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Using the binomial distribution, the probabilities are given as follows:
a) 0.37 = 37%.
b) 0.5065 = 50.65%.
c) 0.3260 = 32.60%.
<h3>What is the binomial distribution formula?</h3>The formula is:
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
For this problem, the fixed parameter is:
p = 0.37.
Item a:
The probability is P(X = 1) when n = 1, hence:
Item b:
The probability is P(X = 3) when n = 3, hence:
Item c:
The probability is P(X = 2) when n = 4, hence:
More can be learned about the binomial distribution at brainly.com/question/24863377
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Answer:
The initial amount Sam charges is [$4 greater than] the initial amount Sully charges. Sam’s hourly rate is [$2 less than] Sully’s hourly rate.
A graph is attached for reference.
Step-by-step explanation:
Given is the graph that represents the amount in dollars that Sam charges in terms of the number of hours he works.
Where two points are (0,40) and (1,60).
Finding the slope,
Let us find the equation now,
Substituting (0,40) as (x1,y1) and slope m = 20
Here the 'y' intercept represents the initial charge of Sam.
On comparing the equations of Sam and Sully we observe that Sam initial charge is dollars.
And Sully's initial charge is dollars.
Thus Sam's initial charge is $4 greater than Sully's.
Similarly,
Slope represents their per hour charge.
The coefficient of 'x' represents their slope,
Slope in case of Sam,
is
And
Slope in case of Sully,
is
Thus on observing the slope 20 and 22, we say that the per hour charge of Sam is $2 less than that of Sully's.
