3. Each of three football players will attempt to kick a field goal from the 25-yard line. Let A₁denote the event that the field goal is made by player i, i = 1,2,3. Assume that A₁, A₂, A3 aremutually independent and that P(A₁) = 0.5, P(A₂) = 0.7, and P(A3) = 0.6.a) Compute the probability that exactly one player is successful.b) Compute the probability that exactly two players make a field goal (i.e. one misses).

Let Ai denote the event that the field goal is made by a player i, i= 1,2,3.Given that A1, A2 and A3…

Answered: 3. Each of three football players will…

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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12. The table shows the number of students who took the March Bar Test for the first time and thc numbcr of students who repact the exam. Passed Failed Total 6458 2058 First time 4427 2252 1845 407 Repeat Total 8737 4834 3903 a. )Find the probability that a student failed, given that the student took the exam for the first time. b.) Find the probability that a studnt repeated the exam, given the student passed.
A commuter must pass through three traffic lights on her way to work. For each traffic light, the probability that it is green when she arrives is 0.6. The lights are independent. 3 (a) Compute the probability that all three lights are green. (b) The commuter goes to work five days per week. Let X be the number of times out of the five days in a given week that all three lights are green. Assume the days are independent of one another. Determine the distribution of X. (c) Calculate P(X= 3).
Need question d and e answers
If Z is approximately N(0,1), the probability, after "Z lies in" between -1.50 and 2.37, is:
I need part d) ONLY
A building contractor buys 70% of his cement from supplier A and 30% from supplier B. A total of 70% of the bags from A arrive undamaged, while 90% of the bags from B arrive undamaged. Find the probability that an undamaged bag is from supplier B. The probability is nothing. (Type an integer or decimal rounded to four decimal places as needed.)
You are the teacher of two math classes of 20 and 25 students respectively. To get into a university program, the students need a 75% in the class. Suppose each student has a 0.7 probability of getting atleast a 75% in the class. Let X1 be the number of students in the class of 20 who receive atleast a 75%. Let X2 be the number of students in the class of 25 who receive atleast a 75%. a. Do X1 and X2 fit the binomial setting? Are there any issues? For the rest of the question, assume both X1 and X2 can be modeled by a binomial distri- bution. b. What is the probability that exactly 15 students in the class of 20 get into the pro- gram? Do not use Table C. c. What is the probability that atleast 22 students in the class of 25 get into the pro- gram? Do not use Table C. d. Using Table C, what is the probability that atleast 17 students in the class of 20 get into the program? е. Let X be the number of students in both classes that get into the program. Deter- mine the mean and standard…
Jack has just been given a ten-question multiple choice quiz in history class. Each question has five answers, of which only one is correct. Since Jack has not attended class recently, he does not know any of the answers. Assuming Jack guesses randomly on all ten questions, find the probability that he will answer six or more of the questions correctly and avoid an F.
Ex 2. The supplier sent a batch of 10000 parts to the customer. The probability of damage to one part during transportation is 0.002. Find the probability that it will be damaged in transit. a) exactly 20 parts b) less than 10 parts c) more than 40 parts d) from 10 to 30 parts
Solve a,b

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