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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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nikdorinn [45]
The GCF is the first answer
4 0
3 years ago
Someone can help me with this please​
Marina CMI [18]

Answer:

x = -1 and x = 7

Step-by-step explanation:

2x^2 + 2x - 14x - 14

2x^2 - 12x -14

Divide through by 2 to simplify the expression

x^2 - 6x - 7

x^2 - 6x -7

Now, let's think of two numbers that when added up gives -6 and when multiplied gives -7

Yes! It's -7 and +1

-7 + 1 = -6 , and -7* 1 = -7

Now, lets substitute these numbers in the expression

x^2 -7x + x - 7

factorize

x(x - 7) + 1(x - 7)

(x + 1) (x - 7)

Now equate to zero

(x + 1) (x - 7) = 0

x + 1 = 0

subtract 1 from both sides

x +1 - 1 = 0 -1

x = -1

Also,

x - 7 = 0

Add 7 to both sides

x -7 + 7 = 0 + 7

x = 7

Hence, x = -1 and x =7

6 0
3 years ago
Which linear equation best represents the line of best fit for the scatterplot?
Lena [83]

Answer:

y = -\frac{1}{3}x

Step-by-step explanation:

The scatter plot trends downward from left-> right, meaning that it is negative. Next, use two points to solve for the value for the slope.

In this case, I will use (-3 , 1) & (0 , 0)

Use the following equation. m = slope:

m = \frac{y_2 - y_1}{x_2 - x_1}

Let:

(x_1 , y_1) = (0 , 0)\\(x_2 , y_2) = (-3 , 1)

Plug in the corresponding numbers to the corresponding variables:

m = \frac{1 - 0}{-3 - 0} = \frac{1}{-3} = -\frac{1}{3}

Your answer will be:

y = -\frac{1}{3}x

7 0
2 years ago
Simplify 6m2n3 – 3m3n2 + 8m2n3 + 12m3n2
NISA [10]
Hello! Hope I can assist you.

Let us simplify some terms first!

6m\cdot \:2n\cdot \:3 \ \textgreater \  36mn
3m\cdot \:3n\cdot \:2 \ \textgreater \  2\cdot \:3^2mn
8m\cdot \:2n\cdot \:3 \ \textgreater \  48mn
12m\cdot \:3n\cdot \:2 \ \textgreater \  72mn

36mn-2\cdot \:3^2mn+48mn+72mn

From here, group like terms
36mn-2\cdot \:3^2mn+48mn+72mn

\mathrm{Add\:similar\:elements:}\:36mn+48mn+72mn=156mn
156mn-2\cdot \:3^2mn

2\cdot \:3^2mn \ \textgreater \  2\cdot \:9mn \ \textgreater \  18mn

156mn-18mn

\mathrm{Add\:similar\:elements:}\:156mn-18mn=138mn

Hope this helps!
6 0
3 years ago
Carlos is tiling a kitchen counter that is 12 feet by 3 feet.The counter has a rectangular hole 3 feet by 2 feet cut in it for a
alina1380 [7]

Answer:

Carlos has to tile 30 sq ft


3 0
3 years ago
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