The following table provides a probability distribution for the random variable y.a. Compute E(y) (to 1 decimal).b. Compute Var(y) and a (to 2 decimals).Var(y)σIcon KeyExercise 05.16 Algo (Expected Value and Variance)Y2479f(y)0.100.300.400.20SaveHint(s) Check My Work◄ Question 8 of 10 ►Submit Assignment for GradingA-ZOfficeA+

The given probability distribution for the random variable ,yf(y)24790.100.300.400.20To find the…

Answered: The following table provides a…

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.
A pencil company has four extruders for making pencil lead. The maintenance manager has determined from historical data that the following table describes the distribution of the number of extruders down (out of operation) on any given day: y 0 1 2 3 4 P(y) 0.5 0.3 0.1 0.05 0.05 a. Find the probability that three or more extruders are down. b. Find the probability that fewer than one extruder is down. c. Find the expected number of extruders down. d. Find the population variance and the population standard deviation for the number of extruders down.
Suppose the following joint probability table for X and Y. Answer the questions. X 1 3 Total -1 0.02 0.03 0.04 0.09 Y 2.75 0.03 0.15 0.16 0.34 3 0.09 0.15 0.06 0.30 4.55 0.16 0.11 0.27 Total 0.14 0.49 0.37 1.00 What is Var(Y|X = 3) – the conditional variance of Y, given that X = 3? Answer:
er Weapon Handgun Rifle Shotgun Unknown firearm Knives Hands, fists, etc. Other Probability 0.478 0.027 0.035 0.148 0.135 0.059 0.118 to 0 and less than or equal to 1, and the sum of the probabilities of all outcomes E 14 quiz
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.
The table gives the joint probability distribution of the number of sports an individual plays (X) and the number of times she may get injured while playing (Y) X=1 X=2 X=3 0.12 0.08 0.15 0.06 0.05 0.05 0.10 0.03 0.15 0.15 0.04 0.02 Y=4 Y=3 Y=2 Y=1 The covariance between X and Y, oxy, is (Round your answer to two decimal places Enter a minus sign if your answer is negative) The correlation between X and Y, corr(X, Y), is (Round your answer to two decimal places Enter a minus sign if your answer is negative.) An increase in the number of sports an individual plays will tend to * the number of times she may got injured while playing
Calculate the mean of the following probability distribution P(X) Y ,To Yol00 O 2.2 O 0.95 O 1.8 O 1.3 O None

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The following table provides a probability distribution for the random variable y. a. Compute E(y) (to 1 decimal). b. Compute Var(y) and a (to 2 decimals). Var(y) 00 Y 2 4 7 9 f(y) 0.10 0.30 0.40 0.20