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Can a probability be more than 1 or less than 0?
No. A probability of 1 means something will definitely happen. There cannot be a greater certainty than that, so probability cannot be greater than 1. 0 means there is no chance of something happening. You cannot have less than no chance of something happening. So a probability cannot be less than 0.
Why cannot a probability not be less than 0?
0 means there is no chance of something happening. You cannot have less than no chance of something happening. So a probability cannot be less than 0.
When probability is less then 0 what happen?
Probability can not be less than 0 or greater than 1. A probability of 0 means there is no possibility whatsoever of an event occurring. A probability of 1 means that the event is guaranteed to occur no matter what.
What is the probability of observing a sample mean of 18 or more from a sample size of 35?
Without knowing the data which is being sampled, it is impossible to answer this other than by saying that the probability is between 0 and 1 inclusive. Consider a company. If you sample the annual pay of the employees, any mean will be greater than 18 as everyone will be taking home more than £18 per year, so the probability is 1. Consider a school. If you sample the lengths of feet of the pupils, any mean will be less than 18 as all the feet are less than 18 inches long, so the probability is 0.
Suppose z has a standard normal distribution with a mean of 0 and a standard deviation of 1. the probability that z is less than 1.15 is?
probability is 43.3%
