Based on past experience, a bank believes that \( 9 \% \) of the people who receive loans will not make their payments on time. The bank has recently approved 200 loans. a. Write about and check each of the conditions needed in the context of this situation to use the sampling distribution for the proportion of people who will not make their payments on time (Central Limit Theorem). Conditions: distritution for the proportion of people who make their payment on time based on the cental limit theorem. we can proceeds to analyze the proportion of the sameple that does not make payment on time using normal approximation methods. What are the mean and standard deviation of this model? b. Mean = 18 c. Standard deviation (accurate to 4 decimal places) \( =4.047 \) d. What is the probability that \( 10 \% \) or more of these clients will not make timely payments to 4 decimal places? 0.312 .
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