Answer:
The discrete probability distribution satisfies all the features,
Step-by-step explanation:
We are given the following discrete probability distribution:
Outcome: 0 1 2 3 4 5 6
Probability: 0.0570 0.2281 0.3462 0.2547 0.0955 0.0173 0.0012
Property of discrete probability distribution:
Verification:
1. As observed all the probabilities are between 0 and 1.
2.
Thus, the given discrete probability distribution is a valid distribution.
Answer:
She ran a total distance of 8,800m or 8.8km
Step-by-step explanation:
In this question, we are asked to calculate the total distance ran by Leilani if at each meet she runs a distance that is exactly equal to a quarter of the total and she competed 22 times during the year.
Firstly, we proceed to calculate the the distance she runs at each relay for her team. We were told she runs a distance equivalent to a quarter.
Mathematically, the distance she runs will be ; 1/4 * 1,600 = a distance of 400 meters
Now, we are told that she ran at 22 different track meets last year. So the total distance she ran will be 22 * 400 = 8,800m or 8.8km
A = πr². So, 14 / 2 = 7 inches (radius). A = (3.14)(7)² || A = (3.14)(49) || A = 153.86 Inches ². Hope this helps!
The values for x and y are respectively given as
This is further explained below.
<h3>What is the values for
x and y ?</h3>
Generally, the equation for secent is mathematically given as
Therefore
80 = 130-x
x = 50
b) To Solve for y Now we find a measure of arc CD
ArcCD = 360-130-50
ArcCD = 180
In conclusion,(1/2) of the arc measure is equal to the angle that is on and inside a circle.
y = 180/2
y= 90
Read more about circle
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Answer:
1.
A. H0 : μ1 = μ2 = μ3
Ha : μ1 ≠ 2μ ≠ μ3
2. Test Statistics = 95%
3. Critical F-Value = 3.76
4. P-Value = 2.32
5. Conclusion : Reject the null hypothesis
6. Type of vehicle does effect the amount of green house gas emissions.
Step-by-step explanation:
The correct order of the steps of a hypothesis test is given following
1. Determine the null and alternative hypothesis.
2. Select a sample and compute the critical value F-test for the sample mean.
3. Determine the probability at which you will conclude that the sample outcome is very unlikely.
4. Make a decision about the unknown population.
These steps are performed in the given sequence to test a hypothesis.
The null hypothesis is rejected or accepted on the basis of level of significance. When the p-value is greater than level of significance we fail to reject the null hypothesis and null hypothesis is then accepted. It is not necessary that all null hypothesis will be rejected at 95% level of significance. To determine the criteria for accepting or rejecting a null hypothesis we should also consider p-value.
