SOLUTION: Given a standardized normal distribution a) What is the probability that a Z is less than 1.05 b) what is the probability that Z is less than _0.24 or greater than the mean.

Algebra.Com
Question 856112: Given a standardized normal distribution a) What is the probability that a Z is less than 1.05
b) what is the probability that Z is less than _0.24 or greater than the mean.

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
P(z < 1.05) = NORMSDIST(1.05)= .8531
(85.31% of the area under the normal curve is to the left of z = 1.05)
P(0< z ≤ .24) = NORMSDIST(.24) - .5 = .5948 - .5 = .0948
Normal distribution:
Below: z = 0, z = ± 1, z= ±2 , z= ±3 are plotted.
Note: z = 0 (represents the mean) 50% of the area under the curve is to the left and %50 to the right


RELATED QUESTIONS

Given standardized normal distribution(with a mean of 0 and a standard deviation of 1)... (answered by Boreal)
given a standardized normal distribution (with a mean of zero and a standard deviation of (answered by ewatrrr)
For a standardised normal distribution, what is the probability that z is a) greater... (answered by Edwin McCravy)
For a standard normal distribution, what is the probability that z is greater than... (answered by ewatrrr)
Let the random variable Z follow a standard normal distribution. The probability is 0.25... (answered by Jacksonjacob)
Let the random variable Z follow a standard normal distribution. The probability is 0.25 (answered by stanbon)
what is the probability of randomly selecting a Z score greater than Z = -0.80 from a... (answered by Edwin McCravy)
Find z, if the probability that a random variable having the standard normal distribution (answered by stanbon)
what is the probability that a data value in a normal distribution is between a z-score... (answered by rothauserc)