QUESTION 3 (a) 70% of students sitting a Statistics examination will complete it before the allocated time has expired. Ten (10) students, who are about to sit their Statistics examination, are randomly selected. We wish to determine the probability that a certain number of students will complete their examination before the allocated time has expired. (i). Define a suitable random variable, X, for the appropriate (and named) probability distribution, identifying the value(s) of the associated parameters. (ii). What is the probability that at most 2 students will complete their examination before the allocated time has expired? (b) The credit ratings for secondary school teachers who apply for a loan from a certain bank are normally distributed with a mean of 200 and a standard deviation of 50. Out of all such applicants over the next 6 months, what is the probability that a secondary school teacher will have a rating that is between 175 and 275?
QUESTION 3
(a) 70% of students sitting a Statistics examination will complete it before the allocated time has
expired. Ten (10) students, who are about to sit their Statistics examination, are randomly
selected. We wish to determine the probability that a certain number of students will complete
their examination before the allocated time has expired.
(i). Define a suitable random variable, X, for the appropriate (and named) probability
distribution, identifying the value(s) of the associated parameters.
(ii). What is the probability that at most 2 students will complete their examination before the
allocated time has expired?
(b) The credit ratings for secondary school teachers who apply for a loan from a certain bank are
applicants over the next 6 months, what is the probability that a secondary school teacher will
have a rating that is between 175 and 275?
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