The amount of time that adrive-through bank teller spends on a customer is a randomvariable with a mean u = 3.2 minutes and a standard deviation = 1.6 minutes. Arandom sample of 64 customers is observed.(a) State the central Limit theorem;(b) Find the probability that their mean time at the teller's counter is more than 3.5minutes:Note that F(1.5) = ¹.5dx=0.9332

Given that Population mean =3.2 minutes Standard deviation =1.6 minutes We have to find a...State…

Answered: The amount of time that a drive-through…

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 daily return of a certain stock is normally distributed with a mean of 0.20% and a standard deviation of 2.50%. a. Find the probability that the return on a randomly selected day is negative. State the Excel function (specifying all inputs) that will compute this probability.
The football coach randomly selected fifteen players and timed how long each player took to perform a certain drill. The times (in minutes) were: 3.5, 3.3, 3.2, 4.7, 4.4, 3.5, 3.9, 4.5, 4.8, 5.2, 5.4, 4.0, 4.3, 4.1, 5.1 (a) Show that this data approximates a normal distribution. (b) Determine a 90% confidence interval for the mean time for all players.
The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful life (150,000150,000 miles of driving) of cars of a particular model varies Normally with mean 8080 mg/mi and standard deviation 66 mg/mi. A company has 1616 cars of this model in its fleet. Using Table A, find the level ?L such that the probability that the average NOX + NMOG level ?¯x¯ for the fleet greater than ?L is only 0.030.03 ? (Enter your answer rounded to three decimal places. If you are using CrunchIt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision settings.)
The monthly utility bills in a city are normally distributed, with a mean of $100 and a standard deviation of $13. Find the probability that a randomly selected utility bill is (a) less than $69, (b) between $85 and $120, and (c) more than $130.
The average amount of money spent for lunch per person in the college cafeteria is $6.24 and the standard deviation is $2.05. Suppose that 6 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible.For the group of 6 patrons, find the probability that the average lunch cost is between $6.2647 and $7.3532.
A certain city the Transportation Authority (CTA) has trollies leaving regularly throughout the day beginning at 5:00 a.m. Although the length of a trip and the number of stops are constant, the time taken for each trip varies due to weather, traffic, and time of the day. According to the CTA, the mean time taken for the trip is 50 minutes. Suppose the travel time is Normally distributed with standard deviation o = 4 minutes. A random sample of 25 trips is obtained, and the time for each is recorded. Find the probability that the sample mean time will be less than 48 minutes.
A production line in a factory, assembles laptops. A random sample of assembly time of 36 laptops has been drawn from this factory. Suppose, the population distribution has a mean assembly time of 25 minutes and standard deviation 6 minutes. What is the probability that a sample mean is 26 minutes? Select one: a. 0.0 b. =P(Z>1) c. =P(Z=0) d. =P(Z<1) e. None of the others
A certain brand of automobile tire has a life expectancy that is normally distributed with a mean of µ= 20000 miles and standard deviation of o= 2500miles. What is the probability that a randomly chosen tire will last for 20000 miles or more? Select one: a. 0.1047 O b. 0.5 O c. 0.1784 O d. 0.1064
The monthly utility bills in a city are normally distributed, with a mean of $100 and a standard deviation of $13. Find the probability that a randomly selected utility bill is (a) less than $69, (b) between $87 and $100,and (c) more than $130.
The probability is 0.02 that an item produced by a factory isdefective. A shipment of 10,000 items is sent to its warehouse. Find the expectednumber of defective items and the standard deviation.
Let X represent the full height of a certain species of tree. Assume that X has a normal distribution with a mean of 115.4 ft and a standard deviation of 8.2 ft. A tree of this type grows in my backyard, and it stands 103.9 feet tall. Find the probability that the height of a randomly selected tree is as tall as mine or shorter. My neighbor also has a tree of this type growing in her backyard, but hers stands 119.5 feet tall. Find the nrobability that the ful height of a randomly selected tree is at least as tall as hers. Enter your answers as decimals accurate to 4 decimal places.

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