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Nina [5.8K]
3 years ago
7

In 2014, 85 percent of households in the United States had a computer. For a randomly selected sample of 200 households in 2014,

let the random variable C represent the number of households in the sample that had a computer. What are the mean and standard deviation of C ?
Mathematics
2 answers:
DochEvi [55]3 years ago
7 0

Answer:

The mean of C is 170 households

The standard deviation of C, is approximately 5 households

Step-by-step explanation:

The given parameters are;

The percentage of households in the United States that had a computer in 2014 = 85%

The size of the randomly selected sample in 2014, n = 200

The random variable representing the number of households that had a computer = C

Therefore, we have;

The probability of a household having a computer P = 85/100 = 0.85

Let

Therefore;

The mean (expected) number in the sample, μₓ, = E(x) = n × P is given as follows;

μₓ = 200 × 0.85 = 170

The mean of C = μₓ = 170

The variance, σ² = n × P × (1 - P) = 200 × 0.85 × (1 - 0.85) = 25.5

Therefore;

The standard deviation, σ = √(σ²) = √(25.5) ≈ 5.05

The standard deviation of C, σ ≈ 5 households (we round (down) to the nearest whole number)

pickupchik [31]3 years ago
5 0

Answer:

The mean is 170 households, and the standard deviation is 5.05 households.

Step-by-step explanation:

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3 years ago
What is the slope of the linear function..........​
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2 years ago
What is the value of the expression 5x2 + 2x when x = 5?
masha68 [24]

Answer:

135

Step-by-step explanation:

Given:

x = 5

To determine a numerical value for the expression, simply substitute the value of "x" into the expression and simplify the expression, if necessary, to determine a specific number for the expression provided.

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Therefore, the value of the expression 5x^{2}  + 2x when x = 5 is 135.

Learn more about this topic: brainly.com/question/27675691

7 0
1 year ago
In a group of 50 people 28% of them has flue shots done. What is the probability to choose from this group 15 people that didn't
aliina [53]

Answer:

0.0025 = 0.25%

Step-by-step explanation:

First we need to find how many people don't have flue shots.

28% of 50 is equal to 0.28 * 50 = 14 people.

If 14 people have flue shots, we have 50 - 14 = 36 people that don't have flue shots.

Now, to solve this problem, the probability will be the cases where  we have a group of people that don't have flue shots (that is, a combination of 36 choose 15) over the total cases (combination of 50 choose 15):

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8 0
3 years ago
I need help with this one as well. I got the last where you plug the number in and solve for y
Kobotan [32]
X=2→F(2)=[(2)^3+3]/[(2)^2-5]
F(2)=(8+3)/(4-5)
F(2)=11/(-1)
F(2)=-11

-2/F(2)=-2/(-11)
-2/F(2)=2/11

Answer: 2/11
4 0
3 years ago
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