The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Complete parts (a) through (d) below. E Click the icon to view the table. a. Find the probability of getting exactly 6 girls in 8 births. (Type an integer or a decimal. Do not round.) b. Find the probability of getting 6 or more girls in 8 births. (Type an integer or a decimal. Do not round.) c. Which probability is relevant for determining whether 6 is a significantly high number of girls in 8 births: the result from part (a) or part (b)? O A. The result from part a, since it is the exact probability being asked. B. The result from part b, since it is the complement of the result of part a. C. The result from part a, since it less than the probability of the given or more extreme result. O D. The result from part b, since it is the probability of the given or more extreme result. d. Is 6 a significantly high number of girls in 8 births? Why or why not? Use 0.05 as the threshold for a significant event. O A. No, since the appropriate probability is greater than 0.05, it is not a significantly high number. O B. Yes, since the appropriate probability is greater than 0.05, it is a significantly high number. OC. Yes, since the appropriate probability is less than 0.05, it is a significantly high number. D. No, since the appropriate probability is less than 0.05, it is not a significantly high number. Probability Distribution for x Number of Girls x P(x) 0.003 1 0.017 0.102 3 0.199 4 0.358 0.199 6. 0.102 7 0.017 0.003
The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Complete parts (a) through (d) below. E Click the icon to view the table. a. Find the probability of getting exactly 6 girls in 8 births. (Type an integer or a decimal. Do not round.) b. Find the probability of getting 6 or more girls in 8 births. (Type an integer or a decimal. Do not round.) c. Which probability is relevant for determining whether 6 is a significantly high number of girls in 8 births: the result from part (a) or part (b)? O A. The result from part a, since it is the exact probability being asked. B. The result from part b, since it is the complement of the result of part a. C. The result from part a, since it less than the probability of the given or more extreme result. O D. The result from part b, since it is the probability of the given or more extreme result. d. Is 6 a significantly high number of girls in 8 births? Why or why not? Use 0.05 as the threshold for a significant event. O A. No, since the appropriate probability is greater than 0.05, it is not a significantly high number. O B. Yes, since the appropriate probability is greater than 0.05, it is a significantly high number. OC. Yes, since the appropriate probability is less than 0.05, it is a significantly high number. D. No, since the appropriate probability is less than 0.05, it is not a significantly high number. Probability Distribution for x Number of Girls x P(x) 0.003 1 0.017 0.102 3 0.199 4 0.358 0.199 6. 0.102 7 0.017 0.003
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Compound Probability
Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.
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Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.
Conditional Probability
By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.
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Transcribed Image Text:The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of
girls among 8 children. Complete parts (a) through (d) below.
Click the icon to view the table.
a. Find the probability of getting exactly 6 girls in 8 births.
(Type an integer or a decimal. Do not round.)
b. Find the probability of getting 6 or more girls in 8 births.
(Type an integer or a decimal. Do not round.)
c. Which probability is relevant for determining whether 6 is a significantly high number of girls in 8 births: the result from part (a) or part (b)?
A. The result from part a, since it is the exact probability being asked.
B. The result from part b, since it is the complement of the result of part a.
C. The result from part a, since it less than the probability of the given or more extreme result.
D. The result from part b, since it is the probability of the given or more extreme result.
d. Is 6 a significantly high number of girls in 8 births? Why or why not? Use 0.05 as the threshold for a significant event.
A. No, since the appropriate probability is greater than 0.05, it is not a significantly high number.
B. Yes, since the appropriate probability is greater than 0.05, it is a significantly high number.
C. Yes, since the appropriate probability is less than 0.05, it is a significantly high number.
D. No, since the appropriate probability is less than 0.05, it is not a significantly high number.
i Probability Distribution for x
Number of
Girls x
P(x)
0.003
1
0.017
2
0.102
3
0.199
4
0.358
0.199
6.
0.102
7
0.017
8
0.003
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