9. For a standard normal distribution, what is the probability
that Z is greater than -1.35? Round to four decimals and use
leading zeros.
10. For a standard normal variable, what is the probability that
Z is between -2.00 and -1.00? Round to four decimals and use
leading zeros.
11. For a dataset that follows the standard normal distribution,
what is the probability that Z is between 2.00 and 3.00? Round to
four decimals and use leading zeros.
in the Standard Normal distribution:
(a) 2.09% of z-scores are less than z=z=
(b) 17.79% of z-scores are greater than z=z=
In each case, round your answers to at least two decimal
places.
Among smartphone owners 26-35 years of age, the average number
of text messages sent per day follows an approximately Normal
distribution with a mean of 66 and a standard deviation of 2.
(a) What percent of smartphone owners 26-35 years of age sent an
average of more...
What is the probability that Z is less than minus − 0.27 0.27 or
greater than the mean? The probability that Z is less than minus −
0.27 0.27 or greater than the mean is 0.8936
QUESTION 5
The variable Z has a standard normal distribution. The
probability P(- 0.5 < Z < 1.0) is:
a.
0.5328
b.
0.3085
c.
0.8413
d.
0.5794
QUESTION 6
If a random variable X is normally distributed with a mean of 30
and a standard deviation of 10, then P(X=20) =
a.
0.4772
b.
-0.4772
c.
-2.00
d.
0.00
QUESTION 7
If P( -z < Z < +z) = 0.8812, then the z-score is:
a.
1.56
b.
1.89
c.
0.80...
a) Let z be a random variable with a standard normal
distribution. Find the indicated probability. (Round your answer to
four decimal places.)
P(−2.02 ≤ z ≤ −0.31) =
Shade the corresponding area under the standard normal
curve.
b) Assume that x has a normal distribution with the
specified mean and standard deviation. Find the indicated
probability. (Round your answer to four decimal places.)
μ = 50; σ = 15
P(40 ≤ x ≤ 47) =
c) Find z such...