superstore and cheap store are two supermarkets that sell boxes of the same type of cereal each supermarket has a special offer

Answer:

(b)E(x)=1.3087

(c)Variance of x =1.7119

(d)E(y)=2.0447

Step-by-step explanation:

The random variable x refers to the average number of cups of coffee consumed daily.

The total number of respondents equals 1014

(a) Probability distribution for x.

(b) Expected value for x

E(x)=1.3087

(c) Variance for x

Variance

(d)

Answer: please see the explanation

Step-by-step breakdown:

Provided data:

5 3 3 1 4 4 5 6 4 2 6 6 6 7 1 1 14 1 2 4 4 4 5 6 3 5 3 4 5 6 8 4 7 6 5 9 11 3 12 4 7 6 5 15 1 1 10 8 9 2 12

The frequency and relative frequency table is available in the attachment below.

b. What is the clustering of the data?

3 to 6

Answer: f(x) = -3x + 4

Step-by-step explanation:

The equation is given as

9x + 3y= 12

This represents a linear equation where x is considered the independent variable. This implies that y is dependent on the value of x, meaning that the y values fluctuate according to the x values. To express the function 9x + 3y= 12, we must rearrange it so that y is isolated on one side of the equation. This leads to

9x + 3y= 12

Beginning by subtracting 9x from both sides,[ [TAG_16]]

9x - 9x + 3y = 12 - 9x

3y = 12 - 9x

Next, dividing both sides of the equation by 3 results in

3y/3 = (12 - 9x)/3

y = -3x + 4

in function notation,

y = f(x) = -3x + 4