Suppose the number of car crashes in a state on any given day is 43 with a standard deviation of 3.4. Assume the statistics are normally distributed. Use the Excel formulas from tab #1 to answer the following and show your work in the cells on the right. a. Find the probability that more than 44 crashes occur today. b. Find the probability that less than 42 crashes occur today. c. Find the probability that between 42 and 44 crashes occur today.

MATLAB: An Introduction with Applications
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The one in yellow is tab 1.

Suppose the number of car crashes in a state on any given day is 43 with a standard
deviation of 3.4. Assume the statistics are normally distributed.
Use the Excel formulas from tab #1 to answer the following and show your work in
the cells on the right.
a. Find the probability that more than 44 crashes occur today.
b. Find the probability that less than 42 crashes occur today.
c. Find the probability that between 42 and 44 crashes occur today.
Transcribed Image Text:Suppose the number of car crashes in a state on any given day is 43 with a standard deviation of 3.4. Assume the statistics are normally distributed. Use the Excel formulas from tab #1 to answer the following and show your work in the cells on the right. a. Find the probability that more than 44 crashes occur today. b. Find the probability that less than 42 crashes occur today. c. Find the probability that between 42 and 44 crashes occur today.
Find the p-value of a Normal Distribution using Mean u = 8 and
Population Standard Deviationo= 2
In cell B3 type: -NORM.DIST(10,8,2,1)
Less than
This includes the value x, then the mean, then standard deviation and 1 for the cumulative result.
P(X<10)
Greater than P(X>10).
In cell B4 type: =1-NORM.DIST(10,8,2,1)
P(S<X<9)%3DP(IX<9)-P(X<5)
Between
In cell B5 type: =NORM.DIST(9,8,2,1)-NORM.DIST(5,8,2,1)
(Notice the larger value is written first)
Complete cels 67 to B9 in the same manner
Transcribed Image Text:Find the p-value of a Normal Distribution using Mean u = 8 and Population Standard Deviationo= 2 In cell B3 type: -NORM.DIST(10,8,2,1) Less than This includes the value x, then the mean, then standard deviation and 1 for the cumulative result. P(X<10) Greater than P(X>10). In cell B4 type: =1-NORM.DIST(10,8,2,1) P(S<X<9)%3DP(IX<9)-P(X<5) Between In cell B5 type: =NORM.DIST(9,8,2,1)-NORM.DIST(5,8,2,1) (Notice the larger value is written first) Complete cels 67 to B9 in the same manner
Expert Solution
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Normal distribution is a continuous distribution which has many real life applications. Normal curve is a bell shaped curve and it is symmetric about the mean.

A standard normal distribution is a normal distribution with mean 0 and standard deviation 1. For a normal distribution, mean, median and mode is equal.

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