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Sergeeva-Olga [200]
3 years ago
7

What options are available to the decision maker if the probabilities of the states of nature are unknown?

Mathematics
1 answer:
statuscvo [17]3 years ago
7 0

Answer:

The states of nature refer to future events, not under the control of the decision maker, which may occur. States of nature should be defined so that they are mutually exclusive and collectively exhaustive.

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The population of a city in 2005 was 18,000. By 2010, the city’s population had grown to 45,000. If the population growth follow
olga_2 [115]
First find the rate of growth
45000=18000(1+r)^(2010-2005)
Solve for r
r=((45,000÷18,000)^(1÷5)−1)×100
R=20%
Use it to find the population in 2015
P=45000(1+0.20)^(2015-2010)
P==111,974.4
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3 years ago
Please help, i really need help
AveGali [126]

Answer :

<em>3</em><em>5</em><em> </em><em>h</em><em>o</em><em>t</em><em> </em><em>d</em><em>o</em><em>g</em><em>s</em><em> </em><em>a</em><em>n</em><em>d</em><em> </em><em>5</em><em>2</em><em> </em><em>s</em><em>o</em><em>d</em><em>a</em><em>s</em><em> </em><em>w</em><em>e</em><em>r</em><em>e</em><em> </em><em>s</em><em>o</em><em>l</em><em>d</em><em>.</em><em> </em>

Step-by-step explanation:

Let the no. of hot dogs sold be x and no. of sodas sold be y .

Put together your two equations, and find the values of x and y, to know exactly how many hot dogs and sodas were sold.

Hope i was able to help:)))

6 0
3 years ago
Kelly has to read a 15 page poem she has read 10 pages so far,what fraction of the poem did she read?
Free_Kalibri [48]

Answer:

Kelly has read 2/3 of the poem.

Step-by-step explanation:

If you divide the 10 pages she has read by the total 15 pages, you get 0.66. Another way to get this is to put 10 over 15. Divide both the numerator and denominator by 5 to get 2/3.

5 0
3 years ago
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A television network is deciding whether or not to give its newest television show a spot during prime viewing time at night. If
musickatia [10]

Answer:

a. The test statistic for this hypothesis would be z=1.71

b. Critical value at α = 0.10: z=1.282

c. Reject H0, the television network should not keep its current lineup.

d. H0: p ≤ 0.50; HA: p > 0.50

Step-by-step explanation:

We have to performa an hypothesis test on a proportion.

The claim is that the proportion of viewers that prefer the new show is bigger than 50% (meaning that most viewers prefer the new show).

The null hypothesis will state that both shows have the same proportion.

Then, the null and alternative hypothesis are:

H_0: \pi\leq0.50\\\\H_a: \pi>0.5

The sample proportion is p=0.53

p=X/n=438/827=0.53

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.5*0.5}{827}}= 0.017

Then, the z-statistic can be calculated as:

z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.53-0.50-0.5/827}{0.017}=\dfrac{ 0.029 }{0.017} =1.706

The critical value for a right tailed test at a significance level of 0.10 is zc=1.282. This value can be looked up in a standard normal distribution table.

As the statistic is bigger than the critical value, it lies in the rejection region. The null hypothesis is rejected. There is evidence to support the claim that the proportion of viewers which support the new show is larger than 0.50.

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3 years ago
A model builder has 30 pieces of balsa wood in a box. Four pieces are 15 inches long, 10 pieces are 12 inches long, and the rest
VladimirAG [237]
There is about a 16.5% chance to pull an 8-inch piece, this is theoretical probability though. <span />
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