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miskamm [114]
3 years ago
6

Which of the following best describes one way the Clean Air Act helped reduce air pollution?

Advanced Placement (AP)
1 answer:
mariarad [96]3 years ago
5 0

Answer:B

Explanation:

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AP STATISTIC
Svet_ta [14]

The mean for the total cost of the two items is 82. The standard deviation of the total cost of the two items is 14.14214. The probability of finding two random items at this auction with a total price of less than $80 is 0.44377.

<h3>What is a random variable?</h3>

A random variable is a variable with an undetermined value that gives values to each of the results of a statistical experiment.

From the parameters given:

  • Let us assume that X represents the random variable that connotes the price of the item during the large auction.

Given that:

  • X is normally distributed with a mean of $41 and
  • A standard deviation of $10

X \sim N(μ, σ²)

X \sim N(41, 10²)

Suppose we made an assumption that Y should denote the total cost of items:

i.e.

Y = X₁ + X₂

Here;

\mathbf{X_i \sim N(41, 10^2)} \\ \\ \mathbf{E(Y) = E(X_1+X_2) } \\ \\ \mathbf{E(Y) = 41 + 41 } \\ \\  \mathbf{E(Y) = 82}

The variance of (Y) is:

\mathbf{Var (Y) = Var(X_1+X_2) = Var (X_1) + Var(X_2) } \\ \\\mathbf{= 10^2+ 10^2} \\ \\ \mathbf{=200}

\mathbf{Standard \ deviation \ SD (Y) = \sqrt{200} }

= 14.14214

The probability of finding the two random items at the auction with a total price of less than $80 can be computed as:

P(Y < 80)  

Since the data is normally distributed,

\mathbf{=P\Big(Z < \dfrac{x -\mu}{\sigma}\Big)}

\mathbf{=P\Big(Z < \dfrac{80 -82}{14.14214}\Big)}

\mathbf{=P\Big(Z < -0.1414213\Big)}

Recall that:

P(Z < -z) = P(Z > z)

Hence;

= P (Z  > 0.1414213)

= 1 - P(Z ≤  0.1414213)

From the Z tables, the value of Z at 0.1414213 is 0.55623;

=  1 -  0.55623

= 0.44377

Therefore, we can conclude that the probability of finding two random items at this auction with a total price of less than $80 is 0.44377.

Learn more about random variables in probability here:

brainly.com/question/15246027

7 0
2 years ago
An earthquake causes part of a mountainside to fall away, leaving bare rock. In the years immediately following the landslide, t
zvonat [6]

Answer:

primary succession

Explanation:

8 0
3 years ago
In the group of jobs below which Does not belong ?
Mariulka [41]
It is driver because all of the other jobs include people at desk
6 0
3 years ago
Explain the relationship between the following pairs of terms
Marysya12 [62]
Scarcity-fundamental economic problem facing all societies that results from a combination of scarce resources and people's virtually unlimited wants

5 0
3 years ago
Question below: (thanks!)
wel

Answer:

Frequency of SS dominant individuals is 0.57

Explanation:

The total population of rabbit is 650

Out of 650 rabbit, nearly 39 have recessive allele "s".

Hence, frequency of recessive genotype = \frac{39}{650} = 0.06

Frequency of recessive allele = \sqrt{0.06}

q = \sqrt{0.06} = 0.245

Frequency of dominant trait allele "S" p = 1-q = 1-0.245 = 0.755

Frequency of SS dominant individuals is p^{2} = 0.755^2 = 0.57

5 0
3 years ago
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