Question

1. If random variable X follows a Normal probability
distribution, a negative Z score means

(a) The value of X is negative

(b) The value of X is less than the mean

(c) The value of X is greater than the mean

(d) the correlation between X and Z is negative

(e) none of the above.

2. Which of the following statements is not true about the
Normal Curve

(a) The total area under the Normal Curve is 1.

(b) The area less than the mean is 0.5

(c) The area less than Z=-1 is the same as the area of the
area more than Z=1

(d) The Normal curve is symmetric

(e) All the above is true

Answer #1

Choose the correct options.

__________ For a continuous random variable x, the area
under the probability distribution curve between any two x-values
is always _____.
Greater than 1 B) less than
zero C) equal to 1 D) in the
range zero to 1, inclusive
_________For a continuous random variable x, the total
area under the probability distribution curve of x is always
______?
Less
than1 B)
greater than
1
C) equal to
1
D) 0.5
___________ The probability that a continuous random
variable x...

20. The area under the normal curve between Z = -1and Z = -2 is
________________ the area under the normal curve between Z =1 and Z
= 2.
A. Less than
B. Greater than
C. Equal to
D. A, B or C above dependent on the value of the mean
E. A, B or C above dependent on the value of the standard
deviation

-. For what follows, Z denotes the standard normal random
variable.
(1) P(Z<1.26) is about
(a) 0.7924
(b) 0.3962
(c) 0.1038
(d) 0.6038
(e) 0.8962
(2) P(-0.54 < Z < 0.78) is about
(a) 0.2054
(b) 0.0769
(c) 0.4877
(d) 0.2823
(e) 0.6877
-Assume the random variable X is normally distributed with mean
172 and standard deviation 10. Find the following
probabilities.
(3) P(X<160)
(a) 0.8849
(b) 0.1151
(c) 0.9999
(d) 0.8078
(e) 0.8438
(4) P(X>150)
(a) 0.0139
(b) 0.9861...

If Z is a standard normal variable, find the
probability.
The probability that z is less than 0.8.
0.7881 b. 0.2119 c. 0.4681 d. 0.5319
The probability that z lies between 0.61 and 2.25.
0.7413 b. 0.2831 c. 0.2587 d. 0.7169
The probability that z is greater than -2.47.
0.0068 b. 0.0685 c.
0.9932 d. 0.9315
The graph below shows a standard normal distribution. Find the
z-score associated with the shaded area. The area of the shaded
region is 0.0694.
1.37 b. 1.48 c. 1.26 d. 1.01
The graph below shows a standard normal distribution. Find the
z-score associated with the shaded area....

In a standard normal distribution, the probability that Z is
less than zero is
Multiple Choice
-0.5
0.0
0.5
1.0
For the standard normal probability distribution, the total area
under the curve is
Multiple Choice
0.0
0.5
1.0
3.0
The random variable x is known to be uniformly distributed
between 50 and 100. The probability of x having a value between 70
to 95 is
Multiple Choice
.25
.50
.75
1.00
x is a normally distributed random variable with a...

Let the random variable X follow a normal distribution with
muμequals=4040 and sigmaσ2equals=6464. a. Find the probability that
X is greater than 5050. b. Find the probability that X is greater
than 2020 and less than 5252. c. Find the probability that X is
less than 4545. d. The probability is 0.30.3 that X is greater than
what number? e. The probability is 0.070.07 that X is in the
symmetric interval about the mean between which two numbers?

2.)Assume random variable Z follows standard normal
distribution; find the value of the following probabilities.
P(-1<Z<1)
3.)Assume random variable Z follows standard normal
distribution; find the value of the following probabilities.
P(0<Z<1)
4.)Assume random variable Z follows standard normal
distribution; find the value of the following probabilities.
P(Z>2)
5.)The natural log of growth of yucca tree is approximately
normally distributed with mean of 0.053 mm and standard deviation
0.03mm. Determine the probability that a yucca tree has growth less
than...

For
Questions 6 - 8, let the random variable X follow a Normal
distribution with variance σ2 = 625.
Q6. A random sample of n = 50 is obtained with a sample mean, X-Bar
of 180.
What is
the probability that population mean μ is greater than 190?
a.
What is Z-Score for μ greater than 190 ==>
b.
P[Z > Z-Score] ==>
Q7. What
is the probability that μ is between 198 and 211?
a. What
is Z-Score1 for...

a) Assume Z is a random variable with a standard normal
distribution and d is a positive number. If P(Z>d)=0.15 then P(
-d<Z<d)=0.7.
True or False
b) If Z is a random variable from a standard normal distribution
and if P(Z>c)=0.27,then P(Z< -c)= 0.27
True or False
c) If Z is a random variable from a standard normal distribution
and if P(Z <b)=0.66, then P(Z,< - b)=0.34
True or False
d) If X represents a random variable coming from a...

Assume that x has a normal distribution, and find the indicated
probability.
1) The mean is 15.2 and the standard deviation is 0.9. Find the
probability that x is greater than 17.
2) Let x be a continuous random variable that follows a normal
distribution with a mean of 17.3 and a standard deviation of 3.2.
Find the value of x so that the area under the normal curve to the
left of x is .500.
Please show all the...

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