For X~ x2(17), answer the questions using r code:1. P(X < 0.45)2. P(X> 1.4)3. P (0.45 < X < 1.21)

Random variable X ~χ2(17) chisquare distribution with degrees of freedom df=17 To find probability…

Answered: 1. P(X < 0.45) 2. P(X>1.4) 3. P (0.45 <…

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 rectangles in the graph below illustrate a left endpoint upper sum for f(x) = 17 on the interval [2,6|. The value of this left endpoint upper sum is and this upper sum is an overestimate of + the area of the region enclosed by y = f(x), the x- axis, and the vertical lines x = 2 and x = 6. y 3. 2 1 2 3 4 7 Left endpoint upper sum for y = 17 on [2, 6] 17 on the interval [2, 6]. The rectangles in the graph below illustrate a right endpoint lower sum for f(x) and this lower sum is an underestimate of + the area of the region enclosed by y = f(x), the x- The value of this right endpoint lower sum is axis, and the vertical lines x = 2 and x = 6.
41. QUESTION: Suppose X is N(-1,4). Find (a) P(X 1); (c) P(-2 < X < 3); (d) P(|X + 1| < 1). 42. QUESTION: Suppose X is N(p, o? ). For a = 1, 2, 3 find P(|X – 4| < ao).
if X~P(6) find P(x<2)
Stock Prices A random sample of stock prices per share (in dollars) is shown. Find the 80% confidence intervals for the variance and standard deviation for the prices. Assume the variable is normally distributed. Round the sample variance and final answers to three decimal places. 7.50 75.37 12.00 28.37 13.88 26.69 14.75 46.12 10.87 40.25 60.50 28.00 28.25 6.94 45.12
5. f(x) = -, -2 < xS 2
If n = 12 and p = 0.27, find P(x < 5) = fill in blank answer to three decimal places = If n = 12 and p = 0.27, find P(X < 5) = fill in blank places answer to three decimal
The graph below shows the velocity (in feet per second) of an experimental car for 0≤ t ≤ 24 seconds along with the rectangles used to estimate the distance traveled. (a) Do the rectangles represent a left- or right-hand sum? (b) Do the rectangles lead to an overestimate or an underestimate of the actual distance traveled? ---Select--- (c) Determine the value of At. At = (d) Determine the estimated distance traveled for the rectangles displayed below. velocity ft/sec 596 344 164 Estimated distance traveled is 56 20 ---Select--- 18 Units ---Select--- t seconds

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1. P(X < 0.45) 2. P(X>1.4) 3. P (0.45 < X < 1.21)