Suppose that there is a 1.1% chance a planet will develop life, a 2.2% chance that the life willevolve into complex organisms, a 7.3% chance that complex organisms develop into advancedcivilizations, and an X% chance that the advanced civilizations become intergalactic.If there are 2,986,588 planets, and we observe only 1 intergalactic civilization, what is theexpected value of X?Note that X is in percentage form (e.g. 30.51 not 0.3051). You can round to two decimal places, but donot round until your final answer!

The expected value is determined in statistics by calculating each possible scenario by the…

Answered: Suppose that there is a 1.1% chance a…

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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In the game of roulette, a player a can place a $8 bet on the number 6 and have a 1/38 probability of winning. If the metal ball lands on 6, the player ges to keep the $8 paid to play the game and the plaeyer is awarded an additional $280. Otherwise, the player is awarded nothing and the casino takes the player's $8. Find the expected value E(x) to the player for one play of the game. If x is the gain to a player in a game of chance, then E(x) is usually negative. The value gives the average amount per game the player can expect to lose. What is the expected value?
newspapers. You randomly select 10 U.S. adults. Find the probability that the number of U.S. adults who have very little confidence in newspapers is (a) exactly five, (b) at least sbx, and (c) less 44% of U.S. adults have very little confidence than four. (a) P(5) = (Round to three decimal places as needed.) (b) P(x26) = (Round to three decimal places as needed.) (c) P(x<4) = (Round to three decimal places as needed.)
A cohort study is conducted to assess the association between hypertension and the risk of stroke. The study involves n=1,250 participants who are free of stroke at the study start. Each participant is assessed at study start (baseline) and every year thereafter for five years. The following table displays data on hypertension status measured at baseline and hypertension status measured two years later. 2 Years: Not Hypertensive 2 Years: Hypertensive Baseline: Not Hypertensive 850 148 Baseline: Hypertensive 45 207 Compute the cumulative incidence of hypertension over 2 years. Group of answer choices 17.1%
PART C. 1. James is an operator of a machine that uses 16 batteries. Because it has so many, it does not shut off until half of the batteries are dead. a. All batteries are independent and have uniformly distributed lifetimes on the interval [ 0, 1 2] years. Find the probability that the machine shuts before 1 years of work? b. What is the expected time when the 5th and the 8th battery die?
In the Chernobyl nuclear accident it is estimated that 30,000 people received an average dose of 45 REM. For this population, using the linear hypothesis, how many "normal" deaths from cancer are expected and how many additional deaths from the radiation of the accident? Group of answer choices 500 normal, 6000 additional 1000 normal, 4000 additional 2000 normal, 3000 additional 4000 normal, 1000 additional 6000 normal, 500 additional
In the game of roulette, a player can place a $9 bet on the number 29 and have a probability of winning. If the metal ball lands on 29, the player gets to keep the 38 1 $9 paid to play the game and the player is awarded an additional $315. Otherwise, the player is awarded nothing and the casino takes the player's $9, Find the expected value E(x) to the player for one play of the game. If x is the gain to a player in a game of chance, then E(x) is usually negative. This value gives the average amount per game the player can expect to lose. The expected value is $.5 (Round to the nearest cent as needed.)
Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Now suppose you are the auditor for a very large corporation. The revenue file contains millions of numbers in a large computer data bank. You draw a random sample of n = 226 numbers from this file and r = 87 have a first nonzero digit of 1. Let p represent the population proportion of all numbers in the computer file that have a leading digit of 1. 1) Test the claim that p is more than 0.301. Use α = 0.10. 2) What is the value of the sample test statistic? (Round your answer to two decimal places.) 3) Find the P-value of the test statistic. (Round your answer to four decimal places.) 4) If p is in fact larger than 0.301, it would seem there are too many numbers in…
Section 7.6 10. Suppose that a probability distribution ha mean 10 and standard deviation 1 Use the Chebychev inequality to estimate the probability that an outcome will lie between 9 and 11.
What does the memoryless property refer to? An event cannot occur if it has already occured within a recent specified time period. The distribution of the time until an event does not depend on how much time has already passed. The occurrence of an event is independent of the number of times that event has already occurred. None of the above.
Answer A, B1, and B2: A. The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.5 percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, seven of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult American population. B. Researchers interested in lead exposure due to car exhaust sampled the blood of 52 police officers subjected to constant inhalation of automobile exhaust fumes while working traffic enforcement in a primarily urban environment. The blood samples of these officers had an average lead concentration of 124.32 µg/l and a SD of 37.74 µg/l; a previous study of individuals from a nearby suburb, with no history of exposure, found an average blood level…
The lifetime of a bulb is modeled as a Poisson variable. You have two bulbs types A andB with expected lifetime 0.25 years and 0.5 years, respectively. When a bulb’s life ends, it stops working. You start with new bulb of type A at the start of the year. When it stopsworking, you replace it with a bulb of type B. When it breaks, you replace with a type Abulb, then a type B bulb, and so on.1. Find the expected total illumination time (in years), given you do exactly 3 bulb re-placements2. Your replacements are now probabilistic. If your current bulb breaks, you replaceit with a bulb of type A with probability p, and with type B with probability (1 –p). Find the expected total illumination time (in years), given you do exactly n bulbreplacements, and start with bulb of type A

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