Question 62746
Historical data collected at American Nationwide Mortgage revealed that 80% of all customers applying for a loan are accepted. Suppose that 50 new loan applications are selected at random.
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These are all binomial with n=50, p=0.8 
a) What is the probability that at least 42 loan applications will be accepted?
P(X>=42)=0.3073...
b) What is the probability that more than 40 loan applications will be accepted?
P(X>40)=0.4437...
c) What is the probability that less than 25 loan applications will be accepted?
0.0000004924...
d) What is the probability that less than 5 loan applications will be rejected?
6.78X10^-28
e) What is the probability that more than 30 loan applications will be 
accepted?
0.99967...
Comment: Got these answers using the function binomcdf on a TI-83 calculator.
Cheers,
Stan H.