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)

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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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The number of calls coming in to order roses from a flower shop averages 3 per minute a. Define random variable in this situation and list it’s values b. Stating its parameter(s) what is the probability distribution of this variable? c. Compute the probability that 5 calls will arrive per minute. d. Compute the probability that 3 or more calls will arrive in 3- minute interval?
a) is the maximum probability of making a Type I error that we are willing to accept b) is the same as the population proportion, p c) measures the number of standard deviations from the mean d) is the probability of making a Type II error e) is the same as alpha
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D5) The 3-point shooter star of your favourite team usually attempts eight 3-point shots in a basketball game. The team record shows that the shooter makes 30% of all 3-point shots attempted in a game. Assuming that the shots are independent of each other,what is probability that the star will make shots at least 1.25 standard deviation more than the expected?
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Please answer 9-11
3. The taxi and takeoff time for commercial jets is a random variable x with a mean of 8 minutes and a standard deviation of 3 minutes. Assume that the distribution of taxi and takeoff times is approximately normal. a). Find the probability that for 36 jets the average taxi and takeoff time is less than 8.33 minutes per plane. b). Find the probability that for 36 jets the average taxi and takeoff times is more than 8.55 minutes.
Assume that the height, X, of a college woman is a normally distributed random variable with a mean of 65 inches and a standard deviation of 3 inches. Suppose that we sample the heights of 180 randomly chosen college women. Let M be the sample mean of the 180 height measurements. Let S be the sum of the 180 height measurements. All measurements are in inches. Using R and write the code out.a) What is the probability that X < 59? b) What is the probability that X > 59? c) What is the probability that all of the 180 measurements are greater than 59? d) What is the expected value of S? e) What is the standard deviation of S? f) What is the probability that S-180*65 >10? g) What is the standard deviation of S-180*65 h) What is the expected value of M? i) What is the standard deviation of M? j) What is the probability that M >65.41? k) What is the standard deviation of 180*M? l) If the probability of X > k is equal to .3, then what is k?

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