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The chance of winning a particular game is \(\frac{1}{4}\). Say we play the game 10 times.

1.  Find the chance of winning exactly two times.

a.  23.5\(\%\)

b.  25.6\(\%\)

c.  28.2\(\%\)

d.  29.8\(\%\)

d.  30.1\(\%\)

2.  Find the chance of winning fewer than 3 times.

a.  52.6\(\%\)

b.  60.6\(\%\)

c.  70.4\(\%\)

d.  75.2\(\%\)

d.  77.6\(\%\)

3.  Find the chance of winning at least 3 times.

a.  22.4\(\%\)

b.  24.8\(\%\)

c.  29.6\(\%\)

d.  39.4\(\%\)

d.  47.4\(\%\)

4.  If r denotes the the number of wins, find the expected value, \(\mu\) for r.

a.  1

b.  1.5

c.  2

d.  2.5

d.  3

3.  If r denotes the the number of wins, find the standard deviation,\(\sigma\) for r.

a.  1.20

b.  1.32

c.  1.37

d.  1.88

d.  1.95