98% of confidence.
Answer:
Step-by-step explanation:
<u>Fundamental Theorem of Calculus</u>
If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a <u>constant of integration</u>.
<u>Given integral</u>:
Factor the denominator:
Use <u>Integration by Substitution</u>:
Therefore:
Learn more about integration here:
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In the observation of Rachel the experimental probability of the next car which comes in is red is 5/12 and the experimental probability of the next car which comes in is not red is 7/12.
<h3>What is experimental probability?</h3>
Experimental probability of an event is the ratio of number of favorable outcome which appeared while conducting an event to the total number of outcome of that event is occurred.
Rachel found that 20 out of 48 cars that entered a parking lot were red. In this observation, the probability of a car to be red is,
Thus, the experimental probability that the next car that comes in is red is 5/12.
The experimental probability that the next car that comes in is not red is,
Hence, In the observation of Rachel, the experimental probability of the next car which comes in is red is 5/12 and the experimental probability of the next car which comes in is not red is 7/12.
Learn more about the experimental probability here;
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(4x² + 2y)(3x + y²<span>) =
12x</span>³ + 4x²y² + 6xy + 2y³
<span>The coefficient of xy is 6</span>