A vending machine automatically pours soft drinks into cups. The amount of soft drink dispensed into a cup is normally distributed with a mean of 7.6 ounces and standard deviation of 0.4 ounce. Examine the figure below and answer the following questions. (a) Estimate the probability that the machine will overflow an 8-ounce cup. (Round your answer to two decimal places.) (b) Estimate the probability that the machine will not overflow an 8-ounce cup. (Round your answer to two decimal places.) (c) The machine has just been loaded with 825 cups. How many of these cups do you expect will overflow when served? cups

A vending machine automatically pours soft drinks into cups. The amount of soft drink dispensed into a cup is normally distributed with a mean of 7.6 ounces and standard deviation of 0.4 ounce. Examine the figure below and answer the following questions. (a) Estimate the probability that the machine will overflow an 8-ounce cup. (Round your answer to two decimal places.) (b) Estimate the probability that the machine will not overflow an 8-ounce cup. (Round your answer to two decimal places.) (c) The machine has just been loaded with 825 cups. How many of these cups do you expect will overflow when served? cups

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.6: Quadratic Functions

Problem 38E

See similar textbooks

Similar questions

2.What is the area under the normal curve below the z-score of 1? GeoGebra Graphing Calculator A.0.84 B.0.34 C.0.95 D.0.68
What is the area below the standard normal curve to the right of 1.28? a. -0.1 b. -0.9 c. 0.1 d. 0.9 The area below the standard normal density curve to the right of a z-value is 0.8315. What is that z-value? a. -0.96 b. 0.04 c. 0.96 d. -0.04 What z-value corresponds to the 15th percentile? a. -1.04 b. 1.04 c. 0.56 d. 0.44
heat boundry value PDE
Example 2: For each part below, find the endpoints on a standard normal density (curves have X~N(0,1) ). The area to the left of the endpoint is about 0.20. The area between ± z is 0.80. The area to the right of the endpoint is 0.4
normally distributed population has a*mu = 30 and sigma = 2.5 the find the area under the curve for the following values : p(28.4 < X < 31)
Also find : Test Statistics, z Find the P value at alpha =0.05
Sulfur dioxide (SO2) pollution is a known cause for corrosion of exposed steel. To document this effect in actual conditions, steel weight loss (gm/m3/yr) was measured at 36 locations in a large city, along with the rate at which SO2 was deposited (mg/m2/day). Perform a two-sided test of H0: ρ = 0.800, with α = 0.01. SO2 Loss 22.6 580 26.1 563 19.1 339 17.2 346 25 623 16.8 420 42.7 951 30.4 794 17.9 461 30.4 757 27.8 573 27.8 656 33 990 14.2 551 37.4 856 16.2 443 27.7 802 22.7 657 21 495 15.8 496 13.7 353 24.7 724 23.7 602 30.7 639 33.5 813 30.2 770 20.1 556 22.8 557 39.9 1001 15.5 432 40.4 940 27.9 687 39.4 919 25.1 590 28.6 640 29.7 702
A. The approximate standard deviation for the area under a gaussian curve for a population in the figure is .........
Find the area under the normal curve between z = 0.42 and z = 1.32. Round the answer to four decimal places. The area under the normal curve between z = 0.42 and z = 1.32 is_____ .
Electromagnetic technologies offer effective nondestructive sensing techniques for determining characteristics of pavement. The propagation of electromagnetic waves through the material depends on its dielectric properties. The following data, kindly provided by the authors of the article "Dielectric Modeling of Asphalt Mixtures and Relationship with Density," was used to relate y = dielectric constant to x = air void (%) for 18 samples having 5% asphalt content. x 4.35 4.75 5.57 5.20 5.07 5.79 5.36 6.40 5.66 5.90 6.49 5.70 6.49 6.37 6.51 7.88 6.74 7.14 y 4.55 4.49 4.50 4.47 4.48 4.45 4.40 4.34 4.43 4.43 4.42 4.40 4.35 4.44 4.40 4.26 4.32 4.34 Suppose it had previously been believed that when air void increased by 1 percent, the associated true average change in dielectric constant would be less than -0.064. Does the sample data support this belief? Carry out a test of appropriate hypotheses using a significance level of 0.05. State the appropriate null and alternative…
An experiment has been conducted to investigate the effects of carbon monixide in the breathing capability of human. The claim was breathing frequency is higher in the presence of CO. The data shows the result of the experiment (see picture). Assume that the breathing frequency is approximately normal. a) What should be the good hypotheses for this problem? b) At 0.05 level, what is the critical region? c) What is the t-value/z-score? d) Is the claim true at 0.05 level?
What is the area below the standard normal density curve on the right of 0.24? a.-0.4052 b. 0.4052 c.-0.5948 d. 0.5948 The area on the left of a z-value below the standard normal density curve is 0.33. What is this z-value? a.-0.3703 b.0.44 c.-0.44 d.0.6293