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expeople1 [14]
3 years ago
14

A sports car manufacturer paints its cars silver, white, black, and red in the following proportions: ?

Mathematics
1 answer:
Alla [95]3 years ago
7 0

Answer:

A. The probability that a randomly selected sports car from this manufacturer will be white with gray upholstery is P=0.12.

B. Assuming that we know the car has tan upholstery, the probability that the car is either silver or white is P=0.50.

Step-by-step explanation:

We first start by stating that the events "exterior color" and "leather color" are independent, so the probability of the outcomes of each event is not affected by the outcomes of the other event.

A. The probability of having a car that is white (W) with gray upholstery (G) is equal to the probability of having a car that is white multiplied by the probability of having a car with gray leather upholstery. Mathematically, this is:

P(\text{W\&G})=P(W)\cdot P(G)=0.3\cdot 0.4=0.12

B. As the events are independent, the probability of having a silver or white car, given that the car has tan upholstery, is the same as the probabiltiy of having a silver or white car:

P(S\,or\,W | T)=P(S\,or\,W)=P(S)+P(W)=0.20+0.30=0.50

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A sample was taken of the salaries of four employees from a large company. the following are their salaries, in thousands of dol
Free_Kalibri [48]

For given sample of salaries of four employees, the variance of their salaries is: 26 thousands of dollars

The formula for the variance is,

S^2=\frac{\sum (x_i - \bar{x})^2}{n-1}

where,

S^2 = sample variance

x_i = the value of the one observation

\bar{x} = the mean value of all observations

n = the number of observations

For given question,

n = 4

First we find the mean of their salaries.

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So, \bar{x}=31

Using the formula for variance ,

S^2=\frac{(33-31)^2}{4-1}+\frac{(31-31)^2}{4-1}+\frac{(24-31)^2}{4-1}+\frac{(36-31)^2}{4-1}\\\\ S^2=\frac{4}{3}  + \frac{0}{3} + \frac{49}{3} + \frac{25}{3} \\\\S^2= \frac{4+49+25}{3}\\\\S^2=\frac{78}{3}  \\\\S^2=26

Therefore, for given sample of salaries of four employees, the variance of their salaries is: 26 thousands of dollars

Learn more about the variance here:

brainly.com/question/13673183

#SPJ4

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