The amount of coffee poured from a dispenser into a glass obeys the normal law whose average is 300 mL and the deviation type 5 mL. a) What proportion of the glasses of coffee served by this dispenser contain less than 292 mL of coffee? b) If the glasses have a maximum capacity of 310 mL, what proportion of glasses overflowing when used with this distributor? c) What should be the capacity of the glasses so that only 1% of them overflow when used? with this distributor?

The amount of coffee poured from a dispenser into a glass obeys the normal law whose average is 300 mL and the deviation type 5 mL. a) What proportion of the glasses of coffee served by this dispenser contain less than 292 mL of coffee? b) If the glasses have a maximum capacity of 310 mL, what proportion of glasses overflowing when used with this distributor? c) What should be the capacity of the glasses so that only 1% of them overflow when used? with this distributor?

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

(c) Assume that the resist ance of a cert ain type of resistors is normally distributed with a mean of 250 ohms and a st and ard deviat ion of 15 ohms. What percent age of the resistors of this type will have a resistance above 270 ohms?
The following table shows the price (in RM) and quantity (in kg) of four different items bought by 'Aleesya Coffee House' from 2008 to 2011: 2009 2011 Items Price Quantity (kg) Quantity (kg) Price (RM) (RM) Rice 8.20 210 9.15 280 Wheat 2.30 120 2.20 95 Sugar 1.30 550 1.65 550 Coffee 0.85 58 1.00 65 Calculate the Simple Average Quantity Index in 2011 compare to 2009 Select one: a. 122.53 b. 106.14 c. 113.75 d. 123.55
An article discussed the opening of a Market. The following data compared the prices of some kitchen staples at the new Market (group 1) and at the old Market (group 2) located 15 blocks away. ITEM GROUP 1 GROUP 2 HALF GALLON MILK 16.8 22.0 DOZEN EGGS 11.7 15.2 ORANGE JUICE (64OZ) 15.6 18.7 HEAD OF LETTUCE 16.7 15.6 1LB GROUND BEEF 17.5 20.8 6OZ TUNA 18.1 19.5 1LB APPLES 14.1 17.0 LINGUINI 21.8 19.5 SALMON STEAK 1LB 13.9 16.5 WHOLE CHICKEN PER LB 20.8 24.0 A. Using a 0.01 level of signifcance and the p-value approach, what is the p-value? And what is your conclusion? Interpret
Four machines M - Mawere each made with three different components B - Bg fitted. The average production capacities [kg / h] of the machines were determined for each component during a test phase. The following values were measured: machine 3 4th B 7.07 8.24 8.43 9.2 B2 9.1 7.98 8.87 8.11 6.07 7th 5.98 6.36 Determine whether there are significant differences in terms of components or machines and calculate the effect sizes, Normal distribution with the same variance can be assumed. Note: q = 14.9477, 1 = 11.0648, 9a =3.5125 Name of the test procedure: O One-way analysis of variance Ot-test for independent samples with homogeneous variances O Two-factor analysis of variance with repeated measures O Two-factor analysis of variance without repetition of measurements Significance level: O 0.5 O 0.05 O 0.01 Overall hypothesis H: O There are no significant differences in terms of components and machines O There are no significant differences in terms of components or machines O There are no…
It is known that the mean of blood pressure values in a population is 130mmHg, and the standard value is 25mmHg, with a normal distribution. What is the percentage of people whose blood pressure is between 110-140 mmHg? 24 - a) 34.99 O B) 23.55 O C) 50.61 O D) 41.58 O TO) 44.35
4. A new method for cholesterol utilizing 4 - aminoantipyrine was evaluated in the laboratory. The procedure was run in on 20 separate days. The following values are given: Mean = 150 mg/dl Sum of the squared difference from the mean is 3600 Calculate the SD.
Find the area above 29 for a N(15,5) distribution
The area beneath the normal density curve is separated into three regions by the values a and b. Set the mean of the normal density curve to 4.00, the standard deviation to 0.33, the z-value of a to -3.03 and the z-value of b to be 3.03. determine the area to the left of a, the area between a and b, and the area to the right of b.
The distribution of weights for 12-month-old baby boys in the US is approximately normal with mean u = 22.5 pounds and standard deviation o = 2.2 pounds. a) If a 12-month-old boy weighs 20.3 pounds, approximately what weight percentile is he in? b) If a 12-month-old boy is in the 84th percentile in weight, estimate his weight. c) Estimate the weight of a 12-month-old boy who is in the 25th percentile by weight. d) Estimate the weight of a 12-month-old boy who is in the 75th percentile by weight.
Given the z-score value z = -0.12 and z = 2.63 (under normal curve) A. Find the area of z = -0.12 B. Find the area of z = 2.63 C. Find the area between z = -0.12 and z = 2.63
iDENTIFY THE TYPE AND LEVEL OF MEASUREMENT OF THE FOLLOWING VARIABLES gender - either male or female runtime - time to run 1.5 miles (in min) age - age of the gym member in years weight - weight of the gym member (in kg) oxygen consumption - measure of the ability to use oxygen in the blood stream (in ml/min) rest pulse - resting pulse rate (in bpm) maximum pulse - maximum pulse rate during the run (in bpm)
For a certain type of computers, the length of time between charges of the battery is normally distributed with a mean of 50 hours and a standard deviation of 15 hours. Write down the function, draw bell-shaped curve & calculate the: a)Area between 50 and 70 hours. b)Area above 40 hours. c)X value that has 28% area above it. d)X value that has 60% area below it.