Expected Value Sample

Identify the notation

• Expected value of X

• standard deviation of the sample

• standard deviation of population

• Example X

What are the expected counts of a female who likes Pepsi?

• 10.5

• 11

• 14.5

• 6.3

A random sample of traffic tickets given to motorists in a large city is examined.  The tickets are classified according to the race of the driver.  The results are summarized in the table provided.  Assuming H₀ is true, the expected number of Hispanic drivers who would receive a ticket is

• 10.36

• 11

• 11.84

• 12

The table shows the number or babies born on each day of the week.  Is there evidence that births are more likely on specific days of the week?

• yes, the p value is greater than .05

• no, the p value is less than .05

• yes, the p value is less than .05

• no, the p value is greater than .05

Find the mean (expected value) of the probability distribution.

• 85

• 83.2

• 87.1

• 84.4

Data was compiled and the number of goals for a hockey team per game and the corresponding probabilities are given below. If this hockey team plays an 82-game season, what is the expected cumulative goal total for the next season?

• 220

• 239

• 261

• 309

• 320

Given that families continue to have children until they get a girl, what is the expected number of children per family?  Standard deviation?

• Expected Value = 2  St. Dev. =1.414

• Expected Value = 2  St. Dev. = 2

• Expected Value = 0.5  St. Dev. = 1.414

• Expected Value = 0.5 St. Dev. = 2

Of the 12 frozen chickens, how many would you expect to contain enough salmonella bacteria to cause illness if improperly cooked? What is the standard deviation?

• Mean = 3.33   St. Dev. = 1.59

• Mean = 3.33  St. Dev. = 2.79

• Mean = 3.6       St. Dev. = 1.59

• Mean = 3.6        St. Dev. = 2.79

Choose an American household at random. What is the expected number of cars for that household?

• 1.75

• 1.84

• 2.00

• 2.50

• Box A
• Box B
• Box A or B, but not C
• All boxes offer the same expected winnings