Dirty air: The federal government has enacted maximum allowable standards for air pollutants such as ozone. Let X be the numberof days per year that the level of air pollution exceeds the standard in a certain city. The probability distribution of X is given by0P(x) 0.35XSend data to ExcelPart 1 of 4(a) Find P (3).12 30.38 0.19 0.05 0.03P (3)= 0.05Part: 1 / 4Part 2 of 4(b) Find P (3 or fewer).P (3 or fewer)=4=X

Given that, The probability distribution table is given. x 0 1 2 3 4 P(x) 0.35 0.38 0.19 0.05…

Answered: Dirty air: The federal government has…

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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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). P (3)= 0.05 Part 2 of 4 1 2 3 4 0.38 0.19 0.05 0.03 (b) Find P (3 or fewer). P (3 or fewer) = 0.97 Part: 2 / 4 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 x
Do you carpool? Let X represent the number of occupants in a randomly chosen car on a certain stretch of highway during morning commute hours. A survey of cars showed that the probability distribution of X is as follows. tab H ps lock esc Part: 0 / 7 → fn 14 Part 1 of 7 Skip Part r. design. (a) Find P (2). P (2) = . ! Ⓡ 1 2 3 4 5 P(x) 0.63 0.13 0.11 0.02 0.11 1 Type here to search ? Q x A Send data to Excel — Check Z @@ 2 X W S # 3 E IL X 5 alt D $ JOI 4 C O R % F 5 T V 40 Pa G 6 "4 B & Y 99+ hp 7 a H 4+ 8 N Save For Later © 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use | 144 9 tvo M 11 ULO 1 JK W LLL O 70- 441 L P : ; { alt ? Privacy Center DE = [1 Submit Assignment Accessibility 40 9:21 PM 2/21/2023 insert 1 1 . 4 1 prt sc C 屈 ola backspace pause ctri USE YOUR SMARTPHONE FOR Reviews Videos Featu Specs Support C 04 SC
For a particular disease, the probability that a patient passes away within the xth year is given by the following table: xx P(x)P(x) 0 0.016 1 0.031 2 0.256 3 0.298 4 0.35 5 0.028 6 0.021 This means that the probability that someone passes away within the first year is 0.016. The probability that they pass away after one year would be 0.031. What is the mean number of years someone survives? (round to two decimal places) What is the standard deviation for the number of years someone survives? (round to two decimal places) The Range Rule of Thumb for survival would be: years to years. (Round each to two decimal places.) In your own words, interpret what the Range Rule of Thumb tells us about this disease. (If you don't remember what the Range Rule of Thumb is, review the heading "Unusual Values" in the Learning Activities.)
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 x 0 1 2 3 4 Px 0.34 0.39 0.17 0.06 0.04 1. Find P(3) 2. Find P(2 or fewer). 3. Find the probability that the standard is exceeded on at least one day. 4. Find the probability that the standard is exceeded on more than one day. 5. Compute the mean ux. Round the answer to two decimal places. 6.Compute the standard deviation σx. Round the answer to three decimal places.
A sociologist randomly selects single adults for different groups of three, and the random variable x is the number in the group who say that the most fun way to flirt is in person. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. P(x) 0.091 0.335 0.417 1 2 0.157 Does the table show a probability distribution? Select all that apply. O A. Yes, the table shows a probability distribution. | B. No, not every probability is between 0 and 1 inclusive. | C. No, the sum of all the probabilities is not equal to 1. | D. No, the random variable x is categorical instead of numerical. | E. No, the random variable x's number values are not associated with probabilities. Find the mean of the random variable x. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. µ= adult(s)…
A sociologist randomly selects single adults for different groups of three, and the random variable x is the number in the group who say that the most fun way to flirt is in person. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. X P(x) - 0.095 1 0.348 2 0.391 3 0.166 A. Yes, the table shows a probability distribution. B. No, the sum of all the probabilities is not equal to 1. C. No, the random variable x's number values are not associated with probabilities. D. No, not every probability is between 0 and 1 inclusive. E. No, the random variable x is categorical instead of numerical. Find the mean of the random variable x. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. adult(s) (Round to one decimal place as needed.) B. The table does not show a…
Do you carpool? Let X represent the number of occupants in a randomly chosen car on a certain stretch of highway during morning commute hours. A survey of cars showed that the probability distribution of X is as follows. x 1 2 3 4 5 Px 0.68 0.14 0.08 0.02 0.08 Send data to Excel Part 1 of 7 (a) Find P1 . P1 = .68 Part 2 of 7 (b) Find P (greater than or equal to 2 ). P (greater than or equal to 2 ) = .32 Part 3 of 7 (c) Find the probability that a car has only one occupant. The probability that a car has only one occupant is . Part 4 of 7 (d) Find the probability that a car has fewer than four occupants. The probability that a car has fewer than four occupants is . Part 5 of 7 (e) Compute the mean μx .…
Find the probability P(Ec) if P(E)=0.17.
A student who is taking a stats class was assigned to watch the cars driving along Pereira Drive and count the number of people who are in each cars. Let Y be the number of people in a given car that the student observe. The following table shows the cdf of Y: 1 3 4 P(Y < y) 0.06 0.32 0.71 0.88 1 (a) What is the probability that a given car has 2 people in it? (b) What is the probability that a give car has 3 or more people in it. (c) What is the expected number of people in a given car that the student observe.

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