2. A fastíood chain's softdink machine is calibeated so that it disperses an avernge of 225millilitres per eup The amount of drink is noemally distrbuted with a standared deviation equalto 15 mllilites• a. What is the probability that a cup will contain more than 242 militers?• b What is the probabiity that a cup contains betwren 202 and 215 milliliters?

The standardize value provide the number of observations deviation from the mean. It is also known…

Answered: 2. A fastíood chain' softdink machine…

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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The lifetimes of a particular lightbulb are known to be normally distributed with a mean life of 250 hours and a standard deviation of 30 hours. A department store installs 3200 of these lightbulbs in its store. How many of the lightbulbs in this store would you expect to burn out in less than 200 hours? Round your answer to the nearest whole number. The expected number of light bulbs is Blank 1. Calculate the answer by read surrounding text.
The number of ants per acre in the forest is normally distributed with mean 42,000 and standard deviation 12,469. Let X = number of ants in a randomly selected acre of the forest. Round all answers to 4 decimal places where possible. PLEASE ROUND TO 4 DECIMAL PLACES THANK YOU! B. Find the probability that a randomly selected acre in the forest has fewer than 52,999 ants. c. Find the probability that a randomly selected acre has between 34,368 and 46,431 ants. d. Find the first quartile. ants (round your answer to a whole number)
9. 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. Find the probability that a given score is less than -0.98 and draw a sketch of the region.
The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2967 and standard deviation 539. One randomly selected customer is observed to see how many calories X that customer consumes. Round all answers to 4 decimal places where possible.b. Find the probability that the customer consumes less than 2600 calories. c. What proportion of the customers consume over 3342 calories? d. The Piggy award will given out to the 2% of customers who consume the most calories. What is the fewest number of calories a person must consume to receive the Piggy award? calories. (Round to the nearest calorie)
Suppose 90 geology students measure the mass oven or sample. Due to human error in limitations in the reliability of the balance, not all the readings are equal. The results are found to closely approximate a normal curve, with mean 86 g and standard deviation 1 g. Use the symmetry of the normal curve and the empirical rule as needed to estimate the number of students reporting readings more than 86 g
6. The mean weight of 200 people is 67kg and the standard deviation is 7kg. Assuming thatthe weights are normally distributed, determine how many people have a weighta. between 60 and 74 kgb. more than 81 kgc. between 53 and 88 kg
31)
An airliner carries 300 passengers and has doors with a height of 78 in. Heights of men are normally distributed with a mean of 69.0 in and a standard deviation of 2.8 in. Complete parts (a) through (d). a. If a male passenger is randomly selected, find the probability that he can fit through the doorway without bending. The probability is 0.9993. (Round to four decimal places as needed.) b. If half of the 300 passengers are men, find the probability that the mean height of the 150 men is less than 78 in. The probability is (Round to four decimal places as needed.)
A population has a normal distribution with a mean of 32.9 and a standard deviation of 35.2. Draw 4. a normal curve with labels, shading, and what you entered into the calculator for full credit. Round your answer to 4 decimal places. Find the probability that a randomly selected item is between 27.5 and 40.6 a) Find the probability that a sample size of 25 is randomly selected and is less than 28.2. b)
A variable is normally distributed with mean 39 and standard deviation 13. Use the Cumulative Z-Score Table to answer the following questions. Write your answers in decimal form using 4 decimal places. a) Find the area under the normal curve to the left of the data value 62.4. b) Find the area under the normal curve to the left of the data value 66,3. c) Find the area under the normal curve to the right of the data. value 51.35. d) Find the area under the normal curve to the right of the date value 43.55. e) Find the area under the normal curve between the data values 43.55 and 66.3.
4. The specification of the melting point of an alloy is 1200 degrees Celsius. If the melting point differs from this by more than 20 degrees, the composition of the alloy will have to be changed. Assume the melting point is normally distributed with standard deviation 35 degrees. A sample of 25 alloys were obtained and the average melting point were 1224 degrees. By using a = 0.01, determine whether the composition of the alloy will have to be changed? UTM UTM
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