Suppose that there is a 1.7% chance a planet will develop life, a 2.8% chance that the life willevolve into complex organisms, a 5.5% chance that complex organisms develop into advancedcivilizations, and an X% chance that the advanced civilizations become intergalactic.If there are 2,848,343 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!

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Answered: Suppose that there is a 1.7% 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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Fill in the Blank Question 3 If one or more of the relevant predictor variables are excluded, then the resulting OLS estimators are biased. The extent of the bias depends on the degree of the between the included and the excluded predictor variables.
Example 2.4.6 A series of tests on a certain type of electrical relay, have revealed that in approximately 5% of the trials, the relay fails to operate under the specified conditions. What is the probability that in ten trials made under these conditions the relay will fail to operate one or more times?
Question 2: A. A table of joint probabilities is shown below. A1 A2 Аз B1 0.15 0.25 0.20 B2 0.10 0.15 0.15 Page 1 of 6 a. Calculate the marginal probabilities of event A b. Calculate the marginal probabilities of event B c. Calculate P(A1 | B1) d. Calculate P(B1 | A1) e. Calculate P(B1 | B2) f. Calculate P(A1 | A3) g. Calculate P(A1 U B1)
Answer question 8.1
*Question Six* The management of a supermarket wants to adopt a new promotional policy of giving free gift to every customer who spends more than a certain amount per visit at this supermarket. The expectation of the management is that after this promotional policy is advertised, the expenditure for all customers at this supermarket will be normally distributed with mean 400 £ and a variance of 900 £2. What is the probability that the expenditure of the first customer exceeds the expenditure of the second customer by at least 20 £?
QUESTION 3 A large chain retailer purchases a certain kind of electronic device from a manufacturer. The manufacturer indicates that the defective rate of the device is 10%. If the inspector of the retailer randomly picks 18 items from a shipment, the probability that there will be at least one defective item among these 18 items is O 0.5497 O 0.1501 O 0.4503 O 0.8499 lick Save and Submit to save and submit. Click Save All Answers to save all answers.
Question 1 [25]In a survey conducted among a random sample of students the following observations were made regarding their gender and learning environment preferences during the COVID-19 pandemic:168 prefer online learning202 prefer face to face learning180 prefer blended learning34 male students prefer online learning and 70 male students prefer blended learning106 female students prefer face to face learningd) If it’s known that the student is female, what is the probability that this student prefers online learning.e) Using a practical example, explain the difference between mutually exclusive events and independent events.
a. A researcher studied the effect of social influence on drinking behaviour. Sixty people were randomly assigned to one of three conditions where they were given a soft drink to consume while waiting for the experiment to supposedly begin. An experimental assistant, posing as another participant, was also given a drink. In one condition, the assistant sipped the drink at a faster rate than the research participant; in another condition, the assistant sipped the drink at the same rate as the participant; and in the last condition, the assistant sipped the drink at a slower rate than the participant. The time it took each participant to consume his or her drink was measured.
Example 4.2:- As shown in the table below that gives the age distribution of companies. Find the following probabilities: 1-Ages (30-39). 2-Age=45. 3-Age>50. 4-Age<40. individuals starting new 30 - 39 40- 49 50-59 60 - 69 Age Frequency 20 - 29 11 25 14 3
Question 4 Suppose that in a population of twins, males (M) and females (F) are equally likely to occur and that the probability that twins are identical is 0. If twins are not identical, their genders are independent (if they are identical, their genders are the same). (i) Show that, ignoring birth order, P(MM) = P(FF) = (1+0)/4 and P(MF) = (1–0)/2. (ii) Suppose that n twins are sampled. It is found that n₁ are MM, n2 are FF, and në are MF, but it is not known which twins are identical. Find the maximum likelihood estimator of 0.
QUESTION 2 Suppose that the proportions of blood phenotypes in a particular population are as follows: A AB 10 44 .42 .10 04 Assuming that the phenotypes of two randomly selected individuals are independent of one another, What is the probability that the phenotypes of two randomly selected individuals match?

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