yes.
i dont have an idea
Yes. The total area under any probability distribution curve is always the probability of all possible outcomes - which is 1.
The probability is always a fraction except when it is 0 or 1. If a probability = 1 then it will definitely happen. If the probability is 0 then it will not happen. If you toss a fair coin the probability of heads is 1/2, and the probability of tails is 1/2. These fractions are representations of the probabilities. Not all fractions are representative of probabilities. Fractions can be used to represent a portion of a whole. Like what portion of a class is boys, and what portion is girls: If there are 8 boys and 7 girls, then the 8/15 of the class is boys, and 7/15 of the class is girls.
No, but it can represent the probability of such an outcome.
Since 5/4 > 1, it cannot represent a probability of an event A, denoted by Pr(A), because for any event A, 0 ≤ Pr(A) ≤ 1. If A never occur, then Pr(A) = 0; if A always occur, then Pr(A) = 1.
i dont have an idea
Continuous
No, 0.006 is not a valid probability because probabilities must be between 0 and 1. In this case, 0.006 is less than 0 and therefore cannot represent a probability.
False.
For a normal probability distribution to be considered a standard normal probability distribution, it must have a mean of 0 and a standard deviation of 1. This standardization allows for the use of z-scores, which represent the number of standard deviations a data point is from the mean. Any normal distribution can be transformed into a standard normal distribution through the process of standardization.
Yes. The total area under any probability distribution curve is always the probability of all possible outcomes - which is 1.
The lowest probability possible is 0, which indicates that an event is impossible and will not occur under any circumstances. Probabilities range from 0 to 1, where 0 means the event cannot happen and 1 means it is certain to occur. Probabilities between 0 and 1 represent varying degrees of likelihood for different events.
The probability is always a fraction except when it is 0 or 1. If a probability = 1 then it will definitely happen. If the probability is 0 then it will not happen. If you toss a fair coin the probability of heads is 1/2, and the probability of tails is 1/2. These fractions are representations of the probabilities. Not all fractions are representative of probabilities. Fractions can be used to represent a portion of a whole. Like what portion of a class is boys, and what portion is girls: If there are 8 boys and 7 girls, then the 8/15 of the class is boys, and 7/15 of the class is girls.
Assuming you mean random variable here. A random variable is term that can take have different values. for example a random variable x that represent the out come of rolling a dice, that is x can equal 1,2,3,4,5,or 6. Think of probability distribution as the mapping of likelihood of the out comes from an experiment. In the dice case, the probability distribution will tell you that there 1/6 the time you will get 1, 2,3....,or 6. this is called uniform distribution since all the out comes have that same probability of occurring.
A probability value must always fall within the range of 0 to 1, where 0 represents an impossible event and 1 represents a certain event. Since 1.21 exceeds this range, it is not a valid probability and cannot represent the likelihood of any event occurring. Probabilities greater than 1 do not have a meaningful interpretation in the context of probability theory.
It can represent anything that you want - provided that you define it as such. Here are some examples:Algebra: it could represent a typical element in the set of rational numbers.Geometry: In the Cartesian plane (or space), it could represent the ordinate (second coordinate) of a point.Probability: It could represent the probability of the complement of a given event - particularly for the binomial distribution.
The curve of the standard normal distribution represents the probability distribution of a continuous random variable that is normally distributed with a mean of 0 and a standard deviation of 1. It is symmetric around the mean, illustrating that values closer to the mean are more likely to occur than those further away. The area under the curve equals 1, indicating that it encompasses all possible outcomes. This distribution is commonly used in statistics for standardization and hypothesis testing.