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Sagot :
The value of the probability p(x > 105.0) for the given normal random variable is found as 0.6915.
Explain the term normal random variable?
- A randomly distributed variable with a mean of 0 and a standard deviation of 1 is referred to as a standard random variable.
- The letter Z will always stand in for it.
- regularly distributed random variable, also known as a with standard deviation, is a continuous random variable which probabilities are defined by the normal distribution of mean and standard deviation.
For the stated question -
The formula for the z score -
z = (x - μ)/σ
In which,
μ = 140 and σ = 20
Put the values-
z = (150 - 140)/20
z = 0.5
p(x > 105.0) = p(z > 0.5)
p(x > 105.0) = 0.6915
Thus, the value of the probability p(x > 105.0) for the given normal random variable is found as 0.6915.
To know more about the normal random variable, here
https://brainly.com/question/28087511
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The complete question is-
suppose x is a normal random variable with μ = 140 and σ = 20 and find p(x > 105.0).
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