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.

Leveraging Probability Distributions. ... How you would use the concept of probabilities to apply ... more satisfied individuals and other ways that probability is used ...

...Probability Distribution. The probability distribution of a discrete random variable is a list of probabilities associated with each of its possible values. ...

Find mean and standard deviation from probability distribution. ... (a) Use a frequency distribution to construct a probability distribution x P(x) 0 1 2 3 4 5. ...

... that a procedure yields a binomial distribution with a trial repeated with a trial n times. Using a binomial probabilities table, find the probability of x ...

Using Binomial Probability Distribution. ... (d) Using the choices listed below, what type of discrete probability distribution is this an example of and why? ...

... column contains relative frequencies, which may be thought of as probabilities. Therefore, we may view the table as describing a probability distribution. ...

... What is the standard deviation of the binomial distribution? ... What is the probability that less than 4 say ... by step method for the calculation of probabilities. ...

... Here P (X = 40) is negative. In order to be a probability distribution, all the probabilities should be ≥ 0. Hence it is not a probability distribution. ...

Joint Probability Distribution Function. 10. ... In our case a=5 and b=6, hence: By the same token the probability distribution function for Alvie is the same: ...