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s2008m [1.1K]
2 years ago
11

A group of people were asked whether they watch television or read newspaper to get daily news.

Mathematics
2 answers:
beks73 [17]2 years ago
8 0

Watching television and reading newspaper are independent events because P(A|B)=P(A) and P(B|A)=P(B)



kenny6666 [7]2 years ago
7 0
<span>Watching television and reading newspaper are not independent events because P(A|B)=P(A) and P(B|A)=P(B) .
 I might be wrong so try to look at it a little closer before you take my word for it.
</span>
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If a random variable X is exponentially distributed with parameter λ=2, then P(X≥1) is equal to
Rasek [7]

Answer:

D. 0.1353

B. 0.0473

Step-by-step explanation:

For an exponentially distributed random variable, the cumulative distribution function is:

P(x\leq a) = 1 - e^{-\lambda a}\\P(x\geq a) = e^{-\lambda a}

with parameter λ=2, then P(X≥1) is equal to:

P(x\geq 1) = e^{-2*1}=0.1353

D. 0.1353

with parameter λ=1.5, then P(2≤X≤4) is equal to

P(2\leq x \leq 4) = P(x \leq 4) - P(x\leq 2)\\P(2\leq x \leq 4) =1 - (e^{-1.5*4}) - (1-(e^{-1.5*2}))\\P(2\leq x \leq 4) = 0.0473

B. 0.0473

7 0
2 years ago
A salesperson receives step commission on sales calculated as follows:
kykrilka [37]

Answer:

$2278.846

Step-by-step explanation:

Given the following commision steps :

8% on first $1000;

12% next $2000;

20% on sales above $3000

Recorded sales for a week :

Monday $1500.00

Tuesday $3000.00

Wednesday $ 970.00

Thursday $4563.81

Friday $2760.42

This assu es that commision is calculated after weekly sales:

Total:

(1500 + 3000 + 970 + 4563.81 + 2760.42)

= $12794.23

8% on first $1000

0.08 × $1000 = $80

12% of $2000 = $240

20% of $(12794.23 - 3000)

= 0.2 × 9794.23

= 1958.846

Total commision for the week :

$(80 + 240 + 1958.846)

= $2278.846

7 0
2 years ago
6[4x(72-63) divided by 3]
spin [16.1K]

Answer:

72

Step-by-step explanation:

When an expression contains more than one sign, the rule of BODMAS is applied. Bracket of Division Multiplication Addition and Subtraction. And the signs will be solved in that order.

6[4x(72-63) divided by 3]

We solve the bracket first

(72-63)

9

The next is multiplication, inside the bigger bracket.

6[4x9 divided by 3]

Then division

6(36 divided by 3)

6(12)

72

7 0
2 years ago
Read 2 more answers
Use the diagram to solve. What is 135% of 280?
Darina [25.2K]
378% is the correct answer. Divide 280 by 100 to find 1 percent. Then multiply by 135 to find 135%
4 0
1 year ago
Read 2 more answers
If r=[x,y,z] and r0=[x0,y0,z0], describe the set of all points (x,y,z) such that Ir-r0I =1.
sdas [7]

Answer:

The points (x,y,z) that respond to Ir-r0I =1, are all that describes the form (x-x_0)^2+(y-y_0)^2+(z-z_0)^2=1 with:

-1+x₀<x<1+x₀

-1+y₀<y<1+y₀

-1+z₀<z<1+z₀

Step-by-step explanation:

All points required in this problem came from applying the definition of modulus of a vector:

Ir-r0I =1.

|(x,y,z)-(x_{0},y_{0},z_{0})|=|(x-x_{0},y-y_{0},z-z_{0})|=\sqrt{(x-x_{0})^2+(y-y_{0})^2+(z-z_{0})^2}=1\\(x-x_{0})^2+(y-y_{0})^2+(z-z_{0})^2=1^2=1

5 0
2 years ago
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