(a) (i)A survey found that one out of five Americans say he or she has visited a doctor in any given month. If 10 people are selected at random, find the binomial probability that exactly 4 will have visited a doctor last month. (ii) A sales firm receives, on average, 4 calls per hour on its toll-free number. For any given hour, find the probability that it will receive less than equal 3 calls. (b) Full-time Ph.D. students receive an average of $12,837 per year. If the average salaries are normally distributed with a standard deviation of $1500, find these probabilities. (i). The student makes more than $14,000. (ii). The student makes between $13,000 and $15,000.

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(a)
(i)A survey found that one out of five Americans say he or she has visited a doctor in any given month.
If 10 people are selected at random, find the binomial probability that exactly 4 will have visited a
doctor last month.
(ii) A sales firm receives, on average, 4 calls per hour on its toll-free number. For any given hour, find
the probability that it will receive less than equal 3 calls.
(b) Full-time Ph.D. students receive an average of $12,837 per year. If the average salaries are normally
distributed with a standard deviation of $1500, find these probabilities.
(i). The student makes more than $14,000.
(ii). The student makes between $13,000 and $15,000.
Transcribed Image Text:(a) (i)A survey found that one out of five Americans say he or she has visited a doctor in any given month. If 10 people are selected at random, find the binomial probability that exactly 4 will have visited a doctor last month. (ii) A sales firm receives, on average, 4 calls per hour on its toll-free number. For any given hour, find the probability that it will receive less than equal 3 calls. (b) Full-time Ph.D. students receive an average of $12,837 per year. If the average salaries are normally distributed with a standard deviation of $1500, find these probabilities. (i). The student makes more than $14,000. (ii). The student makes between $13,000 and $15,000.
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