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A burger restaurant offers a promotion. With the purchase of every meal, you get a coupon to use for your next purchase. 85\(\%\) of the coupons are worth $1, 10\(\%\) of the coupons are worth $2, 4\(\%\) of the coupons are worth $5. And 1\(\%\) of the coupons are worth $20.

1.  Find the expected value, \(\mu\), of the coupon.

a.  $1.45

b.  $1.85

c.  $2.25

d.  $2.65

d.  $3.05

2.  Find the standard deviation, \(\sigma\), for the value of the coupon.

a.  $1.80

b.  $2.04

c.  $3.33

d.  $4.23

d.  $5.94

3.  If you flip a fair coin 10 times, find the probability of flipping exactly 5 heads (rounded to the nearest 1%.

a.  15%

b.  25%

c.  35%

d.  45%

d.  55%