A programmer is about to attempt to compile a se-ries of 11 similar programs. Let A; be the event that theith program compiles successfully for i = 1, ..., 11. Whenthe programming task is easy, the programmer expectsthat 80 percent of programs should compile. When theprogramming task is difficult, she expects that only 40 per-cent of the programs will compile. Let B be the event thatthe programming task was easy. The programmer believesthat the events A₁,..., A11 are conditionally independentgiven B and given Bº.a. Compute the probability that exactly 8 out of 11programs will compile given B.b. Compute the probability that exactly 8 out of 11programs will compile given Bº.

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Answered: A programmer is about to attempt to…

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 that 45% of all babies born in a particular hospital are girls. If 6 babies born in the hospital are randomly selected, what is the probability that at most 1 of them are girls? Carry your intermediate computations to at least four decimal places, and round your answer to two decimal places. (If necessary, consult a list of formulas.) X
Q. 1 The probability that a certain diode fails before operating 1000 hours is 0.15. Find the probability that among twenty such diodes, at least five will fail before operating 1000 hours.
Please reply as soon as posible, and please answer all 4 points If 20% of the bolts produced on a machine are defective, determine the probability that 4 randomly chosen bolts: a. That 1 screw is defective.b. That 0 screws are defectivec. That at least 2 screws are defective.d. That there are between 2 and 4 screws in good condition.
Suppose the time it takes a data collection operator to fill out an electronic form for a database is uniformly distributed between 3.3 and 4.2 minutes. Find the probability that a person takes less than 4 minutes to fill out an electronic form. Give your answer to three decimal places.
Assume that when adults with smartphones are randomly selected, 46% use them in meetings or classes. If 10 adult smartphone users are randomly selected, find the probability that fewer than 5 of them use their smartphones in meetings or classes. The probability is ... (Type an integer or decimal rounded to four decimal places as needed.)
Without a graphing calculator
Suppose that you have a box full of citrus fruits. Inside there are 38 different citrus fruits. Inside the box you have: 8 Oranges 20 Limes 6 Lemons 4 Grapefruits You reach into the bag and randomly pull out 6 fruits. Calculate each of the following proba- bilities. Make sure to write your answer as a decimal. (a) The probability that you get all Limes. (b) The probability that you get exactly 2 Lemons. (c) The probability that you do not get any Oranges. (d) The probability that you get 2 Grapefruits and 4 Limes.
2. A vehicle travelling in a minor street arrives at an intersection with a main street. The driver has to decide when to cross the (one-way) main street. Suppose that: each vehicle on the main street independently has a 90% chance of being a car and a 10% chance of being a bus, and ● the time interval between any two vehicles on the main street has a 50% chance being 4 seconds and a 50% chance being 6 seconds. The driver will cross the main street when x, the time until the next vehicle on the main street to reach the intersection, is at least 3 seconds if that vehicle is a car. If the next vehicle is a bus, the driver will cross if x>= 5 seconds. a. What is the probability that the driver will arrive in a 4-second interval? b. What is the probability that the driver will cross the main street immediately? C. If the driver arrived exactly when a vehicle on the main street has just passed the intersection, what is the probability that he will allow k vehicles on the main street to pass…
Determine whether the following pairs of events are independent and write out the mathematical reasoning for this. A.A red die and a green die are rolled. E is the event that the red die comes up, and F is the event that the green die comes up even. B. D is the event that a Texas resident lives in Dallas. E is the event that a Texas resident lives in Dallas or Houston.
. In an original group, the probability of choosing a girl from that group was 1/3 When 1more girl joins the group, the probability of choosing a girl out of the group changes from 1/3 to 3/7 How many boys were there in the group originally?
Suppose that 55% of all babies born in a particular hospital are boys. If 8 babies born in the hospital are randomly selected, what is the probability that fewer than 3 of them are boys? Carry your intermediate computations to at least four decimal places, and round your answer to two decimal places. (If necessary, consult a list of formulas.)
Osu-trace is a university program that employs random Covid-19 testing of students and faculty on a weekly basis to try and determine how prevalent COVID-19 is in the Corvallis area.Suppose that the probability of getting randomly selected to get tests by the program in any given week is 0.08. What is the probability of being randomly selected to be tested at least one of the weeks during a 10 week quarter? Write your answer as a decimal to three places past the decimal.

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