Solved: What Would You Do? You work at a bank and are

Chapter 2, Problem 45EC

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QUESTION:

What Would You Do?

You work at a bank and are asked to recommend the amount of cash to put in an ATM each day. You don’t want to put in too much (security) or too little (customer irritation). Here are the daily withdrawals (in hundreds of dollars) for 30 days.

72   84   61   76   104   76   86   92   80   88   98   76   97   82   84

67   70   81   82     89   74   73   86   81   85   78   82   80   91   83

(a) Construct a relative frequency histogram for the data. Use 8 classes.

(b) If you put $9000 in the ATM each day, what percent of the days in a month should you expect to run out of cash? Explain.

(c) If you are willing to run out of cash on 10% of the days, how much cash should you put in the ATM each day? Explain.

Questions & Answers

QUESTION:

What Would You Do?

You work at a bank and are asked to recommend the amount of cash to put in an ATM each day. You don’t want to put in too much (security) or too little (customer irritation). Here are the daily withdrawals (in hundreds of dollars) for 30 days.

72   84   61   76   104   76   86   92   80   88   98   76   97   82   84

67   70   81   82     89   74   73   86   81   85   78   82   80   91   83

(a) Construct a relative frequency histogram for the data. Use 8 classes.

(b) If you put $9000 in the ATM each day, what percent of the days in a month should you expect to run out of cash? Explain.

(c) If you are willing to run out of cash on 10% of the days, how much cash should you put in the ATM each day? Explain.

ANSWER:

Step 1 of 4

We have the data of daily withdrawal of money in ATM for 30 days.

72

84

61

76

104

76

86

84

67

70

81

82

89

74

73

83

92

80

88

98

76

97

82

86

81

85

78

82

80

91

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