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xenn [34]
3 years ago
6

Suppose that on the average, 7 students enrolled in a small liberal arts college have their automobiles stolen during the semest

er. What is the probability that more than 3 students will have their automobiles stolen during the current semeste
Mathematics
1 answer:
sineoko [7]3 years ago
3 0

Answer:

0.91824 = 91.824% probability that more than 3 students will have their automobiles stolen during the current semester.

Step-by-step explanation:

We have only the mean, which means that the Poisson distribution is used to solve this question.

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.

Suppose that on the average, 7 students enrolled in a small liberal arts college have their automobiles stolen during the semester.

This means that \mu = 7

What is the probability that more than 3 students will have their automobiles stolen during the current semester?

This is:

P(X > 3) = 1 - P(X \leq 3)

In which

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

So

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

P(X = 0) = \frac{e^{-7}*7^{0}}{(0)!} = 0.00091

P(X = 1) = \frac{e^{-7}*7^{1}}{(1)!} = 0.00638

P(X = 2) = \frac{e^{-7}*7^{2}}{(2)!} = 0.02234

P(X = 3) = \frac{e^{-7}*7^{3}}{(3)!} = 0.05213

Then

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.00091 + 0.00638 + 0.02234 + 0.05213 = 0.08176


P(X > 3) = 1 - P(X \leq 3) = 1 - 0.08176 = 0.91824

0.91824 = 91.824% probability that more than 3 students will have their automobiles stolen during the current semester.

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The net of a square pyramid and its dimensions are shown in the diagram.
nikitadnepr [17]

Answer:

The total surface area is 336ft2

Step-by-step explanation:

solution:

total suface area of the pyramid

=area of base square +(12)2 = 4 (1/2 x 12 x 8)

=144+192

=336ft2

then the total surface area is 336ft2

4 0
3 years ago
Max is lifting weights he wants to have 240 lb on the bar how many 15 lb weights should be put on the bar
ipn [44]

Answer:

16

Step-by-step explanation:

240 ÷ 15 = 16

16 x 15 = 240

To lift 240 he would need to put 16, 15 lb weights on the bar

3 0
3 years ago
Please help and show your work​
BabaBlast [244]
Marcus shoes: 35.99(5.5%)= (about) $1.98(tax) so 35.99+1.98= 37.97

Tia shoes: 39.99(9%)= (about)3.60 (tax) so 39.99+3.60=43.59

However it’s 15% off so 43.59(15%)= 6.54 so 43.59-6.54= 37.05

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6 0
4 years ago
Twice Brittany’s age is less than the age of Abraham Lincoln when he died. President Lincoln was 56 years old at the time of his
andrew11 [14]

Answer:

2b < 56

n = b - 2

b = n + 2

n < 27

b < 28

No, because the difference between Brittany and Nate's age is 2years

Step-by-step explanation:

A.)

Twice Brittany’s age is less than the age of Abraham Lincoln when he died. President Lincoln was 56 years old at the time of his death

Let Brittany's age = b

Twice Brittany's age = 2 × b = 2b

Lincoln's age = 56

2b < 56

B.)

Nate's age = n

Nate is 2 years younger than brittany who is aged 'b'

n = b - 2

C.) b = n + 2

D.)

If 2b < 56 and b = n + 2

2(n + 2) < 56

2n + 2 < 56

2n < 56 - 2

2n < 54 ; n < 27

2b < 56

b < 56/2

b < 28

No, because the difference between Brittany and Nate's age is 2years

4 0
3 years ago
*30 POINTS*
shepuryov [24]

Answer:

Step 4

Step-by-step explanation:

Step 4 is incorrect because when you add the number from the right side, -34, you make it a positive coming to the left side, -17, which stays the same. so 34+-17, will give you 17.

This will make Step 4: Addition property of equality: -17x=40

Therefore Step 5 is also incorrect, and should look like: Step 5: Division Property of Equality: x= 40/-17

5 0
3 years ago
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