Let X be a discrete random variable that takes on the values 2, 3, 4, 5, 6, 7 with respective probabilities .15, .10, .20 .20, .20, .15.The following table summarizes this:xp(x)234.15 .10 .20a. Find the probability that X² > 15.b. Calculate the expected value ex of X5.20c. Calculate the expected value ex2 of x²d. Calculate the variance of Xe. Calculate the standard deviation of Xf. Calculate the variance of 2Xg. Paste your R script in the box below.This answer has not been graded yet.67.20 .15

X 2 3 4 5 6 7 P(x) 0.15 0.10 0.20 0.20 0.20 0.15

Answered: Let X be a discrete random variable…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Suppose that the random variable , shown below, represents the number times. 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. 43 x 0 P(x) 0.2951 0.2587 1 2 0.1924 0.1604 P(x > 0) 0.7049 = 3 4 a) What is the probability that a randomly selected person has received five tickets in a three-year period? P(x = 5) = 0.0442 b) What is the probability that a randomly selected person has received one tickets in a three-year period? P(x = 1) 0.2587 P(x≤1)=1 5 6+ c) What is the probability that that a randomly selected person has received more than zero tickets in a three- year period? 0.0492 0.0442 0.0000 > Next Question d) What is the probability that that a randomly selected person has received one or less tickets in a three-year period? Enter an integer or decimal number [more..]
The following table lists the probability distribution of the number of student taken course per semester in science centre. 3 5 6 7 P(x) 0.37 0.26 0.18 0.11 0.08 Calculate E(4X + 6).
As you walk into your econometrics exam, a friend bets you $10 that she will outscore you on the exam. Let ✗ be a random variable denoting your winnings. X can take the values 10, if you win teh bet, 0 if there is a score tie, or -10 if you lose. You know that the probability distribution for ✗ is denoted by f(x) and it depends on whether she studied for the exam or not. Let Y be the random variable that indicates if she studied, Y = 0 if she studied and Y = 1 if she did not study. The following table denotes the joint distribution of X and Y : Y=0 Y=1 f(x) X = -10 0.18 P1 P2 X = 0 0 P3 0.3 X = 10 P4 0.45 P5 f(y) P6 0.75 Probabilities P1, P2, P3, P4, P5, P6 are not displayed in the table. Answer the following items: (a) (b) (a) Compute the Probabilities P1, P2, P3, P4, P5, P6 of the table. (b) Compute the expectation E(X). Should you take the bet? (c) What is the probability distribution of your winnings if you know that she did not study, namely, P(X = −10|Y = 1), P(X = 0|Y = 1), P(X…
Suppose that the random variable x, shown below, represents the number times. 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. 43 x P(x) = 0 1 2 3 > Next Question 4 5 6+ 0.2951 0.2587 0.1924 0.1604 a) What is the probability that a randomly selected person has received five tickets in a three-year period? P(x = 5) 0.0492 0.0442 0.0000 b) What is the probability that a randomly selected person has received one tickets in a three-year period? P(x = 1) = c) What is the probability that that a randomly selected person has received more than zero tickets in a three- year period? P(x > 0) d) What is the probability that that a randomly selected person has received one or less tickets in a three-year period? P(x ≤ 1) =
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 0.3891 1 0.281 2 0.1497 3 0.098 4 0.0471 5 0.0351 6+ 0.0000 Would it be unusual to randomly select a person who has received four or more tickets in a three-year period? A. Yes B. NoIs it correct answer B?
Compute the probabilities for each random varlable x. (decimal form: hundredlhs) L Given the variable x and the frequency of Its occurrence P(X) f. 3 1. 2. 10 15 26 3. 20 10 4. 25 2. 5.
K Before every flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the aircraft. The aircraft can carry 39 passengers, and a flight has fuel and baggage that allows for a total passenger load of 6,318 lb. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if the mean weight of 6,318 lb the passengers is greater than = 162 lb. What is the probability that the aircraft is overloaded? Should the pilot take any action to correct for an overloaded aircraft? Assume 39 that weights of men are normally distributed with a mean of 174.1 lb and a standard deviation of 39.5 The probability is approximately (Round to four decimal places as needed.)
Let X be a normally distributed random variable with parameters u = 14 and o = 2. Evaluate the probabilities mentioned in the following items. Write the corresponding R expressions to get their values. 3.1. Probability that X is less than or equal to 10. 3.2. Probability that X is between 11 and 15. 3.3. Probability that X is greater than 16. 3.4. Probability that X 10.
The following table contains the probability distribution for X = the number of re-transmissions necessary to successfully transmit a 5 GB data package through a double satellite media. X P(x) 0 0.40 1 0.30 2 0.25 3 0.05 Find the probability that there is at most two re-transmission. The probabilities that discipline officers will discover violations of the student handbook in a certain school in a quarter are given in the following table. Number of Violations (v) 3 4 5 6 7 8 9 Probability P(v) 0.3100 0.1200 0.1700 0.1200 0.1300 0.1000 0.0500 What is the probability that on a given day, discipline officers will discover at most 6 violations of the student handbook? (Input answer in 4 decimal places) type your answer...
The chance of an IRS audit for a tax return with over $25,000 in income is about 2% per year. We are interested in the expected number of audits a person with that income has in a 16-year period. Assume each year is independent. Part (a) Part (b) List the values that X may take on. X=0, 1, 2,..., 15, 16 OX= 1, 2, 3, OX= 1, 2, 3, OX=1,2,3,... 15, 16 98, 99, 100 Part (c) Give the distribution of X X-B 0.02 □ Part (d) How many audits are expected in a 16-year period? (Round your answer to two decimal places.) 0.32 audits Part (e) Find the probability that a person is not audited at all. (Round your answer to four decimal places.) Part (1) Find the probability that a person is audited more than twice. (Round your answer to four decimal places.)
Let X be a discrete random variable that takes on the values -2, 3, 4, 5, -6, 7 with respective probabilities .10, 11, .21.22, 23, 13. The following table summarizes this: x p(x) -2 -4 3 10 .11 21 a. Find the probability that X>0. b. Calculate the expected value ex of X 5 22 c. Calculate the expected value ex2 of x² d. Calculate the variance of X e. Calculate the standard deviation of X f. Calculate the variance of 4X 9. Paste your R script in the box below. -6 7 23 13
Assume that a researcher randomly selects 14 newborn babies and counts the number of girls selected, x. The probabilities corresponding to the 14 possible values of x are summarized in the given table. Answer the question using the table. Probabilities of Girls x(girls) P(x) x(girls)| P(x) |x(girls)| P(x) 0.000 0.122 10 0.061 1 0.001 0.183 11 0.022 2 0.006 7 0.210 12 0.006 3 0.022 8 0.183 13 0.001 4 0.061 9 0.122 14 0.000 Find the probability of selecting 12 or more girls. 0.001 O 0.022 0.006 O 0.007

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