Dirty air: The federal government has enacted maximum allowable standards for air pollutants such as ozone. Let X be the of days per year that the level of air pollution exceeds the standard in a certain city. The probability distribution of X is given 1 2 3 P(x) 0.35 0.38 0.19 0.05 0.03 X Send data to Excel Part 1 of 4 (a) Find P (3). P(3)= 0.05 Part 2 of 4 0 (b) Find P (3 or fewer). P (3 or fewer) = 0.97 Part 3 of 4 Part: 3/4 (c) Find the probability that the standard is exceeded on at least two days. The probability that the standard is exceeded on at least two days is 0.27 Part 4 of 4 4 (d) Find the probability that the standard is exceeded on more than two days. The probability that the standard is exceeded on more than two days is

Dirty air: The federal government has enacted maximum allowable standards for air pollutants such as ozone. Let X be the of days per year that the level of air pollution exceeds the standard in a certain city. The probability distribution of X is given 1 2 3 P(x) 0.35 0.38 0.19 0.05 0.03 X Send data to Excel Part 1 of 4 (a) Find P (3). P(3)= 0.05 Part 2 of 4 0 (b) Find P (3 or fewer). P (3 or fewer) = 0.97 Part 3 of 4 Part: 3/4 (c) Find the probability that the standard is exceeded on at least two days. The probability that the standard is exceeded on at least two days is 0.27 Part 4 of 4 4 (d) Find the probability that the standard is exceeded on more than two days. The probability that the standard is exceeded on more than two days is

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Let X be a random variable with the following probability distribution: |-3 6. 9. P(X) 1/6 1/2 1/3…

Q: Use n= 10 and p=0.25 to complete parts (a) through (d) below. (a) Construct a binomial probability…

A: Given that n=10 ,p=0.25 using binomial distribution Find all the required blanks

Q: The table shows the probability distribution for the num- ber of points (X) a player can win by…

A: Given,x12345P(x)0.40.20.20.10.1E(x)=∑x.P(x)E(x)=(1*0.4)+(2*0.2)+(3*0.2)+(4*0.1)+(5*0.1)E(x)=0.4+0.4+…

Q: Dirty air: The federal government has enacted maximum allowable standards for air pollutants such as…

A: The random variable is x.We have to find the mean and standard deviation.This is continuous…

Q: For a probability distribution X, if E(X) = 0.35 then E(3X-2) = Select one: O 1.05 O -1.05 O 0.95 O…

A: Assume that X is a random variable.

Q: Find the requested probability. P(A) if P(A) = 0.7 P(A) =

A: Given,P(A)=0.7

Q: Five males with an X-linked genetic disorder have one child each. The random variable x is the…

Q: baker is deciding how many batches of muffins to make to sell in his bakery. He wants to make enough…

A: Let X be the random variable having probability mass function is, X P(X) 1 0.15 2 0.35 3…

Q: Dirty air: The federal government has enacted maximum allowable standards for air pollutants such as…

A: According to the given information, we have Probability distribution table is given. x 0 1 2 3 4…

Q: Suppose the probability distribution of x, the number of defective tires on a randomly selected car…

A: The random variable x be the number of defective tires on a randomly selected car checked at a…

Q: Suppose that the random variable xx, shown below, represents the number of speeding tickets a person…

A: Solution x P(x) 0 0.2775 1 0.2546 2 0.2388 3 0.1736 4 0.0449 5 0.0106 6+ 0.0000…

Q: Suppose the probability distribution for X = number of jobs held during the past year for students…

A: Given data: x Probability 0 0.15 1 0.37 2 0.27 3 0.14 4 0.07

Q: In a school sports day, each student is required to join at least one event. The following table…

Q: The graph of the discrete probability to the right represents the number of live births by a mother…

Q: The following data were collected by counting the number of operating rooms in use at Tampa General…

Q: In an international school, each staff has to take place in at least 3 community services in a year.…

Q: Dirty air: The federal government has enacted maximum allowable standards for air pollutants such as…

A: The probability P(4) is given directly in the table as 0.04.

Q: Fifteen items or less: The number of customers in line at a supermarket express checkout counter is…

A: Since you have asked multiple question, we will answer the first question for you. If you want any…

Q: Do you carpool? Let X represent the number of occupants in a randomly chosen car on a certain…

A: Required probability is P(1)

Q: a Airlines quotes a flight time of 6 hours, 15 minutes for its flight from Los Angeles (LAX), USA to…

Q: The joint probability distribution of the number X of cars and the number Y of buses per signal…

A: Given the joint PMF of X and Y, and we have to find the probabilities of given events:

Q: For a particular disease, the probability that a patient passes away within the xth year is given by…

A: Given that: x P(x) 0 0.039 1 0.034 2 0.337 3 0.291 4 0.25 5 0.023 6 0.026

Q: (c) Find the probability that the standard is exceeded on at least two days. The probability that…

A: The following information has been given: x 0 1 2 3 4 p(x) 0.35 0.38 0.19 0.05 0.03 X is a…

Q: For a particular disease, the probability that a patient passes away within the xth year is given by…

Q: A sociologist randomly selects single adults for different groups of three, and the random variable…

A: From the provided information, The mean of the random variable x can be obtained as:

Q: The table shows the probability distribution of the number of days (x) to complete a construction…

A: Introduction: The random variable of interest is X, with f (x) representing the probability mass…

Question

100%

Dirty air: The federal government has enacted maximum allowable standards for air pollutants such as ozone. Let X be the number
of days per year that the level of air pollution exceeds the standard in a certain city. The probability distribution of X is given by
(→
1
2 3 4
P(x) 0.35 0.38 0.19 0.05 0.03
X
Send data to Excel
Part 1 of 4
(a) Find P (3).
P (3)= 0.05
Part 2 of 4
0
(b) Find P (3 or fewer).
P (3 or fewer) = 0.97
Part 3 of 4
(c) Find the probability that the standard is exceeded on at least two days.
The probability that the standard is exceeded on at least two days is 0.27
Part: 3/4
Part 4 of 4
(d) Find the probability that the standard is exceeded on more than two days.
The probability that the standard is exceeded on more than two days is
B
V

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given information

VIEW

Step 2: Probability

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Follow-up Questions

Read through expert solutions to related follow-up questions below.

Follow-up Question

**Title: Understanding Probability Distribution of Pollution Standard Exceedance**

**Introduction:**
The federal government has set maximum allowable standards for air pollutants, such as ozone. This exercise explores the probability distribution of $ X $, the number of days per year that the level of air pollution exceeds the standard in a certain city.

**Probability Distribution Table:**

\[
\begin{array}{c|ccccc}
X & 0 & 1 & 2 & 3 & 4 \\
\hline
P(X) & 0.34 & 0.39 & 0.19 & 0.05 & 0.03 \\
\end{array}
\]

**Exercises:**

**Part 1 of 6**

(a) *Find $ P(1) $.*

\[
P(1) = 0.39
\]

**Part 2 of 6**

(b) *Find $ P(3 \text{ or fewer}) $.*

\[
P(3 \text{ or fewer}) = 0.97
\]

**Part 3 of 6**

(c) *Find the probability that the standard is exceeded on at least two days.*

\[
\text{The probability that the standard is exceeded on at least two days is } 0.27.
\]

**Part 4 of 6**

(d) *Find the probability that the standard is exceeded on more than two days.*

\[
\text{The probability that the standard is exceeded on more than two days is } 0.08.
\]

**Part 5 of 6**

(e) *Compute the mean $ \mu_X $. Round the answer to two decimal places.*

\[
\mu_X = \Box
\]

**Conclusion:**
This exercise demonstrates how to interpret and calculate probabilities from a given probability distribution for environmental data on pollution standards. Understanding these distributions helps in assessing compliance with environmental regulations.

Solution

by Bartleby Expert

SEE SOLUTION

Follow-up Question

The image displays a section from an educational platform interface, specifically a task involving statistical calculations. Here is a transcription of the content suitable for an educational website:

---

### Compute the Mean $ \mu_X $

**Part 5 of 6**

$ (e) $ Compute the mean $ \mu_X $. Round the answer to two decimal places.

- Input field for $ \mu_X $
- Controls: A button with an "X" and a button with a circular arrow, likely for clearing the input or resetting.

**Navigation and Copyright**

- "Next Part" button for progressing to the next section.
- Footer notes © 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy

---

This section guides learners through the process of calculating the mean of a dataset, emphasizing accuracy by instructing them to round to two decimal places.

Solution

by Bartleby Expert

SEE SOLUTION

Follow-up Question

The probability that the standard is exceeded on more than two days is 0.08.

Part: 4 / 6

Part 5 of 6

(e) Compute the mean $ \mu_X $. Round the answer to two decimal places.

\[ \mu_X = \, \]

[ ] (Placeholder for input)

[Button with X symbol] [Button with circular arrow symbol]

Next Part

© 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center

Solution

by Bartleby Expert

SEE SOLUTION

Similar questions

Suppose that the random variable xx, shown below, represents the number of speeding tickets a person received in a three-year period. P(x)P(x) represents the probability of a randomly selected person having received that number of speeding tickets during that period. Use the probability distribution table shown below to answer the following questions. xx P(x)P(x) 0 0.3377 1 0.3347 2 0.1744 3 0.0605 4 0.0464 5 0.0463 6+ 0.0000 a) What is the probability that a randomly selected person has received four tickets in a three-year period?P(x=4)=P(x=4)=b) What is the probability that a randomly selected person has received four or more tickets in a three-year period?P(x≥4)=P(x≥4)=c) What is the probability that a randomly selected person has received more than four tickets in a three-year period?P(x>4)=P(x>4)=d) Would it be unusual to randomly select a person who has received four tickets in a three-year period? Yes No e) Which probability should we use to…
Dirty air: The federal government has enacted maximum allowable standards for air pollutants such as ozone. Let X be the number of days per year that the level of air pollution exceeds the standard in a certain city. The probability distribution of X is given by 1 3 4 P(x) 0.32 0.40 0.19 0.06 0.03 X Send data to Excel Part 1 of 2 0 Part: 1 / 2 (a) Compute the mean μx. Round the answer to at least two decimal places. x 1.08 Part 2 of 2 2 ox= (b) Compute the standard deviation ox. Round the answer to at least three decimal places.
The table shows the probability distribution of the number of days (x) to complete a construction project by a contractor. x f(x) 1 0.104 2 3 0.312 4 0.240 5 0.098 6 0.017 13 If you doubled each number of days to completion in the Days (x) column, the variance of days to completion will be _________. a 5.710 b 4.758 c 3.965 d 2.855
In an uncertain economy, Americans tend to keep spending down. Let x be the amount of money U.S. individuals spend on groceries monthly. Suppose the probability distribution of x is a uniform distribution from $300 to $400 which is represented by the picture below. f(x) 0.010 0.008 0.006 0.004 0.002 300 320 340 360 380 400 X i (a) What is the probability that a randomly selected individual spends between $315 and $370 on groceries each month? (b) Determine whether the following statement is true or false. The variable, the amount an individual plans to spend on groceries per month, is a numerical (quantitative) variable. True O False
Let X represent the number of homes a real estate agent sells during a given month. Based on previous sales records, she estimates that P(0)= 0.62, P(1)= 0.21, P(2)= 0.13, P(3)= 0.03, P(4)= 0.01, with negligible probability for higher values of x. Find the long-term average number of homes the real estate agent expects to sell each month.
Dirty air: The federal government has enacted maximum allowable standards for air pollutants such as ozone. Let X be the number of days per year that the level of air pollution exceeds the standard in a certain city. The probability distribution of X is given by 0 P(x) 0.35 X Send data to Excel Part 1 of 4 (a) Find P (3). 1 2 3 0.38 0.19 0.05 0.03 P (3)= 0.05 Part: 1 / 4 Part 2 of 4 (b) Find P (3 or fewer). P (3 or fewer)= 4 = X
Find the probability P(Ec) if P(E)=0.17.
Is this a legitimate probability distribution? P(x) = (2x - 1)/15 x = 0, 1, 2, 3, 4