Question

In: Statistics and Probability

4. One hundred draws are made at random with replacement form the box [1 3 3 9] Assume...

4. One hundred draws are made at random with replacement form the box [1 3 3 9]

Assume SD_b=3 .

a) How large can the sum be? How small?

b) Find the expected value and the standard error for the sum of draws.

Show them on the normal curve.

b) How likely is the sum to be in the range 370 to 430

c) How likely is the sum to be larger than 500?

6. A quiz has 25 multiple choice questions. Each question has 3 possible answers, one of which is correct. A correct answer is worth 4 points (a ticket with the value of 4), but a point is taken off for each incorrect answer (a ticket with the value of -1). A student answers all 25 questions by guessing at random.

a) Present the problem with an appropriate box model.

Find the expected value and the standard error for the sum of 25 draws. Interpret this sum in terms of the scores.

b) What is the chance that the student will get a score above 50?

II: Now replace the tickets with the value of -1 by the tickets with the value of 0.

a) Make a box model. Find the expected value and the standard error for the sum of 25 draws. Interpret the result.

b) What is the chance that the student will get a score above 50?

3. A box contains two red balls and three green balls.

Make a box model.

Six draws are made with replacementfrom the box. Find the chance that:

a) A redball is never drawn.

b) A green ball appears exactly three times.

Expert Solution

orchestra answered 1 year ago

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