d. What are E(X) and V(X)?e. In a sample of 50 children, what is the probability that none has a food allergy? 1. NBC News reported on May 2, 2013, that 1 out of 20 children in the United Stateshave a food allergy of some sort. Consider selecting a random sample of 25 childrenand let X be the number in the sample who have a food allergy. Then X~ Bin(25,0.05).

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Answered: d. What are E(X) and V(X)? e. In a…

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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Suppose we are interested in the relationship between an individual's brown hair and skin color. Based on a random sample of LIU students, we have the following joint probability distribution given by: X-degree of brown hair color 2 3 4 0.12 0.01 0.05 0.07 0.07 0.12 0.09 0.16 Y- degree of skin color 2 0.12 3 0.16 | 0.03 The probability that an individual with degree of brown hair 2 has a degree of skin color 1 is: None of these 0.263 0.167 0.3
Question # 2 If P(B) = 0.05, P(A|B) = 0.70 and P(A|Bº) = 0.30, find P(B|A). Question # 3 Two fair dice are thrown. i. Given that a total score of al least 10 is obtained, what is the probability of at least one six occurring? ii. Consider the absolute difference, D, between the scores of the two dice. Provide the probability distribution of D.
In the basic science unit of the university, the following results were obtained from 350 students: 200 students passed the differential calculus course 160 passed physics course 187 passed probability-statistics course 112 approved differential calculus and probability-statistics 120 passed differential calculus and physics 95 passed physics and probability-statistics 80 passed the three courses. What is the probability of those who passed only one course? a. 0.051 b. 0.1714 c. 0.38 d. 0.0714
In a deck of cards, the probability that a card less than a 4 is cut is 3/13. What is the probability of being able to cut the deck 10 times and select a card less than 45 times?. a. Describe two different methods to calculate the above situation (no need to do the calculations for both - see b.). b. Calculate the answer to the above problem.
Q. 1 It is estimated that 80% of emails are spam emails. Some software has been applied to filter these spam emails before they reach our inbox. A certain brand of software claims that it can detect 99% of spam emails, and the probability for a false positive (a non-spam email detected as spam) is 5%. Now if an email is detected as spam, then what is the probability that it is in fact a non-spam email? event A: email is spam; event B: email is detected as spam. Assume that
A psychologist determined that the number of sessions required to obtain the trust of a new patient is either 1, 2, or 3. Let x be a random variable indicating the number of sessions re- quired to gain the patient's trust. The following probability function has been proposed. f(x) = for x = 1, 2, or 3 6. Is this probability function valid? Explain. b. What is the probability that it takes exactly two sessions to gain the patient's trust? с. What is the probability that it takes at least two sessions to gain the patient's trust?
2 of 4 (0 complete) Using the data given below, determine whether it would unusual for a household to have no HD televisions. The number of televisions (HD) per household in a small town Televisions 1 Households 26 445 655 1474 P(x) 0.010 0.171 0.252 0.567 Choose the correct answer below. O A. It would be unusual because the probability of having no HD televisions is less than 0.05. O B. It would not be unusual because the probability of having no HD televisions is more than 0.05. OC. It would not be unusual because 26 people have no HD televisions in the town. O D. It would be unusual because 26 people have no HD televisions in the town. Click to select your answer.

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d. What are E(X) and V(X)? e. In a sample of 50 children, what is the probability that none has a food allergy?