Answer:
Option B) is a continuous probability distribution
Step-by-step explanation:
Properties of a normal probability distribution:
- The mean, mode and median of the data is same.
- It is a continuous probability distribution.
- The area under the curve is 1.
- The probability that any random variable X at a particular value is zero.
Thus, from the properties of normal distribution, the correct answer is:
Option B) is a continuous probability distribution
If you had a fair coin, the probability of seeing heads is 1/2, meaning you’d see heads 30 times
Answer:
0.42 is closest to the proportion of customer purchase amounts between $14.00 and $16.00
Step-by-step explanation:
Mean = ![\mu = 15.50](https://tex.z-dn.net/?f=%5Cmu%20%3D%2015.50)
Standard deviation = ![\sigma = 1.72](https://tex.z-dn.net/?f=%5Csigma%20%3D%201.72)
We are supposed to find the proportion of customer purchase amounts between $14.00 and $16.00
P(14<x<16)
Formula : ![z=\frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
At x = 14
![z=\frac{14-15.50}{1.72}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B14-15.50%7D%7B1.72%7D)
![z=-0.8720](https://tex.z-dn.net/?f=z%3D-0.8720)
Refer the z table for p value
P(x<14)=0.1922
At x = 16
![z=\frac{16-15.50}{1.72}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B16-15.50%7D%7B1.72%7D)
![z=0.290](https://tex.z-dn.net/?f=z%3D0.290)
Refer the z table for p value
P(x<16)=0.6141
P(14<x<16)=P(x<16)-P(x<14)=0.6141-0.1922=0.42
So, Option C is true
Hence 0.42 is closest to the proportion of customer purchase amounts between $14.00 and $16.00
The answer to this question is:
<span><span>A. The length is 8 inches, and the width is 5 inches.
</span>The scale factor can be found in the question, <em>"</em></span><span><em>the art team made a scale drawing of the top of the box using a scale of 3 inches to 1 inch"</em>. This means the scale drawing should be divided by a scale factor of 3:1 (simplified into 3).
</span>
The scale factor is then divided with the components provided (24 inches in length, 15 inches in width).
(24/3) = 8 inches
(15/3) = 5 inches
Your answer is length = 8 inches, width = 5 inches.