Answer:
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Step-by-step explanation:
The outcome for the flip is 2.
Probability:
Probability refer the possibility of the event required.
The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favorable outcomes and the total number of outcomes.
Given,
There are 4 coins.
You get a dollar for every head. all four coins are flipped.
To find the outcome of the flips.
The possible outcomes from the initial flip are:
"4 heads" x 1
"3 heads" x 4
"2 heads" x 6
"1 heads" x 4
"0 heads" x 1
This gives an expected return of
=> (4 + 12 + 12 + 4 + 0)/16 = 2
So, the outcome is 2.
Either if you keep it then you have 2 as outcome of the flips, otherwise if you reflip the coins then you will get the same probability for it also.
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When we make inferences about the difference of two independent population proportions, we assume that it is a random sample, and the number of successes and failures are at least 15 in each group.
Two independent proportions tests involve comparing the proportions of two unrelated datasets.
For these two datasets to be regarded as an independent population, the following must be true or assumed to be true
- The datasets must represent a random sample
- Each dataset must contain at least 15 successes and failures
Hence, the above highlights are the assumptions of two independent population proportions.
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The linear relationship which exists between the change in weight and number of days of hibernation in a hedgedog can be modeled using the equation y = - 0.03 + 0
- Change in weight per day of hibernation = - 0.03
- Change in weight for 115 days = - 3.45 ounces
A linear model can be created using the data in the table given using a regression calculator or excel ;
The linear model obtained in the form y = m + bx is :
- y = - 0.03x + 0
- y = change in weight
- x = number of days of hibernation
- Intercept = 0
- Slope = -0.03
- The slope value of the function gives the change in weight value per number of days of hibernation ; which is -0.03.
- Using the regression equation, substitute, the vlaue of x = 115
- -0.03(115) + 0 = - 3.45
Therefore, the change in weight after 115 days of hibernation is - 3.45 ounces.
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