The answer to these questions are
- Option A: This is in the attachment
- Option B : 24 and 54
- Option C: 97.59%
- Option D: 84.13%
How to find the point where the distribution lies at 99.7%. The data is 3 sd from mean
Hence
39 - 3*(5) = 24
39 + 3*(5) = 54
The widget lies between 24 and 54
c. P(29.0 < x < 54.0)
= 29 - 39 / 5 and 54 - 39 / 5
= -2.0 and 3.0
We have to find P(Z < 3.0) - P(Z < -2.0)
= 0.9987 - 0.0228
= 97.59%
d. x = 44
= 44 - 39/ 5
= 1
We are to find P(z < 1.0) = 84.13%
Read more on standard deviation here: brainly.com/question/475676
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For any continuous probability distribution, the total area under the curve indicating the probability density function must be 1.

is saying that the area to the left of

is 0.75. This area is also that of a rectangle.
The height of this rectangle is 0.25, and

, which means the width is 3. Since 4 - 1 = 3, it must be that

.
Answer:
q≤-26
Step-by-step explanation:
7.85+q≤-18.15
-7.85 -7.85
q≤-26
The answers to the questions
3 3/6 is equal to 21/6
1 2/3 is equal to 5/3
Both 3 and 6 go into 6 so the denominator is 6
Now multiply 5 by 2 because 3 goes into 6 twice.
10/6
You don't need to change 21/6 because the denominator is already 6
So now you need to add them
21/6+ 10/6= 31/6
Which is also 5 1/6
So the overall answer is 5 1/6