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Sagot :
As per the normal distribution, the probability that x is less than or equal to 38 is 0.9861.
Probability:
In math, probability denotes a branch of mathematics concerning numerical descriptions of how likely an event is to occur.
Given,
Here let x be a normally distributed random variable with mean 5 and standard deviation 15. please express your answer as a number between 0 and 100. if you want to write 52%, please enter 52.
Here we need to find the probability that x is less than or equal to 28.
According to a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.
Here first, we have to solve for the z-score using the formula below.
=> z-score = (x – μ) / σ
Here x refers the individual data value = 38
μ refers mean = 5
σ refers standard deviation = 15
Then when we apply the values on it, then we get,
=> z-score = (38 - 5) / 15
=> z-score = 33 / 15
=> z-score = 2.2
Then the probability that corresponds to the z-score in the z-table.
=> probability = 0.9861
To know more about Probability here.
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