n a certain wilderness area 1.4 mountain lions are seen each year, on average. what is the probability that in a given year exactly two mountain lions will be seen in this wilderness area? (assume that sightings are independent from each other and that the probability of seeing a mountain lion stays constant.)

Answers

Answer 1

Therefore ,the probability that in a given year exactly two mountain lions will be seen in this wilderness area is P =0.2417.

How does probability work?

Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%. When an event has a probability of 0, it has no possibility of happening, whereas when it has a probability of 1, it is almost certain to happen. When an event has a probability of 0.45 (45%), there are 45 out of 100 chances that it will occur.

Here,

λ=1.2

=> P(X =x) = [tex]\frac{e^{-\lambda} * \lambda^{x} }{x!}[/tex]

=> P(X=2) = [tex]\frac{e^{-1.4} * 1.4^{2} }{2!}[/tex]

=> P(X=2) = 0.2466 * 1.96 /2

=>P(X=2) = 0.2417

Therefore ,the probability that in a given year exactly two mountain lions will be seen in this wilderness area is P =0.2417.

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Related Questions

let f(x) = x-4 and g(x) = (x-4)^3
find the sum of the area enclosed by the graphs
Of F and g between x=3 and x=5

Answers

X=3 x 4 = 57 is the answer

A rectangle and a triangle have the same area.
The dimensions of the rectangle are 3 cm and 10 cm. The base of the triangle is 6 cm.
What is the height of the triangle? How do you know?

Answers

Answer:

Height of the triangle = 10 cm

Step-by-step explanation:

Given:

Dimensions of rectangle = 3 cm , 10 cm

Base of triangle = 6 cm

Find:

Height of the triangle

Computation:

Given that area of rectangle is equal to area of triangle

So,

(l x b) = (1/2)(b)(h)

(3 x 10) = (1/2)(6)(h)

30 = 3(h)

h = 10

Height of the triangle = 10 cm

i cant solve this help –8x + 15 < 71

Answers

Answer:

x > -7

Step-by-step explanation:

Isolate the variable, x. Treat the < sign like an equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& roots)

Multiplication

Division

Addition

Subtraction

First, subtract 15 from both sides:

-8x + 15 (-15) < 71 (-15)

-8x < 71 - 15

-8x < 56

Next, divide -8 from both sides of the equation. Note that when you divide by a negative number, you must flip the sign:

(-8x)/-8 < (56)/-8

x < (56)/-8

x > -7

x > -7 is your answer.

Answer:

Any number greater than but excluding -7.

Step-by-step explanation:

-8x + 15 < 71

-8x < 71 - 15

-8x < 56

56 divided by -8 = -7

So, that means anything greater than -7 would result in a lower number than 71.

Can someone please help with this?

Answers

Answer:

Distance over Speed (Option 2)

Step-by-step explanation:

Clculating how long it takes to travel from one place to another requires the formula T= d/s

please give a detailed explanation, im genuinely trying in this class

Answers

Answer:

C) [tex]\frac{\sqrt{6} }{14}[/tex]

Step-by-step explanation:

We multiply the conjugate (7 √2) with the denominator and numerator:

[tex]\frac{\sqrt{3} }{7\sqrt{2} } *\frac{-7\sqrt{2}}{-7\sqrt{2}} \\\\\frac{\sqrt{6} }{14}[/tex]

I also just used my calculator and it gave me this

What are the solutions to 4x^{2}-3x-2=0

Answers

Answer:

x = 1.175

x = -0.425

Step-by-step explanation:

Use quadratic formula (see picture)

a = 4

b = -3

c = -2

x = 1.175

x = -0.425

OR x = [tex]\frac{3 +/- \sqrt{41} }{8}[/tex]

-----------------------------

using factoring

4x^2-3x-2=0

The answer is 4x^2+3

Ryan says that a rectangle is a square because it has 4 right angles. Addy says that a rhombus is a square because it has 4 equal sides. Part A Who is correct? A. Only Addy B. Only Ryan C. Both Ryan and Addy D. Neither Ryan nor Addy Part B How are rectangles and squares related? Use the drop-down menus to complete the explanation. All Choose... are Choose... , but only Choose... with 4 equal sides are Choose...

Answers

Answer:

D. Neither Ryan nor Addy

Step-by-step explanation:

Square:

A square is a quadrilateral that has equal sides and all angles equal to 90 degrees.

Rectangle:

A rectangles is a quadrilateral that has equal or unequal sides and all angles equal to 90 degrees. All rectangles are not squares.

Rhombus:

A rhombus is a quadrilateral that has equal sides and all angles may or may not be equal to 90 degrees. All squares are rhombus. But all rhombus are not squares.

As both Ryan and Addy have missed out one property of square therefore both of them are incorrect.

3+p=8 what the answer??

Answers

Answer: 5

Step-by-step explanation:

Which inequalities have 4 as a solution? 1. X-85.2 <_ 14.6 4. 8x <_ 128 2. X/6> -23 5. X+4.7>21.6 3. X-43<37 Put the numbers together to form the code.

Answers

Given:

The inequalities are:

1. [tex]x-85.2\leq 14.6[/tex]

2. [tex]\dfrac{x}{6}>-23[/tex]

3. [tex]x-43<37[/tex]

4. [tex]8x\leq 128[/tex]

5. [tex]x+4.7>21.6[/tex]

To find:

The inequalities that have 4 as a solution.

Solution:

We need to put [tex]x=4[/tex] in each inequality, to check whether it is a solution or not.

1. The inequality is

[tex]x-85.2\leq 14.6[/tex]