The probability that a randomly selected score is greater than 334 will be 0.02275.
<h3>What is a normal distribution?</h3>
The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The GRE is an entrance exam that many students are required to take in order to apply to graduate school. In 2014, the combined scores for the Verbal and Quantitative sections were approximately normally distributed with a mean of 310 and a standard deviation of 12.
Then the probability that a randomly selected score is greater than 334 will be
The z-score is given as
z = (x - μ)/σ
z = (334 - 310)/12
z = 24/12
z = 2
Then the probability will be
P(x > 334) = P(z > 2)
P(x > 334) = 1 - P(x<334)
P(x > 334) = 1 - 0.97725
P(x > 334) = 0.02275
More about the normal distribution link is given below.
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Answer:
Step-by-step explanation:
Divide (1/2)b on both sides of the equation.
Multiply b on both sides.
Divide both sides by b.
Answer:
y = − 8
Step-by-step explanation:
The greatest number of students to whom 24 pens and 32 pencils can be equally divided is 8.
<u>Step-by-step explanation:</u>
We have to find the greatest number of students to whom 24 pens and 32 pencils can be equally divided. Let's calculate ratio of pens to pencils and then we will simplify , or we can find find HCF( Highest common factor) of pen & pencils and HCF will be the maximum number of students whom equally pens & pencils will be distributed. Ratio:
⇒
⇒
⇒
So ,
⇒
⇒
⇒
⇒
Therefore, the greatest number of students to whom 24 pens and 32 pencils can be equally divided is 8.