The table below is an example ofprobability distribution of a discreetrandom variable. *135P(X)0.20.30.50.30.2O TrueFalse

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Let X = {Email, In Person, Instant Message, Text Message}; P(Email) = 0.06 P(In Person) = 0.55 P(Instant Message) = 0.24 P(Text Message) = 0.15 Is this model a probability distribution? A. Yes. B. No. C. Maybe.
The table shows relative frequencies for red-green color blindness in one doctor's practice. M represents 'person is male' and C represents 'person is color-blind. Use this table to find the probability P(C). P(C)= View an example Textbook Question 17 (071) A 6 & 7 + 8 O M M' Totals C 0.042 0.006 0.048 C' 0.400 0.552 0.952 Totals 0.442 0.558 1.000 ဂ Clear all + Check answer prt sc delete backspace
Please calculate the covariance and the correlation coefficient for the two random variables and briefly comment on the resulting correlation between the variables.
High school students in Michigan sometimes get "snow days" in the winter when the roads are so bad that school is canceled for the day. Define the random variableX = the number of snow days at a certain high school in Michigan for a randomly selected school year. Suppose the table below gives the probability distribution of X. 1. Value x, 1. 3 4 5 6 7 8 9 10 Probability p, ? 0.19 0.14 0.10 0.07 0.05 0.04 0.04 0.02 0.01 0.01 (a) Write the event “the school year has O snow days" in terms of X. Then find its probability. (b) At this high school, if more than 5 snow days are used over the course of the year, students are required to make up the time at the end of the school year. What's the probability that a randomly selected school year will require make-up days?
Determine the required value of the missing probability to make the distribution a discrete probability distribution. Р(x) 3 0.24 4 ? 0.22 0.26 P(4) = (Type an integer or a decimal.)
Quesiton 45
Spectrum provides cable television and internet service to millions of customers. Suppose that the management of Spectrum subjectively assesses a probability distribution for the number of new subscribers next year in the state of New York as follows. f(x) 100,000 0.05 200,000 0.20 300,000 0.25 400,000 0.35 500,000 0.10 600,000 0.05 (a) Is this probability distribution valid? Explain. This probability distribution ---Select--- valid because ---Select--- | for x = 100,000, 200,000, 300,000, 400,000, 500,000, 600,000. Also, f(x) (b) What is the probability Spectrum will obtain more than 400,000 new subscribers? (c) What is the probability Spectrum will obtain fewer than 200,000 new subscribers?
The random variable x is the number of houses sold by a realtor in a single month at the Sendsom's Real Estate Office. Its probability distribution is as follows. State which values are unusual, if any.Houses Sold (x) Probability P(x)0 0.241 0.012 0.123 0.164 0.015 0.146 0.117 0.21
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 .…
A psychologist determined that the number of sessions required to obtain the trust of a new patient is either 1, 2, or 3. Let x be a random variable indicating the number of sessions re- quired to gain the patient's trust. The following probability function has been proposed. f(x) = for x = 1, 2, or 3 6. Is this probability function valid? Explain. b. What is the probability that it takes exactly two sessions to gain the patient's trust? с. What is the probability that it takes at least two sessions to gain the patient's trust?
Faked numbers in tax returns, invoices, or expense account claims often display patterns that are not present in legitimate records. Some patterns like too many round numbers, are obvious and easily avoided by a clever crook. Others are more subtle. It is a striking fact that the first digits of numbers in legitimate records often follow a model known as Benford's law. Call the first digit of a randomly chosen legitimate record X for short. The probability distribution for X is shown here (note that a first digit can't be 0). E(X) = 3.441. First digit x; Probability Pi 1 0.301 2 0.176 3 0.125 What is the standard deviation of X? Interpret this value. 4 0.097 5 0.079 6 0.067 7 0.058 8 0.051 9 0.046 ox=2.462. The first digit of a randomly chosen record will typically vary from 2.462 by about 3.441. ox= 6.0605. The first digit of a randomly chosen record will typically vary from the mean (3.441) by about 6.0605. ox= 6.0605. The first digit of a randomly chosen record will typically vary…
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The table below is an example of probability distribution of a discreet random variable. * 1 3 5 P(X) 0.2 0.3 0.5 0.3 0.2 O True False