The makers of Skittles claim that 20% of Skittles candies are orange. Suppose this claim is true. You select a random sample of 30 Skittles from a large bag. Let p = the proportion of orange Skittles in the sample. !3! Describe shape of sampling distribution of p. Justify your answer. O Because np = 30(0.2) = 6 < 10 the sampling distribution of p is not approximately Normal. Because p = 0.20 is closer to 0 than to 1, the sampling distribution of p is skewed to the left. O The sampling distribution of p is approximately Normal because n = 30. O Because np = 30(0.2) = 6 < 10 the sampling distribution of p is not approximately Normal. The sampling distribution of p is skewed to the left and centered about 0.8 O The sampling distribution of p is mound shaped and centered at np = O Because np = 30(0.2) = 6 < 10 the sampling distribution of p is not approximately Normal. Because p = 0.20 is %3D = 30(0.2) = 6. closer to 0 than to 1, the sampling distribution of p is skewed to the right.
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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The makers of Skittles claim that 20% of Skittles candies are orange. Suppose this claim is true. You select a random
sample of 30 Skittles from a large bag. Let p = the proportion of orange Skittles in the sample.
An
Describe shape of sampling distribution of p. Justify your answer.
O Because np 30(0.2) = 6 < 10 the sampling distribution of p is not approximately Normal. Because p = 0.20 is
closer to 0 than to 1, the sampling distribution of p is skewed to the left.
The sampling distribution of p is approxzimately Normal because n = 30.
O Because np 30(0.2) = 6 < 10 the sampling distribution of p is not approxima tely Normal. The sampling
distribution of p is skewed to the left and centered about 0.8
The sampling distribution of p is mound shaped and centered at np 30(0.2) 6.
Because np = 30(0.2) = 6< 10 the sampling distribution of is not approximately Normal. Because p = 0.20 is
closer to O than to 1, the sampling distribution of p is skewed to the right.
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