A quart of milk contains a mean of 26 g of butterfat, with a standard deviation of 2 g. If the butterfat is normally distributed, find the probability that a quart of this brand of milk chosen at random will contain the following. (Round your answers to four decimal places.) (a) between 26 and 30g of butterfat (b) between 21 and 26 g of butterfat

A quart of milk contains a mean of 26 g of butterfat, with a standard deviation of 2 g. If the butterfat is normally distributed, find the probability that a quart of this brand of milk chosen at random will contain the following. (Round your answers to four decimal places.) (a) between 26 and 30g of butterfat (b) between 21 and 26 g of butterfat

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...

See similar textbooks

Similar questions

Find the mean and standard deviation of the waiting time for counter A and B.
The average American man consumes 9.6 grams of sodium each day. Suppose that the sodium consumption of American men is normally distributed with a standard deviation of 0.8 grams. Suppose an American man is randomly chosen. Let X = the amount of sodium consumed. Round all numeric answers to 4 decimal places where possible. b. Find the probability that this American man consumes between 9.3 and 9.9 grams of sodium per day. c. The middle 10% of American men consume between what two weights of sodium?Low: High:
Assume that adults have IQ scores that are normally distributed with a mean of u= 100 and a standard deviation g= 15. Find the probability that a randomly selected adult has an IQ less than 118. 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 less than 118 is (Type an integer or decimal rounded to four decimal places as needed.)
Assume that blood pressure readings are normally distributed with a mean of 124 and a standard deviation of 4.8. If 36 people are randomly selected, find the probability that their mean blood pressure will be less than 126. OA. 0.8615 OB. 0.8819 OC. 0.0062 O D. 0.9938 C...
Today, the waves are crashing onto the beach every 4.5 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 4.5 seconds. Round to 4 decimal places where possible. a. The mean of this distribution is b. The standard deviation is c. The probability that wave will crash onto the beach exactly 1.7 seconds after the person arrives is P(x = 1.7) = d. The probability that the wave will crash onto the beach between 1.5 and 3.9 seconds after the person arrives is P(1.5 1) = f. Find the maximum for the lower quartile. seconds.
The IQ's in a certain population are normally distributed with a mean score of 104 and a standard deviation of 14. If we select a person at random from this population, find the probability that their IQ will be: 1. Find the 67th percentile of IQ's in this population. 2. Find the 20 The percentile of IQ's in this population 3. Find the IQR of IQ's in this population.
Today, the waves are crashing onto the beach every 5.6 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 5.6 seconds. Round to 4 decimal places where possible. a. The mean of this distribution is b. The standard deviation is c. The probability that wave will crash onto the beach exactly 0.7 seconds after the person arrives is P(x = 0.7) = d. The probability that the wave will crash the beach between 1.6 and 5.1 seconds after the person arrives is P(1.6 3.72) = f. Suppose that the person has already been standing at the shoreline for 0.8 seconds without a wave crashing in. Find the probability that it will take between 1.4 and 3.3 seconds for the wave to crash onto the shoreline. g. 65% of the time a person will wait at least how long before the wave crashes in? seconds. h. Find the minimum for the upper quartile. seconds.
Today, the waves are crashing onto the beach every 4.1 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 4.1 seconds. Round to 4 decimal places where possible. a. The mean of this distribution is b. The standard deviation is C. The probability that wave will crash onto the beach exactly 2.8 seconds after the person arrives is P(x = 2.8) = d. The probability that the wave will crash onto the beach between 0.4 and 1.9 seconds after the person arrives is P(0.4 0.82) = f. Suppose that the person has already been standing at the shoreline for 0.5 seconds without a wave crashing in. Find the probability that it will take between 1 and 4 seconds for the wave to crash onto the shoreline. g. 26% of the time a person will wait at least how long before the wave crashes in? seconds. h. Find the maximum for the lower quartile. seconds.
The percent of fat calories that a person consumes each day is normally distributed with a mean of about 35 and a standard deviation of about ten. Suppose that 9 individuals are randomly chosen. Let X = average percent of fat calories. For the group of 9, find the probability that the average percent of fat calories consumed is more than six. (Round your answer to four decimal places.)
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.
benk is 9.2 minutes with a standard deviation of The average waiting time for a drive in 2.6 minutes. Assume that the times A. Determine the probability, to 3 decimal places, t ustomer will have to wait less than 6 minutes. B. 20% of all customers will have to wait more than minutes. Round to 1 decimal place.
Suppose baby kittens' weights are normally distributed with a mean of 11.4 and a standard deviation of 2.1. The Z-score tells you how many units above the average (if Z-score is positive) or below the average (if Z- Score is negative) any particular baby kitten's weight is. Find the baby kitten weight that corresponds to the following Z-scores. Use the formula Z where u is the mean, o is the standard deviation, and X is the baby kitten weight. a. Z = = 0.07, X = b. Z = 1.63, X =