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love history [14]
2 years ago
13

Please help me thx so much have a good day

Mathematics
1 answer:
kozerog [31]2 years ago
7 0
Is it the blank one that needs a solving if so i think it’s 2 ordered pairs i’m sorry if it’s wrong
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Suppose a random variable x is best described by a uniform probability distribution with range 22 to 55. Find the value of a tha
const2013 [10]

Answer:

(a) The value of <em>a</em> is 53.35.

(b) The value of <em>a</em> is 38.17.

(c) The value of <em>a</em> is 26.95.

(d) The value of <em>a</em> is 25.63.

(e) The value of <em>a</em> is 12.06.

Step-by-step explanation:

The probability density function of <em>X</em> is:

f_{X}(x)=\frac{1}{55-22}=\frac{1}{33}

Here, 22 < X < 55.

(a)

Compute the value of <em>a</em> as follows:

P(X\leq a)=\int\limits^{a}_{22} {\frac{1}{33}} \, dx \\\\0.95=\frac{1}{33}\cdot \int\limits^{a}_{22} {1} \, dx \\\\0.95\times 33=[x]^{a}_{22}\\\\31.35=a-22\\\\a=31.35+22\\\\a=53.35

Thus, the value of <em>a</em> is 53.35.

(b)

Compute the value of <em>a</em> as follows:

P(X< a)=\int\limits^{a}_{22} {\frac{1}{33}} \, dx \\\\0.95=\frac{1}{33}\cdot \int\limits^{a}_{22} {1} \, dx \\\\0.49\times 33=[x]^{a}_{22}\\\\16.17=a-22\\\\a=16.17+22\\\\a=38.17

Thus, the value of <em>a</em> is 38.17.

(c)

Compute the value of <em>a</em> as follows:

P(X\geq  a)=\int\limits^{55}_{a} {\frac{1}{33}} \, dx \\\\0.85=\frac{1}{33}\cdot \int\limits^{55}_{a} {1} \, dx \\\\0.85\times 33=[x]^{55}_{a}\\\\28.05=55-a\\\\a=55-28.05\\\\a=26.95

Thus, the value of <em>a</em> is 26.95.

(d)

Compute the value of <em>a</em> as follows:

P(X\geq  a)=\int\limits^{55}_{a} {\frac{1}{33}} \, dx \\\\0.89=\frac{1}{33}\cdot \int\limits^{55}_{a} {1} \, dx \\\\0.89\times 33=[x]^{55}_{a}\\\\29.37=55-a\\\\a=55-29.37\\\\a=25.63

Thus, the value of <em>a</em> is 25.63.

(e)

Compute the value of <em>a</em> as follows:

P(1.83\leq X\leq  a)=\int\limits^{a}_{1.83} {\frac{1}{33}} \, dx \\\\0.31=\frac{1}{33}\cdot \int\limits^{a}_{1.83} {1} \, dx \\\\0.31\times 33=[x]^{a}_{1.83}\\\\10.23=a-1.83\\\\a=10.23+1.83\\\\a=12.06

Thus, the value of <em>a</em> is 12.06.

7 0
3 years ago
Help math help 50 points I need alll the questions answered. Help ASAP no links or imma report you.
Ganezh [65]

Answer:

Step-by-step explanation:

x+y = 6

y = (6-x)

7x +12y = 52

7x+12(6-x) = 52

7x +72 -12x = 52

-5x = -20

x= 4     4 days at $7  = $28

           2 days at $12 = $24

 28+24 = 52

4 0
3 years ago
Mr. Epps buys 500 bags of balloons for the high school prom for $250 what is the cost per bag
Basile [38]
The answer would be 2

5 0
3 years ago
Read 2 more answers
How many ways can 6 people wait in line if Tom or John need to be last in line?
Maru [420]

Answer:

I think it will over 30 ways but im not sure

hope this helps

have a good day :)

Step-by-step explanation:

8 0
3 years ago
What is the value of y in the equation 5x+2y=20 when x=0.3
MakcuM [25]
5 multiplied by .3 is 1.5
1.5 + 18.5 = 20.
y = 9.25
3 0
3 years ago
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