Computational Statistics (MASC 20003) -Spring- 2021-CW (Assignment 2)- All-R-QP3) Let X be random variable represents the weights of the vehicles follows the normal distribution withmean B kg and standard deviation A kg. Find the probability that value taken by X isa. Find the probability that X less than (B + 20) kg.b. Find the probability that X greater than (B- 20) kg.c. Find the weights in kg that 95% of the vehicles exceed?Note that: A is first two-digit number (before English alphabet letter) from your college ID.B is last four-digit number (after English alphabet letter) from your college ID.For example, if your MEC ID is 16F23451, then A =16 and B3451%3D

Normal distribution is the symmetric distribution which has bell shaped curve. A normal distribution…

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

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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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Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of u 1.3 parts (a) through (c) below. a. If 1 male college student is randomly selected, find the probability that he gains between 0 kg and 3 kg during freshman year. The probability is (Round to four decimal places as needed.) b. If 16 male college students are randomly selected, find the probability that their mean weight gain during freshman year is between 0 kg and 3 kg. The probability is (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? OA. Since the weight gain exceeds 30, the distribution of sample means is a normal distribution for any sample size. OB. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. and a standard deviation of a 5.1 kg. Complete OC. Since the…
Suppose that the speed at which cars go on the freeway is normally distributed with mean 68 mph and standard deviation 5 miles per hour. Let X be the speed for a randomly selected car. Round all answers to two decimal places. If one car is randomly chosen, find the probability that is traveling less than 70 mph.
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uppose that the speed at which cars go on the freeway is normally distributed with mean 71 mph and standard deviation 6 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible.b. If one car is randomly chosen, find the probability that it is traveling more than 73 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 70 and 76 mph. d. 72% of all cars travel at least how fast on the freeway? mph. PLEASE ANSWE THE 3 SUBS B, C, D
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Suppose that the speed at which cars go on the freeway is normally distributed with mean 67 mph and standard deviation 6 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N 67 b. If one car is randomly chosen, find the probability that it is traveling more than 64 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 68 and 72 mph. d. 83% of all cars travel at least how fast on the freeway? mph. Add Work Check Answer

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