Suppose that you are performing the probability experiment of rolling one fair six-sided die. LetFbe the event of rolling a four or a five. You are interested in how many times you need to roll the die in order to obtain the first four or five as the outcome.p= probability of success (eventFoccurs) q= probability of failure (eventFdoes not occur)

• Part (a)Write the description of the random variableX.
• Part (b)What are the values thatXcan take on?
• Part (c)Find the values ofpandq. (Enter exact numbers as integers, fractions, or decimals.)
• Part (d)Find the probability that the first occurrence of eventF(rolling a four or five) is on thefirsttrial. (Round your answer to four decimal places.)

(I need help with part D only)

p	=
q	=

X= 0, 1, 2, 3, ...X= 1, 2, 3, 4, ... X= ...2,1, 0,1,2, ...X= 4 or 5

• Correct!Xis the number of rolls it takes to obtain a 4 or 5, so it must be a positive integer.

Xis the number of rolls needed to obtain at least one occurrence of 4 and at least one occurrence of 5.Xis the number of rolls needed to obtain a 4 followed by a 5. Xis the number of rolls needed to obtain the first occurrence of a 4 or 5.Xis the number of rolls needed to obtain two occurrences of any combination of 4 and 5.

• Correct!Xis the number of rolls it takes to obtain a 4 or 5.