Question

given a normal distribution with u=54 and =3 complete parts a through d
a. what is the probability that x>49
b. what is the probability that x<48
c. for the distribution 9% of the values are less than what x-value
d. between what two x values are 60% of the values

Answer 1

Solution -

Given that we have normal distribution with mean = 54 and standard deviation = 3

Now we have to calculate the probability of;

a. P(X>49) =

Let z = (x - mean) / s.d. = (49-54)/3 = -1.67

So now P(z> -1.67) = 1 - P(z< -1.67) = 1 - 0.047 = 0.953

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