Answer:
answer is 0.001254.
Step-by-step explanation:
Given that you invested in 3 stocks of Engineering Aces, Upton Clothiers, and Thompson Musical Instruments.
Also given that each stock value is independent of the other.
Let E be the event changing in value by more than 10% in a given week for Engineering Aces,
U be the event changing in value by more than 10% in a given week for Upton Clothiers, and T be the event changing in value by more than 10% in a given week for Thompson Musical Instruments.
Given that P(E) = = 19%
P(U) = 11%
P(T) = 6%
probability that all three will change by more than 10% in the same week
= P(EUT)
= P(E) P(U) P(T) since three events are independent.
=0.19(0.11)0.06
= 0.001254
Answer:
The answer is Option D:
<em>"The distribution of all values of the statistic resulting from all samples of size taken from the same population."</em>
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Step-by-step explanation:
First, is a distribution of all values. It has to include all the possible values of the statistic with its associated probability.
Second, is a distribution of a statistic because we are talking about sample results.
Third, it has to be taken from the same population and have to have the same sample size.
<h3>
Answer:</h3>
System
Solution
- p = m = 5 — 5 lb peanuts and 5 lb mixture
<h3>
Step-by-step explanation:</h3>
(a) Generally, the equations of interest are one that models the total amount of mixture, and one that models the amount of one of the constituents (or the ratio of constituents). Here, there are two constituents and we are given the desired ratio, so three different equations are possible describing the constituents of the mix.
For the total amount of mix:
... p + m = 10
For the quantity of peanuts in the mix:
... p + 0.2m = 0.6·10
For the quantity of almonds in the mix:
... 0.8m = 0.4·10
For the ratio of peanuts to almonds:
... (p +0.2m)/(0.8m) = 0.60/0.40
Any two (2) of these four (4) equations will serve as a system of equations that can be used to solve for the desired quantities. I like the third one because it is a "one-step" equation.
So, your system of equations could be ...
___
(b) Dividing the second equation by 0.8 gives
... m = 5
Using the first equation to find p, we have ...
... p + 5 = 10
... p = 5
5 lb of peanuts and 5 lb of mixture are required.
0 because the square root of zero is zero and two divided by zero is zero
