Historical Data Collected at the Commonwealth Bank in Sydney Revealed

question 45

Essay

Historical data collected at the Commonwealth Bank in Sydney revealed that 80% of all customers applying for a loan are accepted. Suppose that 50 new loan applications are selected at random.
a. Find the expected value and the standard deviation of the number of loans that will be accepted by the bank.
b. What is the probability that at least 42 loans will be accepted?
c. What is the probability that the number of loans rejected is between 10 and 15, inclusive?

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Definitions:

Observational Data

Facts and figures obtained by watching how people actually behave, using mechanical, personal, or neuromarketing data collection methods.

Primary Data

Original and direct data collected by a researcher firsthand for a specific research purpose or project.

Mechanical Methods

Pertains to procedures and techniques involving machinery or tools in processes such as manufacturing or data processing.

External Secondary Data

Information collected from outside sources that has already been gathered for some purpose other than the current research need.