Question

Let
X have a normal distribution with mean 6 and standard deviation 3

1) Compute the probability that X>8.7 .

0-0.1

0.1-0.2

0.2-0.3

0.3-0.4

0.4-0.5

0.5-0.6

0.6-0.7

0.7-0.8

0.8-0.9

0.9-1

2) Compute the probability that X<0 .

0-0.1

0.1-0.2

0.2-0.3

0.3-0.4

0.4-0.5

0.5-0.6

0.6-0.7

0.7-0.8

0.8-0.9

0.9-1

3) Compute the probability that |X-6|>1.9 .

0-0.1

0.1-0.2

0.2-0.3

0.3-0.4

0.4-0.5

0.5-0.6

0.6-0.7

0.7-0.8

0.8-0.9

0.9-1

Answer #1

Where ranges are given as choices, pick the correct range. For
example, if you calculate a probability to be 0.27, you would pick
0.2-0.3. If your answer is 0.79, your choice would be 0.7-0.8, and
so on. The random variable Z has a standard normal
distribution.
1) Compute the probability that Z<0.6.
0-0.1
0.1-0.2
0.2-0.3
0.3-0.4
0.4-0.5
0.5-0.6
0.6-0.7
0.7-0.8
0.8-0.9
0.9-1
Tries 0/3
2) Compute the probability that Z<-1.8 .
0-0.1
0.1-0.2
0.2-0.3
0.3-0.4
0.4-0.5
0.5-0.6
0.6-0.7
0.7-0.8
0.8-0.9...

A multiple choice exam consists of 25 questions, each with 4
possible answers. Suppose that a student doesn't know the material
and simply guesses on each question.
Using the CDF command in MINITAB, answer the following
questions.
1) What is the probability that they get at least 13 questions
correct?
0-0.1
0.1-0.2
0.2-0.3
0.3-0.4
0.4-0.5
0.5-0.6
0.6-0.7
0.7-0.8
0.8-0.9
0.9-1.0

You have collected data that are exponentially
distributed: pdf f(x)= θexp(-xθ), x>0.
0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, and
1.0.
1) Determine the maximum likelihood estimation of
θ.
2) Implement the central limit theorem to obtain a 95% CI
for θ.

1.) Which of the following could be a legitimate
probability distribution?
Group of answer choices
X
0.3
0.7
P(X)
- 0.5
1.5
X
- 4
1.5
10
P(X)
- 0.6
0.1
0.3
X
1
2
3
P(X)
0.4
0.3
0.2
X
- 1
-2
- 3
P(X)
1.2
0.6
0.3
None of the above are legitimate probability distributions.

Find the mean and standard deviation of the random variable X
with the following distribution:
X 0 1 2 3 4
Probability 0.1 0.2 0.3 0.3 0.1
I.
1.8, 1.29
II.
1.00, 1.00
III.
2.1, 1.135
IV.
2.1, 1.29

For the given probability distribution, find the mean and
standard deviation.
x P(X=x)
-1.5 0.3
0 0.5
2.75 0.1
5 0.1

Calculate the standard deviation σ of X for
the probability distribution. (Round your answer to two decimal
places.)
σ =
x
0
1
2
3
P(X =
x)
0.1
0.2
0.3
0.4

Use the following cell phone airport data speeds (Mbps) from a
particular network. Find the percentile corresponding to the data
speed 4.3 Mbps. 0.1 0.2 0.3 0.4 0.4 0.4 0.5 0.6 0.7 0.7 0.7 0.7 0.8
0.9 0.9 0.9 1.5 1.5 1.7 1.8 1.9 2.1 2.6 2.6 2.6 2.7 2.7 3.1 3.3 4.3
5.1 5.9 6.2 7.1 7.2 7.3 8.7 8.8 9.5 9.6 10.9 11.1 11.2 11.4 12.7
13.4 14.4 14.7 15.5 27.2 Percentile of 4.3=

Let X have a normal distribution with a mean of 23 and a
standard deviation of 5. Find P(X < 9 or X > 21) in the
following steps
(a) What region of the normal distribution are you looking to
find the area of? (to the left of a zscore, to the right of a
z-score, between two z-scores, or to the left of one z-score and to
the right of another z-score)
(b) Calculate the z-score(s) needed to find...

Regression Confidence Interval
1. For the data below test the hypothesis H0: B1 = 0.5 against
H1: B0 =/= 0.5 Find the value of T0. Choose the closest
value.
x
y
0
4
1
6
2
-1
3
2
4
5
5
6
6
7
7
12
8
5
9
1
10
8
a. -0.5
b. -0.4
c. -0.3
d. -0.2
e. -0.1
f. 0
g. 0.1
h. 0.2
i. 0.3
j. 0.4
k. 0.5
For the data in problem...

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