Options: 1.) Normal Distribution 2.) Normal Approximation to the binomal distribution3.) Exponential distribution4.) Lognormal Distribution5.) Binomial Distribution6.) Geometric Distribution7.) Negative Binomial Distribution8.) Hypergeometric Distribution9.) Poisson Distribution 1) Choose the distributionIn Chapter 5, the calculations themselves aren't too tricky - often the hard part is simplydetermining which distribution to use! For the following problems, write the name of thedistribution you would use in the box (no need to solve). f) The probability that a patient recovers from a heart operation is 0.95. Find the probabilitythat 2 of the next 5 patients recover from the operation.g) A certain field has an average of 5 beavers per acre. An area has been fenced off for a researchproject. If the fenced-off area is 5 acres in total, what is the probability that it contains morethan 20 beavers?UICh) If 20% of people who are called to answer an opinion poll refuse to participate, what is theprobability that 10 people refuse to participate in the poll before someone finally agrees?IE342 - Probability and Statistics for EngineersHW08i) A foreign languages club includes the following language students: 2 studying Japanese, 5studying Spanish, 4 studying German, and 2 studying Italian. If a committee of 4 students isselected at random, what is the probability that none of the members are studying Italian?j) A scientist inoculates mice, one at a time, with a disease until he finds a group of 5 subjectswhich have contracted the disease. If the probability of contracting the disease is 0.3, whatis the probability he must inoculate more than 10 mice?1

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Options:

1.) Normal Distribution

2.) Normal Approximation to the binomal distribution

3.) Exponential distribution

4.) Lognormal Distribution

5.) Binomial Distribution

6.) Geometric Distribution

7.) Negative Binomial Distribution

8.) Hypergeometric Distribution

9.) Poisson Distribution

1) Choose the distribution
In Chapter 5, the calculations themselves aren't too tricky - often the hard part is simply
determining which distribution to use! For the following problems, write the name of the
distribution you would use in the box (no need to solve).

f) The probability that a patient recovers from a heart operation is 0.95. Find the probability
that 2 of the next 5 patients recover from the operation.
g) A certain field has an average of 5 beavers per acre. An area has been fenced off for a research
project. If the fenced-off area is 5 acres in total, what is the probability that it contains more
than 20 beavers?
UIC
h) If 20% of people who are called to answer an opinion poll refuse to participate, what is the
probability that 10 people refuse to participate in the poll before someone finally agrees?
IE342 - Probability and Statistics for Engineers
HW08
i) A foreign languages club includes the following language students: 2 studying Japanese, 5
studying Spanish, 4 studying German, and 2 studying Italian. If a committee of 4 students is
selected at random, what is the probability that none of the members are studying Italian?
j) A scientist inoculates mice, one at a time, with a disease until he finds a group of 5 subjects
which have contracted the disease. If the probability of contracting the disease is 0.3, what
is the probability he must inoculate more than 10 mice?
1

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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