Question
In: Statistics and Probability
Evaluate the MGF of the aggregate claim amount at t = 0.01, if the number of...
Evaluate the MGF of the aggregate claim amount at t = 0.01, if the
number of claims is binomial with parameters n = 100 and p = 0.01,
and individual claims sizes are Gamma distributed with parameters
alpha = 10 and theta = 5.
Solutions
orchestra answered 1 year agoRelated Solutions
Let X ~ exp(λ) MGF of X = λ/(1-t) a) What is MGF of Y =...
Let X ~ exp(λ)
MGF of X = λ/(1-t)
a) What is MGF of Y = 3X
b) Y has a common distribution, what is the pdf of Y?
c) Let X1,X2,....Xk be independent and identically distributed
with Xi ~ exp(λ) and S = Σ Xi (with i = 1 below
the summation symbol, and k is on top of the summation symbol).
What is the MGF of S?
d) S has a common distribution. What is the pdf of...
If the MGF of x is Mx(t)=(0.6e^t+0.4)^8.Find variance?
Moment generating functions
If the MGF of a random variable X is of the form mX(t) = (0:4et +...
If the MGF of a random variable X is of the form
mX(t) = (0:4et + 0:6)8
(i) Find E[X].
(ii) Find the MGF of the random variable Y=3X+2.
A 0.01 significance level is used for a hypothesis test of the claim that when parents...
A 0.01 significance level is used for a hypothesis test of the
claim that when parents use a particular method of gender
selection, the proportion of baby girls is different from 0.5.
Assume that sample data consists of 78 girls in 169 births, so the
sample statistic of six thirteenths results in a z score that is 1
standard deviation below 0. Complete parts (a) through (h) below.
A . Identify the null hypothesis and the alternative hypothesis.
Choose the...
A 0.01 significance level is used for a hypothesis test of the claim that when parents...
A 0.01 significance level is used for a hypothesis test of the
claim that when parents use a particular method of gender
selection, the proportion of baby girls is different from 0.5.
Assume that sample data consists of 78 girls in 169 births, so the
sample statistic of 6/13 results in a z score that is 1 standard
deviation
Complete parts (a) through (h) below
a. identify the null hypothesis and alternative hypothesis.
b. what is the value of a?...
A 0.01 significance level is used for a hypothesis test of the claim that when parents...
A 0.01 significance level is used for a hypothesis test of the
claim that when parents use a particular method of gender?
selection, the proportion of baby girls is less than 0.5. Assume
that sample data consists of 66 girls in 144 ?births, so the sample
statistic of StartFraction 11 Over 24 EndFraction results in a z
score that is 1 standard deviation below 0. Complete parts? (a)
through? (h) below. Click here to view page 1 of the Normal...
A 0.01 significance level is used for a hypothesis test of the claim that when parents...
A 0.01 significance level is used for a hypothesis test of the
claim that when parents use a particular method of gender
selection, the proportion of baby girls is different from 0.5.
Assume that sample data consists of 66 girls in 144 births, so the
sample statistic of 11/24 results in a z score that is 1 standard
deviation below 0.
a. Identify the null hypothesis and the alternative
hypothesis. Choose the correct answer below.
A.H0:p=0.5
H1:p>0.5
B. H0: p≠0.5...
Consider the value of t such that 0.01 of the area under the curve is to...
Consider the value of t such that 0.01 of the area under the
curve is to the left of t.
Step 2 of 2 :
Assuming the degrees of freedom equals 10, select the t value
from the t table.
You wish to test the following claim (HaHa) at a significance level of ?=0.01?=0.01. Ho:?=76.4Ho:?=76.4 Ha:??76.4Ha:??76.4...
You wish to test the following claim (HaHa) at a significance
level of ?=0.01?=0.01.
Ho:?=76.4Ho:?=76.4
Ha:??76.4Ha:??76.4
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain the following sample of
data:
data
80.9
83.6
77.8
82.2
73.9
89.9
81.5
75.8
63.1
What is the critical value for this test? (Report answer accurate
to three decimal places.)
critical value = ±±
What is the test statistic for this sample? (Report answer accurate
to three...
You wish to test the following claim a significance level of α = 0.01 . H...
You wish to test the following claim a significance level of α =
0.01 . H o : p = 0.44 H a : p ≠ 0.44 You obtain a sample of size n
= 660 in which there are 275 successful observations.
What is the test statistic for this sample? test statistic = ?
Round to 3 decimal places.
What is the p-value for this sample? P-value = ? Use Technology
Round to 4 decimal places.
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