9. A computer program is tested by 5 independent tests. If there is an error, thesetests will discover it with probabilities 0.1, 0.2, 0.3, 0.4, and 0.5, respectively.Suppose that the program contains an error. What is the probability that it will befounda. by at least one test?b. by at least two tests?c. by all five tests?

We have given that 5 independent test Let us suppose that 5 test is given as Probability of error…

Answered: 9. A computer program is tested by 5…

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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Suppose a sitcom is filmed on set between zero and five days per week. The following table shows the probabilities of the sitcom being filmed zero, one, two, three, four, or five days in a week. ? ?(?) 0 0.112131 0.145582 0.169423 0.225474 0.153755 0.19365The expected number of days the sitcom will be filmed in one week, ? , is 2.74408. Use the formula below to calculate the variance, ?2, of the number days the sitcom films, ?, where ?(?) is the probability of the sitcom filming for a particular number of days.?2=∑[(?−?)2⋅?(?)]Provide each answer with three decimal places of precision. What is the weighted probability of zero days of filming?(?0−?)2⋅?(?0)= What is the weighted probability of one day of filming?(?1−?)2⋅?(?1)= What is the weighted probability of two days of filming?(?2−?)2⋅?(?2)= What is the weighted probability of three days of filming?(?3−?)2⋅?(?3)= What is the weighted probability of four days of filming?(?4−?)2⋅?(?4)= What is the weighted probability of five days of…
20. If the B column of your Z Table disappeared, which of the following could be used to determine B column probabilities? (hint: to help yourself, draw these choices) a. D column - .5000 b. C column - .5000 c. 1-D column d. 1-C column
. An electronic assembly consists of two subsystems A and B. The following probabilities are known. P(A fails) = 0.25, P( A and B fail) = 0.14 and P(B fails alone) = 0.15. Evaluate P (A fails alone) P (A fails given that B has failed) (Explain the solution using Venn diagram)
Is Lucas's first free throw shot independent of his second free throw shot? O The two free throws are dependent on each other. O The two free throws are independent of each other. O It is impossible to tell from the given information whether or not the two free throws independent of each other. What is the probability that Lucas makes both free throws?
The probabilities that a service station will pump gas into 0, 1, 2, 3, 4, or 5 or more cars during a certain 30-minute period are 0.03, 0.18, 0.24, 0.28, 0.10, and 0.17, respectively. Find the probability that in this 30-minute period (a) more than 2 cars receive gas; (b) at most 4 cars receive gas; (C) 4 or more cars receive gas
What is the known probability when two events will both occur, such that the probabilities of the individual events are from its product? A. Independent Event B. Dependent Event C. Individual Event D. Intersection of Event Mr. Chua has two children. What is the probability that they are both boys? А. 1/2 В. 1/3 C. 1/4 D. 1
A box of 50 remote control devices contains 3 that have a defective power button. If devices are randomly sampled from the box and inspected one at a? time, determine the following probabilities. a. The probability that the first control device is defective. b. The probability that the first control device is good and the second control device is defective. c. The probability that the first three sampled devices are all good.
a. You are going to choose a number randomly from the set { 3, 4, 5, 6, ... 19, 20). What is the probability that the number will be divisible by 5 given that the number is even? b.In CSE230, there were 2 assignments this semester. The probabilities that you would get full marks in the first and second assignments are 0.32 and 0.41 respectively. Now, if you get full marks in the first assignment that makes your probability of getting full marks in the second assignment as 0.53. What is the probability of getting full marks in the first assignment given that you got full marks in the second assignment?

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