Assignment:
Students in a class take a quiz with eight questions. The number x of questions answered correctly can be approximated by the following probability distribution. Complete parts (a) through (e).
X 0 1 2 3 4 5 6 7 8
P(x) 0.02 0.04 0.05 0.05 0.11 0.24 0.24 0.17 0.08
a. Use the probability distribution to find the mean of the probability distribution.
b. Use the probability distribution to find the standard deviation of the probability distribution.
c. Use the probability distribution to find the standard of the probability distribution.
d. Use the probability distribution to find the expected value of the probability distribution.
e. Interpret the results. Choose one.
a) The expected number of questions answered correctly is 5.2 with a standard deviation of 1.9 questions.
b) The expected number of questions answered correctly is 5.2 with a standard deviation of .02 questions.
c) The expected number of questions answered correctly is 1.9 with a standard deviation of 5.2 questions.
d) The expected number of questions answered correctly is 3.5 with a standard deviation of 1.8 questions 1.9.
Provide complete and step by step solution for the question and show calculations and use formulas.