Two number cubes are rolled to determine how a token moves on a game board. The sides of each number cube are numbered 1, 2, 3,
4, 5 and 6.
There are two options describing how the token will be moved.
Option A: If the product is even, move forward 7 spaces. Otherwise, move backward 5.
Option B: If the product is even, move forward 5 spaces. Otherwise, move backward 4.
Use mathematical expectation to determine which option offers the greater likelihood of moving closer to the finish line on the game board.
Which statement best explains the better option?
The mathematical expectation of Option A is 2.75. The mathematical expectation of Option B is 4. Option B offers a greater likelihood of advancing to the finish line.
The mathematical expectation of Option A is 4. The mathematical expectation of Option B is 2.75. Option A offers a greater likelihood of advancing to the finish line.
The mathematical expectation of Option A is 2.75. The mathematical expectation of Option B is 4. Option A offers a greater likelihood of advancing to the finish line.
The mathematical expectation of Option A is 4. The mathematical expectation of Option B is 2.75. Option B offers a greater likelihood of advancing to the finish line.
There are two options describing how the token will be moved.
Option A: If the product is even, move forward 7 spaces. Otherwise, move backward 5.
Option B: If the product is even, move forward 5 spaces. Otherwise, move backward 4.
Use mathematical expectation to determine which option offers the greater likelihood of moving closer to the finish line on the game board.
Which statement best explains the better option?
The mathematical expectation of Option A is 2.75. The mathematical expectation of Option B is 4. Option B offers a greater likelihood of advancing to the finish line.
The mathematical expectation of Option A is 4. The mathematical expectation of Option B is 2.75. Option A offers a greater likelihood of advancing to the finish line.
The mathematical expectation of Option A is 2.75. The mathematical expectation of Option B is 4. Option A offers a greater likelihood of advancing to the finish line.
The mathematical expectation of Option A is 4. The mathematical expectation of Option B is 2.75. Option B offers a greater likelihood of advancing to the finish line.
1 answer:
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Answer:
The 98% confidence interval estimate of the proportion of adults who use social media is (0.56, 0.6034).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
Of the 2809 people who responded to survey, 1634 stated that they currently use social media.
This means that
98% confidence level
So , z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:
The upper limit of this interval is:
The 98% confidence interval estimate of the proportion of adults who use social media is (0.56, 0.6034).