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1.) A binomial experiment with probability of success = p 0.32 and = n 8 trials is conducted. What is the probability that the experiment

1.) A binomial experiment with probability of success

=p0.32

and

=n8

trials is conducted. What is the probability that the experiment results in more than

2

successes?

2.)Charlie is playing a game of chance in which he rolls a number cube with sides numbered from

1

to

6

. The number cube is fair, so a side is rolled at random.

This game is this: Charlie rolls the number cube once. He wins

$1

if a

1

is rolled,

$2

if a

2

is rolled,

$3

if a

3

is rolled, and

$4

if a

4

is rolled. He loses

$5

if a

5

or

6

is rolled.

(If necessary, consult a list of formulas.)

(a) Find the expected value of playing the game.
dollars
(b) What can Charlie expect in the long run, after playing the game many times?

Charlie can expect to gain money.

Hecanexpecttowindollarsperroll.

Charlie can expect to lose money.

Hecanexpecttolosedollarsperroll.

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