Q2: The diameter of the dot produced by a printer isnormally distributed with a mean diameter of 0.002 inchand a standard deviation of 0.0004 inch.(a) What is the probability that the diameter of a dotexceeds 0.0026?(b) What is the probability that a diameter is between0.0014 and 0.0026?(c) What standard deviation of diameters is needed so thatthe probability in part (b) is 0.995?

Given : Diameter of the dot is normally distributed with mean 0.002 and standard deviation 0.0004

Answered: Q2: The diameter of the dot produced by…

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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Similar questions

The heights of river birch trees are normally distributed with a mean of 92.3 inches and a standard deviation of 4.1 inches. (d) What is the probability of a birch tree having a height that differs from the mean by at most 1 inch? Round answers to four decimal places.
A student's commute to school is normally distributed with a mean of 29 min and a standard deviation of 4 min. What is the probability that the student gets to school in 21 to 29 min? (Round your answer to one decimal place.)
The amount of time between taking a pain reliever and getting relief is normally distributed with a mean of 23 minutes and a standard deviation of 3 minutes. Find the probability that the time between taking the medication and getting relief is as follows. (Round your answers to four decimal places.) (a) at least 29 minutes(b) at most 19 minutes
The reading speed of second grade students in a large city is approximately normal, with a mean of 89 words per minute (wpm) and a standard deviation of 10 wpm. Complete parts (a) through (f). (a) What is the probability a randomly selected student in the city will read more than 95 words per minute? The probability isO (Round to four decimal places as needed.)
A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 258.1 cm and a standard deviation of 0.5 cm. For shipment, 14 steel rods are bundled together.Find the probability that the average length of a randomly selected bundle of steel rods is between 257.8 cm and 258.4 cm.P(257.8 cm < x¯ < 258.4 cm) = Enter your answer as a number accurate to 4 decimal places. Answers should be obtained using z-scores correct to two decimal places.
The average THC content of marijuana sold on the street is 10.3%. Suppose the THC content is normally distributed with standard deviation of 2%. Let X be the THC content for a randomly selected bag of marijuana that is sold on the street. Round all answers to 4 decimal places where possible a. What is the distribution of X? X ~ N(___,___) b. Find the probability that a randomly selected bag of marijuana sold on the street will have a THC content greater than 12.3. c. Find the 62nd percentile for this distribution.
The time taken by employees at Grace Floral shop to put a bouquet together has a normal distribution with mean 26.4 minutes and standard deviation .8 minutes. (i) Find the probability that an employee chosen at random takes between 24.6 and 27.8 minutes to put a bouquet together. [5] (ii) 12% of employees take more than t minutes to put a bouquet together. (ii) Find the value of t.
The physical fitness of an athlete is often measured by how much oxygen the athlete takes in (which is recorded in milliliters per kilogram, ml/kg). The mean maximum oxygen uptake for elite athletes has been found to be 65 with a standard deviation of 10. Assume that the distribution is approximately normal. (a) What is the probability that an elite athlete has a maximum oxygen uptake of at least 50 ml/kg? answer: (b) What is the probability that an elite athlete has a maximum oxygen uptake of 60 ml/kg or lower? answer: (c) Consider someone with a maximum oxygen uptake of 31 ml/kg. Is it likely that this person is an elite athlete? Write "YES" or "NO." answer:
Attendance at large exhibition shows in Denver averages about 8100 people per day, with standard deviation of about 525. Assume that the daily attendance figures follow a normal distribution. (Round your answers to four decimal places.) (a) What is the probability that the daily attendance will be fewer than 7200 people? (b) What is the probability that the daily attendance will be more than 8900 people? (c) What is the probability that the daily attendance will be between 7200 and 8900 people?

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