In the Powerball lottery there are 59 white balls numb ered

In the Powerball lottery, there are 59 white balls, numb ered 1 to 59. Each week, five of the
white balls are drawn, without replacement. In the past, the most frequently o ccurring white
ball has b een 23.
(a) In the next lottery, will the probability of drawing the numb er 23 b e greater than 5 /59,
less than 5 /59, or equal to 5 /59?
Before one season, the Oakland A’s were considered to be an average major league baseball
team, predicted to win half (81) of their 162 games. They win the first six games of the
season.
(b) True or false: After the first six games, the best prediction of the total number of games
the Oakland A’s win that season is 162 out of 162.
(c) True or false: After the first six games, the best prediction of the total number of games
the Oakland A’s win that season is still 81 out of 162.
I survey a simple random sample of 1000 U.S. households and find out their income.
(d) True or false: By the Central Limit Theorem, the incomes in the population will have an
approximately normal distribution.
(e) True or false: By the Central Limit Theorem, the incomes in the sample will have an
approximately normal distribution

Solution

A) equal to 5/59

b) False

c) true

d)False

e) false