Question

Please help me answer all parts of this in the next two hours!

Answer 1

1) Yes, table shows a probability distribution

2) Mean = 1.5

3) Standard Deviation = 1.1

Explanation:

PART 1:

For the table to show a probability distribution, the sum of all probabilities should be equal to 1

Sum of probabilities = 0.358 + 0.443 + 0.174 + 0.025

Sum of probabilities = 1

Hence, the table shows the probability distribution.

PART 2:

The formula for mean is given by:

Mean = Sum of terms/ Total no. of terms

Mean = (0+1+2+3) / 4

Mean = 1.5

PART 3:

The formula for standard deviation is given by:

`\sigma=\sqrt{(\sum(x_i-\mu)^2)/(N)}`

Solve using a calculator, we get

σ = 1.118

Round off to one decimal place

σ = 1.1