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stellarik [79]
3 years ago
11

How do you do approximate probability

Mathematics
1 answer:
crimeas [40]3 years ago
4 0
<span>1.Verify whether n is large enough to use the normal approximation by checking the two appropriate conditions.
<span>2.Translate the problem into a probability statement about X.</span></span>
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The probability a person is infected by a certain cold virus is 0.2. If a random sample of 12 people is taken, what is the proba
inna [77]

Answer:

If 0.2 = 20%, The probability that 1 person will be infected is 100%, according to theory.

3 0
2 years ago
A bus travels on an east-west highway connecting two cities A and B that are 100 miles apart. There are 2 services stations alon
melamori03 [73]

Answer:

51/4

Step-by-step explanation:

To begin with you have to understand what is the distribution of the random variable. If X represents the point where the bus breaks down. That is correct.  

X~ Uniform(0,100)

Then the probability mass function is given as follows.

f(x) = P(X=x) = 1/100  \,\,\,\, \text{if} \,\,\,\, 0 \leq x \leq 100\\f(x) = P(X=x) = 0  \,\,\,\, \text{otherwise}

Now, imagine that the D represents the distance from the break down point to the nearest station. Think about this, the first service station is 20 meters away from city A, and the second station is located  70 meters away from city A then the mid point between 20 and 70  is (70+20)/2 = 45 then we can represent D as follows

D(x) =\left\{ \begin{array}{ll}  x  & \mbox{if } 0\leq x \leq 20 \\  x-20 & \mbox{if } 20\leq x < 45\\                70-x & \mbox{if } 45 \leq x \leq 70\\                x-70 & \mbox{if } 70 \leq x \leq 100\\ \end{array}\right.

Now, as we said before X represents the random variable where the bus breaks down, then we form a new random variable Y = D(X), Y is a random variable as well, remember that there is a theorem that says that

E[Y] = E[D(X)] = \int\limits_{-\infty}^{\infty} D(x) f(x) \,\, dx

Where f(x) is the probability mass function of X. Using the information of our problem

E[Y] = \int\limits_{-\infty}^{\infty}  D(x)f(x) dx \\= \frac{1}{100} \bigg[ \int\limits_{0}^{20} x dx +\int\limits_{20}^{45} (x-20) dx +\int\limits_{45}^{70} (70-x) dx +\int\limits_{70}^{100} (x-70) dx  \bigg]\\= \frac{51}{4} = 12.75

3 0
3 years ago
Question 4(Multiple Choice Worth 1 points)
lianna [129]

Answer:

Ox=4 is the answer for the question

7 0
2 years ago
What is the perimeter of the triangle
KengaRu [80]

The perimeter of the triangle is 40 units

<h3>Perimeter of a triangle</h3>

From the question, we are to determine the perimeter of the given triangle

From the given diagram, we can observe that the triangle is a right triangle

The vertical length of the triangle is 15 units

and the horizontal length of the triangle is 8 units

Thus,

We can find the hypotenuse by using the<em> Pythagorean theorem </em>

Let the hypotenuse be h

Then,

h² = 15² + 8²

h² = 225 + 64

h² = 289

h = √289

h = 17 units

Now, for the perimeter of the triangle

The perimeter of a triangle is the sum of all its three sides

Thus,

The perimeter. P, of the triangle is

P = 15 + 8 + 17

P = 40 units

Hence, the perimeter of the triangle is 40 units

Learn more on Calculating perimeter here: brainly.com/question/17394545

#SPJ1

4 0
1 year ago
0.25 x 84 = what huh what someone please help okay please my gosh also show work
steposvetlana [31]
0.25=25/100=1/4. 1/4×84=84/4=21. The answer is 21
8 0
2 years ago
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