The value of the cumulative standardized normal distribution at z is 0.8770. what is the value of z?
2 answers:
The value of is
for the value of the cumulative standardized normal distribution at
is
.
Further explanation:
Given:
The cumulative standardized normal distribution is .
Concept used:
The normal distribution that has mean zero and variance one is called as standard normal distribution.
The random variable X follows standard normal distribution with mean zero and variance one.
\boxed{X \sim N\left( {0,1} \right)}
Then the value of can be obtained as,
Calculation:
The normal distribution is symmetric.
The standard normal distribution is bell shaped curve and it also a symmetric curve.
The cumulative standardized normal distribution is it is area under the curve.
The probability of a number less than value is
.
From the table the approximate value of the
is
.
Kindly refer to the image attached.
Learn more:
1. Learn more about normal distribution brainly.com/question/12698949
2. Learn more about standard normal distribution brainly.com/question/13006989
3. Learn more about confidence interval of mean brainly.com/question/12986589
Answer details:
Grade: College
Subject: Statistics
Chapter: Normal distribution
Keywords: Z-score, Z-value, standard normal distribution, standard deviation, criminologist, test, measure, probability, low score, mean, repeating, indicated, normal distribution, percentile, percentage, undesirable behavior, proportion, empirical rule., cumulative standardized normal distribution.
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Answer:
60 degrees
Step-by-step explanation:
To first solve this problem, we need to figure out the size of an interior angle for a regular hexagon.
This can be done with the formula :
, with n being the number of sides
A hexagon has 6 sides so here is how we would solve for the interior angle:
, with n= 6 sides
Now that we know that each interior angle in the hexagon is 120 degrees, we can now turn our attention to the rhombus.
The opposite angles of the rhombus are congruent, so the two larger obtuse angles are congruent, and so are the two smaller acute angles.
It is also important to note that a rhombus is a quadrilateral, so all of its interior angles add up to 360 degrees.
Looking at the rhombus, we already know one of the angles because it is shared by the interior angle of the hexagon, so the two larger angles in the rhombus are both 120 degrees.
But what about the smaller angles? All we need to do is subtract the two larger angles form 360 and divide by 2 to find the angle.
, so the smaller angle in the rhombus is 60 degrees.
Now that we know both the interior angle and smaller angle of the rhombus, we can find x.
Together, angle x and the angle adjacent to it makes up an interior angle of the hexagon, so x plus that angle is going to equal to 120 degrees.
All we need to do is solve for x:
x = 60 degrees