'SmartB" owns a phone battery assembly line which provide phone battery to a mobile company. It is known hat 4% of the batteries produced by "SmartB" are defective. A random sample of 28 phone batteries is selected from the assembly line and will be sent for inspection. (d) The production cost of a phone battery is $100 and the selling price to the mobile company is $500. When the phone battery is found defective within a year, it could be sent back for repairment, which costs "SmartB" $70. Suppose all defective phone battery would be reported by the customer within a year and would be sent back for repairment. Present the probability distribution function of the profit gained by “SmartB" from a phone battery. (Remark: Profit = revenue – cost)
'SmartB" owns a phone battery assembly line which provide phone battery to a mobile company. It is known hat 4% of the batteries produced by "SmartB" are defective. A random sample of 28 phone batteries is selected from the assembly line and will be sent for inspection. (d) The production cost of a phone battery is $100 and the selling price to the mobile company is $500. When the phone battery is found defective within a year, it could be sent back for repairment, which costs "SmartB" $70. Suppose all defective phone battery would be reported by the customer within a year and would be sent back for repairment. Present the probability distribution function of the profit gained by “SmartB" from a phone battery. (Remark: Profit = revenue – cost)
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 55SE: Use the following scenario for the exercises that follow: In the game of Keno, a player starts by...
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Transcribed Image Text:"SmartB" owns a phone battery assembly line which provide phone battery to a mobile company. It is known
that 4% of the batteries produced by "SmartB" are defective. A random sample of 28 phone batteries is
selected from the assembly line and will be sent for inspection.
(d) The production cost of a phone battery is $100 and the selling price to the mobile company is $500.
When the phone battery is found defective within a year, it could be sent back for repairment, which costs
"SmartB" $70. Suppose all defective phone battery would be reported by the customer within a year
and would be sent back for repairment. Present the probability distribution function of the profit gained
by “SmartB" from a phone battery. (Remark: Profit = revenue – cost)
(e) Calculate the expectation, variance, and standard deviation of the profit gained by "SmartB" from a phone
battery.
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