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The manager of the commercial mortgage department of a large bank has collected data during the...

The manager of the commercial mortgage department of a large bank has collected data during the past two years concerning the number of commercial mortgages approved per week. The results from these two years (107 weeks) are shown to the right.

a. Compute the expected number of mortgages approved per week.

b. Compute the standard deviation.

Number_Approved Frequency
0 14
1 26
2 31
3 17
4 8
5 6
6 1
7 1
1 0
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Answer #1

The table given below ,

Number_Approved (X) Frequency (f) f*X f*X^2
0 14 0 0
1 26 26 26
2 31 62 124
3 17 51 153
4 8 32 128
5 6 30 150
6 1 6 36
7 1 7 49
Total 104 214 666

a. The expected number of mortgages approved per week is ,

Σ f * X-214 104 2.0577

b. The standard deviation is,

666 2.05772 104 2.5225

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