Daily sales of theatre tickets at your cinema depend on the weather. probability sales Warm .50 $800 Cold .20 $1200 Rainy .20 $1600 Snowy .10 $1000 a. Calculate the expected daily sales. b. Calculate the variance of daily sales. c. Calculate the standard deviation of daily sales.

1060 ; 96400 ; 310.48

Step-by-step explanation:

Given that:

P(X): __0.50 ___0.20 0.20 0.10

X : ___800 ___ 1200 1600 1000

The expected sales (m) : Σ(p * p(x))

(0.50 * 800) + (0.20 * 1200) + (0.20 * 1600) + ( 0.10 * 1000) = 1060

B.) variance (Var X) :

Σx²p - m²

(800^2*0.50) + (1200^2 * 0.20) + (1600^2 * 0.20) + (1000^2 * 0.10)] - m²

1220000 - 1060^2

= 96,400

Standard deviation = √variance

= √96400

= 310.48

f(x) is the value of the function. b is the value of the function when x equals zero or the y-coordinate of the point where the line crosses the y-axis in the coordinate plane.

step-by-step explanation:

hope this !

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5