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3 years ago

Which statements are true about the standard normal distribution? The standard normal distribution is______.

Mathematics

1 answer:

almond37 [142]3 years ago

6 0

Answer:

A) defined by the two parameters μ = 0, σ =1

(B) symmetric

(D) a density curve.

(E) unimodal

(F) referred to as a bell-curve

Step-by-step explanation:

We have to state the properties of a standard normal distribution.

A) defined by the two parameters μ = 0, σ =1

The standard normal distribution has a mean 0 and standard deviation of 1.

(B) symmetric

The normal distribution is symmetric around the mean that is area under the curve on the left side of mean is same as the area on the right side of mean.

The given statement is false in regard with standard normal distribution.

(D) a density curve.

A density curve is a curve that represents the probability for a distribution and area under the curve is 1. The standard normal distribution is a density curve.

(E) unimodal

The standard normal distribution is unimodal that is it have only one value that occurs most frequently and for standard normal distribution the modal value is 0.

(F) referred to as a bell-curve

The standard normal distribution curve has a shape similar to a bell and referred to as bell-curve.

(G) skewed

The standard normal distribution is not skewed. It is symmetric.

(H) multimodal

The standard normal distribution has a unique mode.

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3 years ago

Read 2 more answers

Marcie bought a total of 20 used books and cds during a yard sale for a total of 54.50$. of books cost 1.50$ each and cds 5$ eac

melomori [17]

Let numbers of books be 'b' and numbers of CDs be 'c'

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Equation [2] ⇒ $1.50b+5c=54.50$

We are solving for the number of books and the number of CDs bought

When we have two equations in terms of two different variables; $b$ and $c$ , that we need to solve, then this becomes a simultaneous equation problem.

First, rearrange Equation [1] to make either $b$ or $c$ the subject:
$b+c=20$
$b=20-c$

Then we substitute $b=20-c$ into Equation [2]
$1.50b+5c=54.50$
$1.50(20-c)+5c=54.50$
$30-1.50c+5c=54.50$
$5c-1.5c=54.50-30$
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Now we know the value of $c$ which is $c=7$ , substitute this value into $b=20-c$ we have $b=20-7=13$

Answer:
Numbers of books = 13
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4 years ago

4.016 as mixed number

vodka [1.7K]

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