Question
In: Statistics and Probability
In the discussion for week 4, you rolled a pair of dice 10 times and calculated...
In the discussion for week 4, you rolled a pair of
dice 10 times and calculated the average sum of your
rolls. My average was 5.1 for 10 rolls and 6.75 for 20
rolls. Use my average results for the average of 10 rolls and
for the average of 20 rolls to construct a 95% confidence interval
for the true mean of the sum of a pair of dice
(assume σ = 2.41).
What do you notice about the length of the interval
for the mean of 10 rolls versus the mean of 20 rolls? Did you
expect this? Why or why not?
Using your mean for 20 rolls, calculate the 90%
confidence interval. Explain its size as compared to the 95%
confidence interval for 20 rolls.
Solutions
orchestra answered 1 year agoRelated Solutions
What is the probability that if a pair of dice is rolled eighteen times, exactly three...
What is the probability that if a pair of dice is rolled
eighteen times, exactly three sums of seven are rolled? (Round your
answer to four decimal places.)
A pair of dice is rolled and the sum of the dice is recorded, determine the...
A pair of dice is rolled and the sum of the dice is recorded,
determine the probability that:
a) The sum is greater than 5 given the first dice is a 4.
b) The sum is greater than 9 given the second dice is a 6.
c)The sum is even given the second dice is a 4
d) The sum is odd given the first dice is a 3
e) A double is rolled given neither dice is a 4...
A pair of fair dice are rolled once. Suppose that you lose $7 if the dice...
A pair of fair dice are rolled once. Suppose that you lose $7 if
the dice sum to 3 and win $12 if the dice sum to 4 or 12. How much
should you win or lose if any other sum turns up in order for the
game to be fair.
I got a negative answer and im not sure thats correct.
A pair of dice are rolled. Let A be the event as “the first dice roll...
A pair of dice are rolled. Let A be the event as “the first dice
roll is 3” and event B as “the second dice roll is 4”. Let event C
be as “the sum of the dice rolls are 7.”
a) Show that A and B are independent, that A and C are
independent, and that B and C are independent.
b) Show that A, B, and C are not mutually independent.
suppose you rolled a pair of dice. what is the probability of not getting a sum...
suppose you rolled a pair of dice. what is the probability of
not getting a sum of 7 or 8?
a pair of dice are rolled and if the sum is a 5, Derek gets a...
a pair of dice are rolled and if the sum is a 5, Derek gets a
point; if the sum is a 6, Ker gets a point; if the sum is a 7, Gary
gets a point. if the sum is some other value, no one gets a
point.
(a)
if the dice are rolled until Gary gets 4 points, find the
probability Derek gets exactly 2 points.
(b)
if the dice are rolled until Gary gets 4 points, find...
Find the probability that the sum is as stated when a pair of dice is rolled....
Find the probability that the sum is as stated when a pair of
dice is rolled. (Enter your answers as fractions.) (a) odd and less
than 5 (b) odd or less than 5
A pair of dice are rolled find the following? the odds in favor of a sum...
A pair of dice are rolled find the following? the odds in favor
of a sum of 4 -the odds in favor a sum of 7 or 11 - the probability
of a product that is even and greater than 5
Find the probability that the sum is as stated when a pair of dice is rolled....
Find the probability that the sum is as stated when a pair of
dice is rolled. (Enter your answers as fractions.) (a) odd and
doubles (b) odd or doubles
Find the probability that the sum is as stated when a pair of dice is rolled....
Find the probability that the sum is as stated when a pair of
dice is rolled. (Enter your answers as fractions.)
(a) 2
(b) 5
(c) 6
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