The range of salary is (a) the range of salaries is from $38,500 to $39,800.
<h3>How to determine the salary range?</h3>
The given parameters are:
Average salary = 39,800
Vary = Less than $1300
Let the salary be x.
So, we have:
x = 39,800
When the salary varies, the equation becomes
x = 39800 - 1300
Evaluate
x = 38500
This means that the salary is from 38500 to 39800
Hence, the range of salary is (a) the range of salaries is from $38,500 to $39,800.
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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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Answer:
Step-by-step explanation:
13-2x 5
13-5= 8
2x 8
Answer:
a) 
b) 
And replacing we got:

c) 


And adding we got:

Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
Assuming the following questions:
a. exactly five
For this case we can use the probability mass function and we got:

b. at least one
For this case we want this probability:

And we can use the complement rule and we got:


And replacing we got:

c. between four and six, inclusive.
For this case we want this probability:




And adding we got:

Answer:
24.5
Step-by-step explanation:
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