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What is the approximnate probability that there are fewer than 100 accidents at the intersection in a year? (Hint: Restate this event in terms Approximately at least how many accidents per week at this intersection will we observe for 95% of the time? B I므 A▼A▼ E x' x, = 12pt Paragraph

What is the approximnate probability that there are fewer than 100 accidents at the intersection in a year? (Hint: Restate this event in terms Approximately at least how many accidents per week at this intersection will we observe for 95% of the time? B I므 A▼A▼ E x' x, = 12pt Paragraph

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.CR: Chapter 2 Review
Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...
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The number of accidents per week at a hazardous intersection varies with mean 2.2 and standard deviation 1.4. This distribution takes only whole-number values, so it is certainly not Normal. (i). Let X be the mean number of accidents per week at the intersection during a year (52 weeks). What is the approximate distribution of X? (ii). What is the approximate probability that X is less than 2? Show your work and include appropriate graphs of normal density curves of X and Z as illustration. (iii). What is the approximate probability that there are fewer than 100 accidents at the intersection in a year? (Hint: Restate this event in terms of X.) (iv). Approximately at least how many accidents per week at this intersection will we observe for 95% of the time? B I U A I E E E x x, E E 12pt Paragraph
Transcribed Image Text:The number of accidents per week at a hazardous intersection varies with mean 2.2 and standard deviation 1.4. This distribution takes only whole-number values, so it is certainly not Normal. (i). Let X be the mean number of accidents per week at the intersection during a year (52 weeks). What is the approximate distribution of X? (ii). What is the approximate probability that X is less than 2? Show your work and include appropriate graphs of normal density curves of X and Z as illustration. (iii). What is the approximate probability that there are fewer than 100 accidents at the intersection in a year? (Hint: Restate this event in terms of X.) (iv). Approximately at least how many accidents per week at this intersection will we observe for 95% of the time? B I U A I E E E x x, E E 12pt Paragraph
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