Answer:
a
Here k is the random number of number of pairs of shoes that will be returned for refund, which can be k = 0,1 ,2,3,4 ..., 120
b
The mean is
The standard deviation is
c
The mean is
The standard deviation is
Step-by-step explanation:
From the question we are told that
The cost to dealer for each refund is
The probability that a shoe will refunded is
The number of shoes purchased is n = 120 pairs
Generally the probability distribution of the number of pairs of shoes that will be returned for refunds is
Here k is the random number of number of pairs of shoes that will be returned for refund, which can be k = 0,1 ,2,3,4 ..., 120
Generally the mean is mathematically represented as
=>
Generally the standard deviation is mathematically represented as
=>
=>
Generally the total refund cost is mathematically represented as
Here K denotes the number of shoes returned
Generally the mean of the total refund cost is mathematically represented as
=>
=>
Generally the variance of the total refund cost is mathematically represented as
=>
=>
=>
=>