MATLAB: An Introduction with Applications
5th Edition
ISBN: 9781118629864
Author: Amos Gilat
Publisher: WILEY
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Chapter 1, Problem 14P
Define two variables:
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Fred needs to choose a password for a certain website. Assume that he will choose an
8-character password, and that the legal characters are the lowercase letters a, b, c, ...,
z, the uppercase letters A, B, C, ..., Z, and the numbers 0, 1, . . ., 9.
(a) How many possibilities are there if he is required to have at least one lowercase letter
in his password?
(b) How many possibilities are there if he is required to have at least one lowercase
letter and at least one uppercase letter in his password?
(c) How many possibilities are there if he is required to have at least one lowercase
letter, at least one uppercase letter, and at least one number in his password?
a =1500, b=1700 what is percentage of a is b
A 12-inch bar that is clamped at both ends is to be subjected to an increasing amount of stress until it snaps. Let Y = the distance from the left end at which the break occurs. Suppose Y has the following pdf.
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(b) Compute P(Y ≤ 5), P(Y > 6), and P(5 ≤ y ≤ 6). (Round your answers to three decimal places.)
P(Y ≤ 5) =
P(Y > 6) =
P(5 ≤ y ≤ 6) =
(c) Compute E(Y), E(y²), and V(Y).
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Chapter 1 Solutions
MATLAB: An Introduction with Applications
Ch. 1 - Prob. 1PCh. 1 - Calculate: 4125.22e5100.53 1323+ln5008Ch. 1 - Calculate: (a) 14.836.3213+52 (b)...Ch. 1 - Calculate: 24.5+64/3.52+8.312.5376.428/15...Ch. 1 - Calculate: a. cos7x9+tan715sin15 b....Ch. 1 - Define the variable xas x = 6.7, then evaluate: a....Ch. 1 - Define the variable tas t = 3.2, then evaluate:...Ch. 1 - Define the variables x and y as x = 5.1 and y =...Ch. 1 - Define the variables a, b, c, and d as:...Ch. 1 - Prob. 10P
Ch. 1 - Prob. 11PCh. 1 - Two trigonometric identities are given by:...Ch. 1 - Two trigonometric identities are given by:...Ch. 1 - Define two variables: alpha=/6 , and beta=3/8 ....Ch. 1 - Given: xsinaxdx=sinaxa2xcosaxa . Use MATLAB to...Ch. 1 - In the triangle shown a=5.3in.,=42,andb=6 in....Ch. 1 - In the triangle shown a = 5 in., b = 7 in., and =...Ch. 1 - In the ice cream cone shown, L = 4 in. and =35 ....Ch. 1 - Prob. 19PCh. 1 - The parametric equations of a line in space are:...Ch. 1 - The circumference of an ellipse can be...Ch. 1 - 315 people have to be transported using buses that...Ch. 1 - 739 apples are to be packed and shipped such that...Ch. 1 - Assign the number 316,501.673 to a variable, and...Ch. 1 - Prob. 25PCh. 1 - Prob. 26PCh. 1 - Prob. 27PCh. 1 - Prob. 28PCh. 1 - Prob. 29PCh. 1 - Prob. 30PCh. 1 - Radioactive decay of carbon-14 is used for...Ch. 1 - The greatest common divisor is the largest...Ch. 1 - The Moment Magnitude Scale (MMS), denoted Mw,...Ch. 1 - Prob. 34PCh. 1 - Prob. 35PCh. 1 - Newton’s law of cooling gives the temperature T(t)...Ch. 1 - The stress intensity factor K predicts the stress...Ch. 1 - Prob. 38PCh. 1 - Use the Help Window to find a display format that...Ch. 1 - Prob. 40P
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- A restaurant serves three fixed-price dinners costing $12, $15, and $20. For a randomly selected couple dining at this restaurant, let X = the cost of the man's dinner and Y = the cost of the woman's dinner. The joint pmf of X and Y is given in the following table. p(x, y) 15 y 12 20 12 0.05 0.10 0.35 x 15 0.00 0.20 0.10 20 0.05 0.05 0.10 (a) Compute the marginal pmf of X. x 12 Px(x) Compute the marginal pmf of Y. y Pyly) 12 15 20 15 20 (b) What is the probability that the man's and the woman's dinner cost at most $15 each? (c) Are X and Y independent? Justify your answer. X and Y are independent because P(x, y) = Px(x) · Py(y). X and Y are not independent because P(x, y) =Px(x) · Pyly). X and Y are not independent because P(x, y) * Px(x) · Py(y). X and Y are independent because P(x, y) * Px(x) · Py(y). (d) What is the expected total cost, in dollars, of the dinner for the two people? $ (e) Suppose that when a couple opens fortune cookies at the conclusion of the meal, they find the…arrow_forwardLet X = the time between two successive arrivals at the drive-up window of a local bank. If X has an exponential distribution with λ = 1, (which is identical to a standard gamma distribution with α = 1), compute the following. (If necessary, round your answer to three decimal places.) (a) the expected time between two successive arrivals (b) the standard deviation of the time between successive arrivals (c) P(X ≤ 1) (d) P(2 ≤ X ≤ 4) You may need to use the appropriate table in the Appendix of Tablesarrow_forwardIn each case, determine the value of the constant c that makes the probability statement correct. (Round your answers to two decimal places.) USE SALT (a) (c) 0.9842 (b) P(0 ≤ Z ≤ c) = 0.3051 (c) P(CZ) = 0.1335 You may need to use the appropriate table in the Appendix of Tables to answer this question.arrow_forward
- Find aarticle about confidence intervals and post a short summary.arrow_forwardFind a video or article about confidence intervals and post a short summary and a link.arrow_forwardprovide analysis based on the data on the image answering the following: Define Regression as a method to establish whether the pairs of data (observations) follow a straight line. Here, you are required to perform a regression between Y and X for the purpose of prediction. Show the regression line and then discuss the following: Run an OLS regression to test the significance of the theoretical signs expected What is the Y-intercept Compute the slope R square and r (correlation coefficient) Is the explanatory variable significant at the 5% level? That is, what is the “t” value? Estimate the regression equation and graphically show the regression line Compute the p-value and is it less than the 5% cut off point for being significant?arrow_forward
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