A particular professor is known for his arbitrary grading policies. eachpaper receives a grade from the set{a, a-, b+, b, b-, c+}, with equalprobability, independently of other papers. how many papers do youexpect to hand in before you receive each possible grade at least once?

The answer to the question is;

The number of papers expected to be handed in before receiving each possible grade at least once is 14.93.

Step-by-step explanation:

To solve the question , we note that it is a geometric distribution question which have equal probabilities and therefore is a form of Binomial distribution with Bernoulli trials, where we are conducting the trials till we have r successes

Since we have r = 6, we will have to find the expected value of the number of trials till the nth paper handed in receives a previously awarded grade.

We therefore have,

The Probability that out of six papers turned 5 are different scores is given by

P(Y=5) = p'= q⁵p = (1-p)⁵p = 3125/46656

Therefore p' = the probability of receiving different grades once then the expected value is given by

E(X)  = 1/p' = 46656/3125 = 14.93.

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graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.

the radius is 2 times the diameter.

step-by-step explanation: