Using the Poisson distribution, the probabilities are given as follows:
- Less than 6: 0.3837 = 38.37%.
- Exactly 6: 0.1586 = 15.86%.
<h3>What is the Poisson distribution?</h3>
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:
The parameters are:
- x is the number of successes
- e = 2.71828 is the Euler number
is the mean in the given interval.
For this problem, the mean is given by:
The probability that exactly 6 tickets are written on a randomly selected day from this population is P(X = 6), hence:
[tex]P(X = 6) = \frac{e^{-6.4}(6.4)^{6}}{(6)!} = 0.1586/tex]
For less than 6, the probability is given by:
P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)
Using the same formula to find each value and adding them, we have that:
P(X < 6) = 0.3837.
More can be learned about the Poisson distribution at brainly.com/question/13971530
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The area of the given parallelogram is 120.
Step-by-step explanation:
Step 1:
The parameters needed to determine the area of a parallelogram are the base length and height.
The base length of this parallelogram is 15 inches while its height is 8 inches.
The area of a rectangle is determined by multiplying the base length with the height.
Step 2:
The area of the parallelogram 
Here the base length is 15 inches and the height is 8 inches.
The area of the parallelogram 
So the area of the given parallelogram is 120.
You can figure out this problem by multiplying 60 by 1.5
60x1.5=90
The car will go 90 miles in an hour and a half.
Answer:
number one. 186
number two. 36
Step-by-step explanation:
FOR NUMBER ONE:
the area of a trapezoid formula is 
where a and b are the bases and h is the height. so we have to add in the numbers into the formula
= <em>81</em>
and the paralellogram formula is b×h. where b is the base and h is height
15 × 7 = <em>105</em>
so the area of the figure is 81 + 105 is 186 in^2
FOR NUMBER TWO:
the area of the square formula is 
. where s is the side
4^2 = <em>16</em>
and for the paralellogram is b × h
4 × 5 = <em>20</em>
so the area of the figure is 16 +20 = 36 in^2
hope this helps! ;)
