Question 1 please show all working out

let u(w) = ln(w+2)

a) calculate Expected utility for the following

- $2 for sure

- a 3/4 chance of $3 and a 1/4 chance of $0.10

- $2 million for sure

- 3/4 chance of $3 million and a 1/4 chance if $0.10

b) determine whether preferences consistent with this utility function are risk averse, risk neutral or risk loving

c) for the second gamble ( a 3/4 chance of $3 and a 1/4 chance of $0.10) find the certainty equivalent under this utility function.

if possible, grateful if you could also draw the graph for this utility function.