Problem#3: If P(A) = 0.3, P(B)= 0.2, and P(An B) = 0.1, calculate thefollowing probabilities:(а) Р(А')(b) P(A U B)(c) P(A' n B)(d) P(A n B')(e) P[(A U B)'](f) P(A' U B)

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Answered: Problem#3: If P(A) = 0.3, P(B) = 0.2,…

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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Please show your answer and explain it. DO ONLY PROBLEM 53
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Rewrite and answer each problem carefully. Problem 1 Consider the figure below and calculate the following probabilities:
Rework problem 2 from section 4.1 of your text involving the computation of probabilities for Bernoulli trials. Use the following values instead of those found in your book. (1) 3 successes in 5 trials with p = 0.4 : (2) 2 successes in 5 trials with p = 0.3 : (3) 0 successes in 4 trials with p = 1/8 :
2. If P(X € A) — .3, P(X € В) %3 .25, Р(X € С) %3 .6, P(Х € AUB) 3 55, аnd P(X € BUС) %3 .7, determine the following probabilities. (а) Р(Х € А') (b) Р(X € В°) (с) Р(X € AnВ) (d) P(Х € ВПС)
Answer question 8.1
Problem 2 [12 points]: Fourth digit of ID a. Genuine motor company manufactures an assembly which consists of three mechanical components. Suppose that the probability of not meeting specification for the first component is equal to 0.09/ 0.11/ 0.13. For the second and third components the probabilities of not meeting specifications are 0.05/ 0.04/ 0.03 and 0.06/ 0.07/ 0.08 respectively. Assuming that the components are independent in terms of not meeting the specification, determine the probability mass function of the number of components in the assembly that does not meet specification. (6.0) Fifth digit of ID Last digit of ID
2) Events A and B have respective probabilities P(A) = 0.4 and P(B) = 0.5.You also know that P(A ∪ B) = 0.7.(a) What is P(A|B)?(b) What is P(B|A)?
Question 1 Events A, B and C are disjoint. For the following event probabilities: P(A)=0.16, P(B)=0.69, P(C)=0.15, P(D|A)=0.072, P(D|B)=0.033, P(D|C)=0.061, calculate P(B|D). Your answer: 0.178 0.595 0.860 0.358 0.524 0.341 0.652 0.999 0.161 0.188
Situation 2: I went to the grocery store and I noticed that there are five different kinds of brown sugar at different prices, each brand has different probabilities that they will be sold. What formula should I use if I want to determine how the prices vary from the average price of the product that would be sold to the customers repeatedly?
Problem #8: The backoff torque required to remove bolts in a steel plate is rated as high, moderate, or low. Historically, the probability of a high, moderate, or low rating is 0.57, 0.23, or 0.2, respectively. A sample of 16 bolts are selected for testing. Let X, Y, and Z denote the number of bolts that are independently rated as high, moderate, and low, respectively. Determine the following probabilities. Problem #8(a): Problem #8(b): (a) P(X= 11, Y=2, Z=3) (b) P(X=7| Y= 4) Answer correct to 4 decimals Answer correct to 4 decimals
Rework problem 2 from section 4.1 of your text involving the computation of probabilities for Bernoulli trials. Use the following values instead of those found in your book. (1) 3 successes in 5 trials with p = 0.7: (2) 2 successes in 5 trials with p = 0.3: (3) 0 successes in 4 trials with p = 1616

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Problem#3: If P(A) = 0.3, P(B) = 0.2, and P(An B) = 0.1, calculate the following probabilities: (a) P(A') (b) P(A U B) (c) P(A' n B)