**Problem 13: Probability of Eating Fruit**Suppose that the probability that Bob eats a banana at lunch is 14%. Also, suppose that the probability that Bob eats a peach at lunch is 23%. Bob never eats both a banana and a peach at lunch. Find the probability that Bob will either eat a banana or a peach at lunch.Choices:- A. 0.37- B. 0.39- C. 0.41- D. 0.43**Explanation:**To solve this probability problem, we utilize the principle of mutually exclusive events since Bob never eats both fruits together. The total probability is the sum of the probabilities of the individual events:\[P(\text{Banana or Peach}) = P(\text{Banana}) + P(\text{Peach}) = 0.14 + 0.23 = 0.37\]Therefore, the correct answer is **A. 0.37**.

Answer - The Probability that Bob eat a banana at lunch is 14% = 0.14 The Probability…

Answered: 13. Suppose that the probability that…

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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A certain product was found to have two types of minor defects. The probability that an item of the product has only a type 1 defect is 0.2, and the probability that it has only a type 2 defect is 0.3. Also, the probability that it has both defects is 0.1. Find the probability of picking product which is defective. a. 1.2 b. 0.6 c. 0.9 d. 2
7. Suppose that there is 50% chance that it will rain today and 60% chance that it will rain tomorrow. Suppose also that there is 30% chance that it will rain both days. The probability that it either will rain today or tomorrow, but not both, is A. 0.5 B. 0.6 C. 0.3 D. 0.1
Q18. A biased coin is flipped 8 times. In a single flip of the coin, the probability of heads is 1/3 and the probability of tails is 2/3. The outcomes of the coin flips are mutually independent. What is the probability the first two flips come up heads and the rest of the flips come up tails? (Round to four decimal places.)
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17. Suppose that the probability that Bob has a flat tire is 56%. Also, suppose that the probability that Bob ha= both a flat tire and a transmission failure is 14%. Find the probability Bob will have a transmission failure if h- has a flat tire. A. 0.21 В. 0.23 C. 0.25 D. 0.27
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13. Suppose that the probability that Bob eats a banana at lunch is 14%. Also, suppose that the probability Bob eats a peach at lunch is 23%. Bob never eats both a banana and a peach at lunch. Find the probability Bob will either eat a banana or a peach at lunch. A. 0.37 B. 0.39 C. 0.41 D. 0.43