A mail-order computer business has six telephone lines. Let X denote the number of lines in use ata specified time. Suppose the pmf of X is as given in the accompanying table.234P(X=x)0.100.150.200.200.060.04aA. Calculate the probability of each of the following events.a. {at most three lines are in use}b. {fewer than three lines are in use}c. {at least three lines are in use}d. (between two and five lines, inclusive, are in use}e. {between two and four lines, inclusive, are not in use}f. {at least four lines are not in use}B. Construct the cumulative distribution function tableC. Construct histogramD. Find the E(X), V(X), standard deviation

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Let E and F be two events and suppose P(E) = 0.48, P(F) = 0.55, and P(E F) = 0.74. Find P(E | F).
Suppose that the random variable xx, shown below, represents the number of speeding tickets a person received in a three-year period. P(x)P(x) represents the probability of a randomly selected person having received that number of speeding tickets during that period. Use the probability distribution table shown below to answer the following questions. xx P(x)P(x) 0 0.3377 1 0.3347 2 0.1744 3 0.0605 4 0.0464 5 0.0463 6+ 0.0000 a) What is the probability that a randomly selected person has received four tickets in a three-year period?P(x=4)=P(x=4)=b) What is the probability that a randomly selected person has received four or more tickets in a three-year period?P(x≥4)=P(x≥4)=c) What is the probability that a randomly selected person has received more than four tickets in a three-year period?P(x>4)=P(x>4)=d) Would it be unusual to randomly select a person who has received four tickets in a three-year period? Yes No e) Which probability should we use to…
Determine each of the following areas andshow these graphically. Use probability notation in your final answer. 1. above z = -1.08 2. below z = -1.08 3. between z= -1.08 and z=0.80
The probability that a sales representative will make a sale is o.20. If the representative talk to six customers, Find the probability that he will make at least four sales.
Let A and B be two events such that P(ANB)=0.2, P(A NB)=D0.3 , and P(ANB)3D0.7. The value of P(B | A) is Select one: a. 1 b. 3 < O O
er Weapon Handgun Rifle Shotgun Unknown firearm Knives Hands, fists, etc. Other Probability 0.478 0.027 0.035 0.148 0.135 0.059 0.118 to 0 and less than or equal to 1, and the sum of the probabilities of all outcomes E 14 quiz
Let X denotes the number of patients who die at a certain hospital in a day. The following table gives the probability function of X. 2 3 4 P(X x) 0.3 0.25 0.25 0.15 0.05 The expected number of deaths per day in the hospital is: 3.3 ) 2.4 17
Suppose the probability of Harry not attending ceremony is 7 1 The probability of Harry and Chris attending ceremony is 5. Find the probability that Harry will attend the ceremony and Chris will not attend the ceremony. (Round your answer to three decimal places.)
A student who is taking a stats class was assigned to watch the cars driving along Pereira Drive and count the number of people who are in each cars. Let Y be the number of people in a given car that the student observe. The following table shows the cdf of Y: 1 3 4 P(Y < y) 0.06 0.32 0.71 0.88 1 (a) What is the probability that a given car has 2 people in it? (b) What is the probability that a give car has 3 or more people in it. (c) What is the expected number of people in a given car that the student observe.
Q.2 the probability that a missile hit the target is 0.90. If three missile of this type has been fired. Find the probability that (i) at least 2 hit the target. (ii) Exactly two hit the target.

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