You flip a coin 25 times. Let X; be the Bernoulli random variable indicatingif the i-th coin flip lands on a head.1,X; =| 0, otherwise.if the i-th coin flip lands on a head,Assume that the probability of each coin flip landing on a head is 0.5, and that the 25coin flips are independent.(a) Are X1, X2, ..., X25 i.i.d. (independent and identically distributed)? Briefly explain.(b) Find the expected value ofX1 + X, + .…+X25...25(c) Find the variance of X. (Hint: first compute the variance of X¡.)

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Answered: You flip a coin 25 times. Let X; be the…

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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Oliver has a bag that contains pineapple chews, lemon chews, and peach chews. He performs an experiment. Oliver randomly removes a chew from the bag, records the result, and returns the chew to the bag. Oliver performs the experiment 23 times. The results are shown below: A pineapple chew was selected 17 times. A lemon chew was selected 4 times. A peach chew was selected 2 times. Based on these results, express the probability that the next chew Oliver removes from the bag will be peach chew as a percent to the nearest whole number.
A data form asks for applicants' birth dates in the form mm/dd/yyyy. Find the probability that the number made up of the first two digits on a form is greater than 00.
A jar contains 16 coins: 8 pennies, 5 nickels and 3 dimes. A child selects 2 coins at random without replacement from the jar. Let XX be the sum of the value of the 2 coins. Determine the probability distribution of XX. Please enter the values for xx in increasing order. Please enter the values for p(x)p(x) as a number rounded to four decimal places.
Find values of n, x, p and q. DO NOT SOLVE based on American Chemicsl Society, there is a 0.9 probability that in the United States, a randomly selected dollar bill is tainted with traces of cocaine. Assume 8 dollar bills are randomly selected. Find the probability that at least 5 of them have traces of cocaine
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A study conducted at a certain college shows that 54% of the school's graduates move to a different state after graduating. Find the probability that among 5 randomly selected graduates, at least one moves to a different state after graduating. Round to three decimal places as needed. А. 0.200 В. 0.540 C. 0.979 D. 0.954
The flight from Greenville to Charlotte can take anywhere from 43 minutes to 68 minutes. Suppose the random flying times, X, are uniform from 43 to 68 minutes. What is the probability a flight last longer than 59? or P(X>59) Do not round.
40% of consumers believe that cash will be obsolete in the next 20 years. Assume that 6 consumers are randomly selected. Find the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years. The probability is (Round to three decimal places as needed.) ...
A student is working on a homework assignment with 5 questions. Each question on the assignment has 3 possible choices, which the student chooses from at random. Assuming that the answers are independent of each other, what is the probability that the student answers all the questions correctly? Report your answer to the 4th decimal place, that is, 0.0025 instead of 0.003.
A large bag contains pretzels with 3 different shapes: heart, square, circle . Billy plans to reach into the bag and draw out one pretzel at a time, stopping only when he has at least one pretzel of each type. Let the random variable X denote the number of pretzels that Billy will draw from the bag. You can assume that there is an infinite number of pretzels in the bag with equal proportions of each shape. Find E(X).
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The probability that a randomly selected student from a college is a senior is .20, and the joint probability that the student is a computer science major and a senior is .03. Find the condi- tional probability that a student selected at random is a computer science major given that the student is a senior.

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