**Normal Distribution**A radar unit is used to measure speeds of cars on a highway. The speeds are normally distributed with a mean of 75 mph and a standard deviation of 10.5 mph.Suppose that a driver will get a ticket for reckless driving if they are more than 1.95 standard deviations over the average speed of 75 mph.Based on this information, a driver will receive a reckless driving ticket if they are caught driving at a speed that exceeds [ ]. To answer this question, you must find the X associated with a Z-score of 1.95. Round this value to the 1000ths place. **You must show your work to receive credit.**What is the probability that a driver will get a ticket for reckless driving? Do not round the probability value. [ ]

Let X denote the driving speed. Therefore, X~N (µ=75, σ=10.5) Given, that the driver will get a…

Answered: NORMAL DISTRIBUTION A radar unit is…

NORMAL DISTRIBUTION A radar unit is used to measure speeds of cars on a highway. The speeds are normally distributed with a mean of 75 mph and a standard deviation of 10.5 mph.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

IQ scores are normally distributed with a mean of 100 and standard deviation 16. Calculate the z-score for an IQ of 76. Include one decimal place in your answer. Add your answer
Every year, the students at a school are given a musical aptitude test that rates them from 0 (no musical aptitude) to 5 (high musical aptitude). This year's results are given in the frequency distribution: Aptitude Score 0 1 2 3 4 5 Frequency 1 6 4 1 5 2 Calculate the sample standard deviation of this data. Answer using two decimal places.
instructor gives a 100-point examination in which the grades are normally distributed. The mean is 66 and the standard deviation is 5. If there are 5% A's and 5% F's, 15% B's and 15% D's, and 60% C's, find the scores that divide the distribution into those categories. Round the cutoff scores to the nearest whole number. Round intermediate z-value calculations to 2 decimal places. A:_- B: C: D: --- F: _-_
Jse the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 64 miles per hour, with a standard deviation of 4 miles per hour. Estimate the percent of vehicles whose speeds are between miles per hour and 72 miles per hour. (Assume the data set has a bell-shaped distribution.) Approximately % of vehicles travel between 56 miles per hour and 72 miles per hour.
Cost for standard veterinary services at a local animal hospital follows a Normal model with a mean of $80 and a standard deviation of $20. Fill in the blanks according to this model: The middle 95% of veterinary bills cost between $ type your answer.... 2 type your answer... type your answer... Previous 3 S 3 e d 4 % of veterinary bills are between $60 and $80. % of bills are between $20 and $140. r f % 5 t 9 A 6 y h & 7 and $ type your answer... U n ★ 8 i E 9 k ✔ O P ctri
Question content area top Part 1 Assume that the weights of ripe watermelons grown at a particular farm are normally distributed with a mean of 10 pounds and a standard deviation of 1.1 pounds. Determine the percent of watermelons that weigh between 8.26 pounds and 12.12 pounds.
The revenue of a shop is approximately normally distributed with a mean of $4500 and a standard deviation of $800.Find the revenue, y, for which 33% of revenue are below it.
Assume that the heights of women are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If 100 women are randomly selected, find the probability that they have a mean height greater than 63.0 inches. O A. 0.0082 O B. 0.8989 O C. 0.2881 O D. 0.9918 Next View Instructor Tip Calculator 809 PM 70°F Cloudy 10/8/2021 33 2 Type here to search 10/05/17 PrtSc Insert Delete AI F9 F10 F11 F12 F7 F8 F5 F6 Esc F3 F4 F1 & Backspace Num Lock C@ %23 5 7 080 3 T. Y కాం Home C Tab H. K Enter G A CapsLk 1 Shift C V N End hift PgUp Alt Ctrl End + |/ A MI 小 44
Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 71 miles per hour, with a standard deviation of 5 miles per hour. Estimate the percent of vehicles whose speeds are between 61 miles per hour and 81 miles per hour. (Assume the data set has a bell-shaped distribution.) Approximately ________ % of vehicles travel between 61 miles per hour and 81 miles per hour.
A balanced die with six sides is rolled 60 times. Find the mean and the standard deviation of the distribution of X. Interpret
A distance is measured six times. The observed values are 572.182 m, 572.140 m, 572.103 m, 572.160 m, 572.125 m, and 572.155 m. All measurements are uncorrelated and their standard deviations are 0.030 m, 0.030 m, 0.030 m, 0.020 m, 0.020 m, and 0.010 m, respectively. Find the least squares estimate for the distance. Use matrices and R in the solution. Write the R commands involved.
A population of adults males heights distributed as approximately normal with mean 69 inches and a standard deviation of 3.5 inches. Ralph is 5 feet and 7 inches tall (67 inches). What proportion of the population is taller than he?