Homework Soursex is a normally distributed random variable with a mean of 8
x is a normally distributed random variable with a mean of 8 and a standard deviation of 1.5. find the value of x for which 70.54% of the area under the distribution curve lies to the right of it
x is a normally distributed random variable with a mean of 8 and a standard deviation of 1.5. find the value of x for which 70.54% of the area under the distribution curve lies to the right of it
x is a normally distributed random variable with a mean of 8 and a standard deviation of 1.5. find the value of x for which 70.54% of the area under the distribution curve lies to the right of it
Solution
First, we get the z score from the given left tailed area. As
Left tailed area = 1 - 0.7054 = 0.2946
Then, using table or technology,
z = -0.539995697
As x = u + z * s,
where
u = mean = 8
z = the critical z score = -0.539995697
s = standard deviation = 1.5
Then
x = critical value = 7.190006455 [ANSWER]
