1. A phone customer is deciding between two long-distance plans. Plan 1 chares 99c for the first 20 minutes, and 10¢ per minute thereafter. Plan 2 charges 10c per minute. (Any fractions of a minute are charged proportionally in each plan.) The time X that the customer spends on a phone call is exponentially distributed, with an average time of 10 minutes. a) What is the cost function h, (X) for plan 1? b) What is the expected cost for plan 1? c) What is the cost function h2(X) for plan 2? d) What is the expected cost for plan 2?

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1. A phone customer is deciding between two long-distance plans. Plan 1 chares 99c for the first
20 minutes, and 10¢ per minute thereafter. Plan 2 charges 10c per minute. (Any fractions of a
minute are charged proportionally in each plan.) The time X that the customer spends on a
phone call is exponentially distributed, with an average time of 10 minutes.
a) What is the cost function h, (X) for plan 1?
b) What is the expected cost for plan 1?
c) What is the cost function h2 (X) for plan 2?
d) What is the expected cost for plan 2?
0.10 x 10 = $1
Plan I is only $0.99 due
tu the first 20 mins
being $0.9
K.)Plan 1- 0.99#+0.10 x
6) l0.99 cents
Plan 2= 0. (0 xJcost
equation
labout $1
Transcribed Image Text:1. A phone customer is deciding between two long-distance plans. Plan 1 chares 99c for the first 20 minutes, and 10¢ per minute thereafter. Plan 2 charges 10c per minute. (Any fractions of a minute are charged proportionally in each plan.) The time X that the customer spends on a phone call is exponentially distributed, with an average time of 10 minutes. a) What is the cost function h, (X) for plan 1? b) What is the expected cost for plan 1? c) What is the cost function h2 (X) for plan 2? d) What is the expected cost for plan 2? 0.10 x 10 = $1 Plan I is only $0.99 due tu the first 20 mins being $0.9 K.)Plan 1- 0.99#+0.10 x 6) l0.99 cents Plan 2= 0. (0 xJcost equation labout $1
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