6. Suppose the probability that a newbornis female is 0.5. If a family will keephaving children until a girl is born, whatis the expected number of children inthe family?

Here the process is continued until success. The geometric distribution is useful to model the…

Answered: 6. Suppose the probability that a…

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 an RMG production line is known to have 7.4 flaws (defects) in every 50 products. a. What is the probability that there will be 32 flaws (defects) in a batch of 200 products? b. What is the probability that there will be more than 5 flaws (defects) in a particular batch of 50 products?
12. Assume that the incidence of a certain virus in a particular population is 9% and that a test correctly identifies the virus 87% of the time. Assume that false positives occur 6% of the time. If a person tests positive for the virus, what is the probability that the person actually has the virus?
5. A bag contains 20 purple marbles, 15 red marbles, and 5 blue marbles. What is the probability of randomly selecting a purple marble, not putting it back, and then randomly selecting a blue marble? (Express your answer as a decimal rounded to two places.)
16. In an experiment, a two-sided coin is tossed three times. After each toss, the result (heads or tails) is recorded. What is the probability that LESS THAN two tails occur in the three tosses?
19. In a certain college, 33% of the physics majors belong to ethnic minorities. If 10 students are selected at random from the physics majors, what is the probability that exactly 2 belong to an ethnic minority? 20. Use the information in the previous question to find the probability that at most 2 students belong to a minority.
9. The probability that an entering college student will graduate is 0.4. Determine the probability that out of 5 students (a) none (b) at least 1 (c) all will graduate.
In economics, of all new products put on the market, 60% failed and are taken off the market within 2 years. Suppose a store introduces 80 new products. What is the probability that within 2 years 55 or more will fail?
2. A fair six-sided die is tossed twice. What is the probability that a five will occur at least once?
1) You roll a standard die 50 times. What is the probability that you roll a 3 at least 8% of the time?

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6. Suppose the probability that a newborn is female is 0.5. If a family will keep having children until a girl is born, what is the expected number of children in the family?