The Normal probability distribution function is left-skewed, right-skewed, or symmetric depending on the values of the variance and the standard deviation might the mean of a probability distribution for a discrete random variable be less than (or greater than) the average of possible values.
A probability distribution is a mathematical function that describes the probabilities of different possible values of a variable. Probability distributions are often represented using graphs or probability tables.
Probability distributions are called discrete probability distributions, and the set of outcomes is inherently discrete. For example, if you roll a die, all possible outcomes are discrete and you get a large number of outcomes. Also called probability mass function.
Learn more about probability distribution at
brainly.com/question/9385303
#SPJ4
Answer:
0.0076 = 0.76% probability that all five plants emerged from treated seeds
Step-by-step explanation:
The plants were chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
6 + 6 = 12 seeds, which means that 
6 treated, which means that 
Five sprouted, which means that 
What is the probability that all five plants emerged from treated seeds?
This is P(X = 5). So


0.0076 = 0.76% probability that all five plants emerged from treated seeds
The perimeter of the rectangular plot of land is given by the expression below

On the other hand, since the available money to buy fence is D dollars,

Furthermore, the area of the enclosed land is given by

Solving the second equation for x,

Substituting into the equation for the area,

To find the maximum possible area, solve A'(y)=0, as shown below

Therefore, the corresponding value of x is

<h2>Thus, the dimensions of the fence that maximize the area are x=D/16 and y=D/12.</h2><h2>As for the used money,</h2>

<h2>Half the money was used for the top and the bottom, while the other half was used for the sides.</h2>
Answer:
For 600600 miles, it will use
(600600*55)/120120 = 275 gallons
Using 3030 gallons, it can travel
(3030*120120)/55 = 6617520 miles
Answer:
Here's what I get.
Step-by-step explanation:
1. Representation of data
I used Excel to create a scatterplot of the data, draw the line of best fit, and print the regression equation.
2. Line of best fit
(a) Variables
I chose arm span as the dependent variable (y-axis) and height as the independent variable (x-axis).
It seems to me that arm span depends on your height rather than the other way around.
(b) Regression equation
The calculation is easy but tedious, so I asked Excel to do it.
For the equation y = ax + b, the formulas are

This gave the regression equation:
y = 1.0595x - 4.1524
(c) Interpretation
The line shows how arm span depends on height.
The slope of the line says that arm span increases about 6 % faster than height.
The y-intercept is -4. If your height is zero, your arm length is -4 in (both are impossible).
(d) Residuals

The residuals appear to be evenly distributed above and below the predicted values.
A graph of all the residuals confirms this observation.
The equation usually predicts arm span to within 4 in.
(e) Predictions
(i) Height of person with 66 in arm span

(ii) Arm span of 74 in tall person
