The GPAS of all students enrolled at a large university have an approximately normal distribution with a mean of 3.02 and astandard deviation of 0.29. Find the probability that the mean GPA of a random sample of 20 students selected from this universityis 2.90 or lower.Round your answer to four decimal places.P(x < 2.90) =i

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Answered: The GPAS of all students enrolled at 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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Assume that adults have IQ scores that are normally distributed with a mean of m = 105 and a standard deviation s =15. Find the probability that a randomly selected adult has an IQ between 91 and 119. The probability that a randomly selected adult has an IQ between 91 and 119 is ____.
Assume that adults have IQ scores that are normally distributed with a mean of 95.3 and a standard deviation of 16.4. Find the probability that a randomly selected adult has an IQ greater than 125.0. (Hint: Draw a graph.) The probability that a randomly selected adult from this group has an IQ greater than 125.0 is ☐ . (Round to four decimal places as needed.)
Suppose that the weight of an newborn fawn is Uniformly distributed between 2.2 and 3.9 kg. Suppose that a newborn fawn is randomly selected. Round answers to 4 decimal places when possible. The mean of this distribution is . The standard deviation is . The probability that fawn will weigh exactly 2.5 kg is P(x=2.5)=P(x=2.5)= . The probability that a newborn fawn will be weigh between 2.6 kg and 3.7 kg is P(2.6<x<3.7)=P(2.6<x<3.7)= . The probability that a newborn fawn will be weigh more than 3.24 kg is P(x>3.24)=P(x>3.24)= . P(x>2.8∣x<3.3)=P(x>2.8∣x<3.3)= . Find the 45th percentile. kg
The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.948 grams and a standard deviation of 0.291 grams. Find the probability of randomly selecting a cigarette with 0.482 grams of nicotine or less. Round your answer to four decimals.P(X< 0.482)=
The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.885 grams and a standard deviation of 0.319 grams. Find the probability of randomly selecting a cigarette with 0.407 grams of nicotine or less. Round your answer to four decimals. P(X < 0.407) =
The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.974 grams and a standard deviation of 0.308 grams. Find the probability of randomly selecting a cigarette with 0.697 grams of nicotine or less. Round your answer to four decimals. P(X<0.697)=
The random variable x represents the number of boys in a family of three children. Assuming that boys and girls are equally likely, find the mean and standard deviation for the random variable x. X P(x) 0 0.125 1 0.375 2 0.375 3 0.125 O A. mean: 1.50; standard deviation: 0.87 OB. mean: 1.50; standard deviation: 0.76 O C. mean: 2.25; standard deviation: 0.87 O D. mean: 2.25; standard deviation: 0.76 C
Assume that adults have IQ scores that are normally distributed with a mean of mu equals 100 and a standard deviation sigma equals 20 . Find the probability that a randomly selected adult has an IQ less than 95 a. Find the z-score: z = nothing (round to 2 decimal places) b. Find the probability: nothing (use 4 decimal places)
Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find the probability of a bone density test score between -1.96 and 1.96. The probability is _____ (Round to four decimal places as needed.)
Assume that thermometer readings are normally distributed with a mean of 0 degreesC and a standard deviation of 1.00degreesC. A thermometer is randomly selected and tested. For the case below, draw a sketch, and find the probability of the reading. (The given values are in Celsius degrees.) Between 0.50 and 2.00
Chebyshev's Theorem states that for any distribution of numerical data, at least 1-1/k? of the numbers lie within The percent of numbers between 88 and 112 is at least %. k standard deviations of the mean. (Round to the nearest hundredth as needed.) In a certain distribution of numbers, the mean is 100, with a standard deviation of 6. Use Chebyshev's Theorem to tell what percent of the numbers are between 88 and 112.
Assume that adults have IQ scores that are normally distributed with a mean of µ = 105 and a standard deviation o = 20. Find the probability that a randomly selected adult has an IQ between 85 and 125. Click to view page 1 of the table. Click to view page 2 of the table. ... The probability that a randomly selected adult has an IQ between 85 and 125 is (Type an integer or decimal rounded to four decimal places as needed.)

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