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Goryan [66]
2 years ago
12

12.14- How Many Cups of Coffee? Choose an adult age 18 or over in the United States at random and ask, "How many cups of coffee

do you drink on average per day?" Call the response X for short. Based on a large sample survey, here is a probability model for the answer you will get:
Number 0 1 2 3 4 or more


Probability 0.36 0.26 0.19 0.08 0.11



Verify that thisi is valid finite probability model.
Mathematics
1 answer:
asambeis [7]2 years ago
8 0

Answer:

Yes, the given model is a valid finite probability model.

Step-by-step explanation:

We are given the following probability model below;

             Number                        Probability    

                  0                                 0.36

                  1                                  0.26

                  2                                 0.19

                  3                                 0.08

                  4 or more               <u>     0.11      </u>  

                  Total                      <u>       1         </u>  

Now, for any probability distribution to be valid, there are two conditions;

  • All the probability values in the distribution must be positive.
  • Sum of all Probability values must be equal to 1.

Since, in the above model both these conditions are fulfilled, so we can say that this is a valid finite probability model.

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The lengths of a particular snake are approximately normally distributed with a given mean mc025-1.jpg = 15 in. and standard dev
Vedmedyk [2.9K]

Answer:

<em>2.5%</em><em> of the snakes are longer than 16.6 in</em>

Step-by-step explanation:

The Z score is,

Z=\dfrac{X-\mu}{\sigma}

here,

X = raw score = 16.6

μ = mean = 15

σ = standard deviation = 0.8

So,

Z=\dfrac{16.6-15}{0.8}=2

Z-score is the measurement of how many standard deviation away the data is from the mean. Hence, the value 16.6 is 2 standard deviations right to the mean.

Approximately 95% of the data falls within two standard deviations of the mean. (between the mean-2 times the standard deviation, and the mean+2 times the standard deviation)

So the 5% of data are left in the remaining space. As we have to find the amount of snakes which are longer than 16.6 in i.e we have to find the area to the right of 16.6.

The remaining 5% of amount is divided in two equal parts.

Therefore, \dfrac{5}{2}=2.5\% of the snakes are longer than 16.6 in

6 0
2 years ago
Read 2 more answers
Given the system of constraints, name all vertices of the feasible region. Then find the maximum value of the given objective fu
MArishka [77]
Attached the solution and work.

6 0
2 years ago
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Evan went to the park and saw for animals each animal was either a duck or dog if he saw a total of 14 legs how many of each ani
beks73 [17]

Answer:

Two dogs and three ducks

Step-by-step explanation:

Dogs have four legs and ducks have two, to find the answer, you add the number to get your answer.

In this case, two dogs would make a total of 8 legs and three ducks would make a total of 6 legs. Adding 8 and 6 together, you get 14.


7 0
2 years ago
Andrea has a yard shaped like parallelogram ABCD. The garden area, parallelogram EFGB, has an area of 105 ft2004-05-02-04-00_fil
Lynna [10]

The area of a parallelogram is simply calculated using the formula:

A = b * h

Where,

b = length of the base = 45 ft

h = height which is perpendicular to the base = 21 ft

Using the formula, we calculate the total area of the yard.

A = b* h

A = 45 ft * 21 ft

A = 945 ft^2

Now we don’t want to sod the Garden area for the most obvious reason. The garden has an Area of 105 ft^2, we subtract this to the total area giving us,

Area to sod = 945 ft^2 – 105ft^2

<span>Area to sod = 840 ft^2</span>

5 0
2 years ago
Which statements are true for the functions g(x) = x2 and h(x) = –x2 ? Check all that apply.
Andre45 [30]
If x=0 then they have same value

1st and 2nd options are out

for x=-1
g(-1)=1
h(-1)=-1
3rd is true

4th
false

for all values except zero, g(x)>h(x)


correct ones are

g(x) > h(x) for x = -1.
For positive values of x, g(x) > h(x).
For negative values of x, g(x) > h(x).

6 0
2 years ago
Read 2 more answers
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