please show work explain how its done thankyou

Trivia Quiz The probabilities that a player will get 5-10 questions right on a trivia quiz are shown below. LP X 5 6 7 8 9 10 P(x) 0.04 02 0.4 0.1 0.16 0.1 Send data to Excel Part 1 of 3 Find the mean. Do not round your answer. Mean: 17.44 Part 2 of 3 Find the variance. Round your answer to one decimal place as needed. Varianceto = 56.9 X $ Part: 2/3 Part 3 of 3 Find the standard deviation, Round your answer to one decimal place as needed. Standard deviation: 7.5