Answer:
a) Normal Distribution
b) 0.146
c) 0.070
Step-by-step explanation:
We are given the following information in the question:
The number of accidents per week at a hazardous intersection varies with mean 2.2 and standard deviation 1.4
a) : mean number of accidents per week at the intersection during a year (52 weeks)
According to central limit theorem, as the sample size becomes larger, the distribution of mean approaches a normal distribution.
Since we have a large sample, the approximate distribution of is a normal distribution with
b) P(mean is less than 2)
Formula:
P(x > 610)
Calculation the value from standard normal z table, we have,
c) P(fewer than 100 accidents at the intersection in a year)
P(x < 100)
Calculation the value from standard normal z table, we have,