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marissa [1.9K]
3 years ago
8

The median of a continuous random variable having distribution function F is that value m such that F(m) = 1/2 . That is, a rand

om variable is just as likely to be larger than its median as it is to be smaller. The mode of a continuous random variable having pdf f(x) is the value of x for which f(x) attains its maximum. Find the median and the mode of X if X is(a) uniformly distributed over (a, b)(b) normal with parameters μ, σ2(c) exponential with parameter λ
Mathematics
1 answer:
neonofarm [45]3 years ago
7 0

Answer:

Step-by-step explanation:

To find median and mode for

a) In a uniform distribution median would be

(a+b)/2 and mode = any value

b) X is N

we know that in a normal bell shaped curve, mean = median = mode

Hence mode = median = \mu

c) Exponential with parameter lambda

Median = \frac{ln2}{\lambda }

Mode =0

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Suppose you have a standard deck of 52 cards. What is the probability that if you select a card at random that it does not have
mr Goodwill [35]

0.92

Step-by-step explanation:

There are 4 cards in a deck of 52 cards that has a face value of 3. That means that the other 48 cards don't have a face value of 3. Therefore, the probability of picking a card of this deck that doesn't have a face value of 3 is

P =\dfrac{48}{52} = 0.92

4 0
3 years ago
Kristen takes 2 pages of notes during each hour of class. Write an equation that shows the relationship between the time in clas
kupik [55]

Answer:

y = 2x

Step-by-step explanation:

Kristen writes 2 pages of notes per hour in class. This is the rate of change. The function can be written as a linear equation y = mx where m = 2 pages per hour.

The function is y = 2x where x is hours in class and y is the number of pages.

5 0
3 years ago
6 × 4/6 = 24 × 1/6<br><br> True<br> False
Anton [14]

Answer:

True

Step-by-step explanation:

6 * 4/6 = 24 /6 = 24 * 1/6 = 4

This is  a true statement

5 0
3 years ago
-1/2x+3=-4x+7
borishaifa [10]
Like a first step bc. there is a denominator this will be more usefully eliminate it so what you can make it multiplied both sides by 2 
- so will get 

-2/2x +2*3/2 = 2(-4x+7)/2

(-2x +6)/2 = 2(-4x+7)/2   common denominator the 2 so make the numerators equal and solve for x 

-2x+6=-8x+14

6x=8

hope helped 


5 0
3 years ago
What’s the answer to this?
inna [77]

Since the triangle is equilateral, all its angles are equal to 60°

AO is the bisector⇒∠OAD = 30°

AO is the hypotenuse, ∠OAD = 30°⇒

OD=5*2=10m

By the Pythagorean theorem

10^2=AD^2+5^2\\AD=\sqrt{100-25} \\AD=\sqrt{75}

AC=AD+DC=2\sqrt{75}=10\sqrt{3}

S=\frac{a^2\sqrt{3} }{4}

S=\frac{(10\sqrt{3})^2\sqrt{3}  }{4} =\frac{300\sqrt{3} }{4} =75\sqrt{3} m^2

Answer: A) S=75\sqrt{3}m²

P.S. Hello from Russia and sorry for my bad english :^)

3 0
3 years ago
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