Hello. Please someone respond and help me with my math homework as soon as possible please

Question

Question 1: Identify the variance and the standard deviation of the given data set.

{7, 8, 6, 3, 4, 12, 14, 10}

 

A.) variance: 12.75

standard deviation: 12.75

 

B.) variance: 7.2

standard deviation: 3.57

 

C.) variance: 12.75

standard deviation: 3.57

 

D.) variance: 12.75

standard deviation: 7.2

 

  

 

Question 2: The probability distribution of the number of cars passing through an intersection each day based on past data is given below. Identify the expected number of cars passing through the intersection for one day.

 

A.)121

B.) 125

C.) 126

D.) 123

 

Answer 1

1) N = 8

∑x = 64

µ =64/8 = 8

σ² = ∑(x_i-µ)²/N = 102/8 = 12.75

σ = √12.75 ≈ 3.57

2) ∑x = 481

∑P(x) = 1.0

E(x) = ∑x•P(x) = 126.030 ≈ 126