All categories

4 years ago

Find the area under the standard normal distribution curve between z=0 amd z=1.38

Mathematics

1 answer:

Varvara68 [4.7K]4 years ago

7 0

Answer:

$P(0$

And using the normal standard distribution table or excel we got:

$P(0$

The excel code would be:

"=NORM.DIST(1.38,0,1,TRUE) -=NORM.DIST(0,0,1,TRUE)"

Step-by-step explanation:

For this case we know that our random variable of interest is Z and the distribution is given by:

$Z \sim N(\mu =0 , \sigma =1)$

This distribution is an special case of the normal distribution.

And we want to find this probability:

$P(0$

And we can find this probability with this difference and using the concept of cumulative distribution function for a continuous distribution:

$P(0$

And using the normal standard distribution table or excel we got:

$P(0$

The excel code would be:

"=NORM.DIST(1.38,0,1,TRUE) -=NORM.DIST(0,0,1,TRUE)"

You might be interested in

A real estate agent would like to predict the selling price of a single-family house by predicting the price (in thousands of do

forsale [732]

Answer:

$173493.8

Step-by-step explanation:

Data provided in the question:

LSRL for the data is ? = 3.8785x + 18.3538

Here,

x is area in 100 square feet

and

price in thousands of dollar

Thus,

For the given area 4000 square foot

x = 4000 ÷ 100 = 40 [Area in 100 square feet]

Therefore,

Using the given equation

Price = 3.8785(40) + 18.3538

Price = 173.4938 in thousands of dollar

Price = 173.4938 × $1000

Price = $173493.8

8 0

4 years ago

This makes no sense. Please help

Elena L [17]

Answer:

what type of math is this? i can probably help

Step-by-step explanation:

3 0

3 years ago

A one dollar coin, a two dollar coin and a six sided dice are tossed. how many results are possible?

bonufazy [111]

<span>24. The number of results is simply the product of the number of possibilities for each object tossed. Each coin may lands heads up, or tails up, for 2 possibilities each. And the die may land with 6 possible faces up. So the number of possibilities is 2 * 2 * 6 = 24. So the total number of possible results is 24.</span>

8 0

4 years ago

Read 2 more answers

Hello guys I really need help is anyone available please and ty

zaharov [31]

To find the area of a triangle, you have to multiply the height and the base length, and divide that by two.

In this question, the height is 3 square units and the base length is 4 square units.

Therefore, to find the area, you must multiply 3 by 4, which is 12, and then divide this by 2, which is 6.

So the area of this triangle is 6 square units.

5 0

3 years ago

Let ρ = x3 + xe−x for x ∈ (0, 1), compute the center of mass.

hram777 [196]

The center of mass is mathematically given as

$\bar{x}=\left(\frac{44 e-100}{25 e-40}\right)\end{aligned}$

<h3>What is the center of mass.?</h3>

Determine the center of mass in one dimension:

Represent the masses at the respective distances.

$\begin{|c|c|} Masses \ & \ \ \ \ \ \ \ \ \ \ \ \ \ \ Located at \\\rho=x^{3}+x \cdot e^{-x} & \ \ \ \ x \in(0,1)$ \\\end$

We calculate the total mass of the system.

$\begin{aligned}m &=\int_{0}^{1} \rho \cdot d x \\& m =\int_{0}^{1}\left(x^{3}+x \cdot e^{-x}\right) \cdot d x \\&m =\left|\frac{x^{4}}{4}-(x+1) e^{-x}\right|_{0}^{1} \\&m =\left(\frac{5}{4}-\frac{2}{e}\right)\end{aligned}$

Step 03: Calculate the moment of the system.

$\begin{aligned}M &=\int_{0}^{1}(\rho \cdot x) \cdot d x \\& M=\int_{0}^{1}\left(x^{4}+x^{2} \cdot e^{-x}\right) \cdot d x \\&M =\left|\frac{x^{5}}{5}-\left(x^{2}-2 x+2\right) \cdot e^{-x}\right|_{0}^{1} \\&M=\left(\frac{11}{5}-\frac{5}{e}\right)\end{aligned}$

we calculate the center of mass.

$\begin{aligned}\bar{x} &=\left(\frac{M}{m}\right) \\& \bar{x}=\left\{\left(\frac{\left.11-\frac{5}{5}\right)}{\left(\frac{5}{4}-\frac{2}{e}\right)}\right\}\right.\\& \bar{x}=\left(\frac{11 e-25}{5 e}\right) \cdot\left(\frac{4 e}{5 e-8}\right) \\&\bar{x}=\left(\frac{44 e-100}{25 e-40}\right)\end{aligned}$