Example: Grade distributions might be well suited to be described as a Beta distribution. Let's saythat we are given a set of student grades for a single exam and we find that it is best fit by a Betadistribution: X~beta(a=8.28,B=3.16). What is the probability that a student is below themean (i.e. expectation)?The

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Answered: Example: Grade distributions might be…

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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#7 Part d
Rochester, New York, averagesµ = 21.9 inches of snow for the month of December. The distribution of snowfall amounts is approximately normal with a standard deviation of σ =6.5 This year, a local jewelry store is advertising a refund of 50% off of all purchases made in December, if Rochester finishes the month with more than 3 feet (36 inches) of total snowfall. What is the probability that the jewelry store will have to pay off on its promise?
A reference states that average daily high temperature in June in a particular city is 86°F with a standard deviation of 7, and it can be assumed that they to follow a normal distribution. We use the following equation to convert "F (Fahrenheit) to "C(Celsius) C-(F-32)=² (a) Write the probability model for the distribution of temperature in C in June in this city. (Round your standard deviation to four decimal places) ~~-[ (b) What is the probability of observing a 31°C (which roughly corresponds to 87.) temperature or higher a a randemily selected day in June in this city? Calculate using the "C model from part (a). (Round your answer to four decimal places.) (c) The probability of observing a 67.8°F temperature or higher on a randomly selected day in June this city is approximately 0.3983, Did you get the same answer or a different answer in part (b)? Are you surprised? Explain. Both sets of calculations produced approximately the same answer which isn't surprising since once we…
b and c part
Just need help getting started on these
help me answer a,b, and c
Q4. Researchers developed a "dog IQ test" and find that the population of dogs in the United States has a mean score of µ = 20 on this test with a standard deviation of σ = 2. You decide to test a sample of n = 40 dogs to do some research about whether some breeds are smarter. You decide to first test your own dog (or your closest friend's or family member's, if you don't have one). What is the probability that your dog will score an "dog IQ" greater than 25 (which is the cut-off for "Doggie Genius")?
Pls help me with these 2 part: Researchers at a reputable university and a reputable health organization claim that approximately 73% % of people believe "tranquilizers work very well to make a person more calm and relaxed." Of the next 85 people interviewed, what is the probability that (a) at least 51 are of this opinion? (b) at most 59 are of this opinion?
You are playing a card came, and the probability that you will win a game is p = 0.73. If you play the game 1412 times, what is the most likely number of wins? (Round answer to one decimal place.) Let X represent the number of games (out of 1412) that you win. Find the standard deviation for the probability distribution of X. (Round answer to two decimal places.) O = The range rule of thumb specifies that the minimum usual value for a random variable is u-2o and the maximum usual value is p+2o. You already found u and o for the random variable X. Use the range rule of thumb to find the usual range of X values. Enter answer as an interval using square- brackets and only whole numbers. usual values =
just b, c and d please thank you!
Illustraiion 17.34. Mean of a distribution is 2.0. What are the probabilities corresponding to various successes 0, 1, 2,.., assuming that the Poisson distribution explains the data. If the total frequency
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