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const2013 [10]
3 years ago
15

PLEASE HELP ME!!!! ANYONE!!!!

Mathematics
2 answers:
nata0808 [166]3 years ago
6 0

Answer:0.5

Step-by-step explanation:

JUST THATS THE ANSWER.. I THINK

gtnhenbr [62]3 years ago
5 0

0.5 it’s coming up for me

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Coefficients are 2 and 3
Constant is M
6 0
3 years ago
The average number of annual trips per family to amusement parks in the UnitedStates is Poisson distributed, with a mean of 0.6
IrinaK [193]

Answer:

a) 0.5488 = 54.88% probability that the family did not make a trip to an amusement park last year.

b) 0.3293 = 32.93% probability that the family took exactly one trip to an amusement park last year.

c) 0.1219 = 12.19% probability that the family took two or more trips to amusement parks last year.

d) 0.8913 = 89.13% probability that the family took three or fewer trips to amusement parks over a three-year period.

e) 0.1912 = 19.12% probability that the family took exactly four trips to amusement parks during a six-year period.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

Poisson distributed, with a mean of 0.6 trips per year

This means that \mu = 0.6n, in which n is the number of years.

a.The family did not make a trip to an amusement park last year.

This is P(X = 0) when n = 1, so \mu = 0.6.

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-0.6}*(0.6)^{0}}{(0)!} = 0.5488

0.5488 = 54.88% probability that the family did not make a trip to an amusement park last year.

b.The family took exactly one trip to an amusement park last year.

This is P(X = 1) when n = 1, so \mu = 0.6.

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 1) = \frac{e^{-0.6}*(0.6)^{1}}{(1)!} = 0.3293

0.3293 = 32.93% probability that the family took exactly one trip to an amusement park last year.

c.The family took two or more trips to amusement parks last year.

Either the family took less than two trips, or it took two or more trips. So

P(X < 2) + P(X \geq 2) = 1

We want

P(X \geq 2) = 1 - P(X < 2)

In which

P(X < 2) = P(X = 0) + P(X = 1) = 0.5488 + 0.3293 = 0.8781

P(X \geq 2) = 1 - P(X < 2) = 1 - 0.8781 = 0.1219

0.1219 = 12.19% probability that the family took two or more trips to amusement parks last year.

d.The family took three or fewer trips to amusement parks over a three-year period.

Three years, so \mu = 0.6(3) = 1.8.

This is

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-1.8}*(1.8)^{0}}{(0)!} = 0.1653

P(X = 1) = \frac{e^{-1.8}*(1.8)^{1}}{(1)!} = 0.2975

P(X = 2) = \frac{e^{-1.8}*(1.8)^{2}}{(2)!} = 0.2678

P(X = 3) = \frac{e^{-1.8}*(1.8)^{3}}{(3)!} = 0.1607

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.1653 + 0.2975 + 0.2678 + 0.1607 = 0.8913

0.8913 = 89.13% probability that the family took three or fewer trips to amusement parks over a three-year period.

e.The family took exactly four trips to amusement parks during a six-year period.

Six years, so \mu = 0.6(6) = 3.6.

This is P(X = 4). So

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 4) = \frac{e^{-3.6}*(3.6)^{4}}{(4)!} = 0.1912

0.1912 = 19.12% probability that the family took exactly four trips to amusement parks during a six-year period.

4 0
3 years ago
Does anyone have a coursehero account that I can borrow
vagabundo [1.1K]

Answer:

No but an easy way is to just make up random email names and passwords and on each acc u get 5 free questions,

Step-by-step explanation:

Can u pls mark me brainliest

5 0
3 years ago
An obtuse angle in the figure is_____
Vesna [10]

The obtuse angel is ∠AOC. This is obtuse because it is larger then 90 degrees

Hope this helped!

~Just a girl in love with Shawn Mendes

4 0
4 years ago
Read 2 more answers
Plz help due tonight!!!
Eduardwww [97]

Answer:

<h3>x= 51°</h3><h3>Exterior angle = 131°</h3>

Step-by-step explanation:

We know that exterior angle means the sum of 2 opposite interior angles.

So,

<h3>According to the question</h3>

80 + x = 3x - 22

=  > 3x - 22 = 80 + x

=  > 3x - x = 80 + 22

=  > 2x = 102

=  > x =  \frac{102}{2}

=  > x = 51

So,

x= 51°

Now,

∠exterior = 3x -22°

=  > 3(51) - 22

=  > 153 - 22

=  > 131

7 0
3 years ago
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