A fast food restaurant just leased a new freezer and food fryer for three years. The service contract for the freezer offers unlimited repairs for a fee of

$125

a year plus a

$35

service charge for each repair needed. The restaurant's research suggested that during a given year

80%

of these freezers need no repairs,

11%

needed to be serviced once,

5%

twice,

4%

three times, and none required more than three repairs.\ (20 points)\ \\\\table[[# of repairs,

x

,Probability,

P(x=x)

,

x-\\\\mu

,

(x-\\\\mu )^(2)

,

(x-\\\\mu )^(2)*P(x

)

=

(

x)

1. A fast food restaurant just leased a new freezer and food fryer for three years. The service contract for the freezer offers unlimited repairs for a fee of $125 a year plus a $35 service charge for each repair needed. The restaurant's research suggested that during a given year 80% of these freezers need no repairs, 11% needed to be serviced once, 5% twice, 4% three times, and none required more than three repairs. (20 points) a) Find the probability that no more than 2 repairs will be needed for these freezers. b) Find the expected (mean) number of repairs this kind of freezer is expected to need each year. Show your work. c) Find the variance and standard deviation of the number of repairs each year. Show your work