(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.
(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.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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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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