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Anna [14]
2 years ago
7

The data in the tables below were collected from first year students at a community college. The variable is "number of credit c

ards." If the table below is a complete probability distribution, what must be the value of T?
Number of Credit Cards (x) 0 1 2 3 4 5
Number of Students (f) 122 40 28 2 2 6
Probability P(x) 0.61 T 0.14 0.01 0.01 0.03
A. 0.4
B. 0.04
C. 0.2
D. 0.02
Mathematics
1 answer:
Oliga [24]2 years ago
7 0

Solution :

It is given that P(x) is said to be complete or proper probability distribution if it satisfies the following two ways :

1. $P(x) \geq 0$

2. $\sum_z P(x) = 1$

Now consider,

$\sum_z P(x) = 1$

⇒ $P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)+P(x=5)=1$

⇒ $0.61+T+0.14+0.01+0.01+0.03=1$

⇒ $0.8+T=1$

⇒ $T=1-0.8$

       = 0.2

Therefore, the value of T is 0.2

Thus, option (c) is correct.

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The odds of winning a goldfish toss game are 1:49. The probability of winning a claw game is 30%. Which game gives you a better
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What is the area of a shaded segment with an area of 12 and an arch angle of 60
Scorpion4ik [409]
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Let S = the area of the shaded portion</span><span>
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3 years ago
Solve for X, please show work!
Molodets [167]

Answer:

the solution set consists of {x < -2 ∪ x > 10/3}

Step-by-step explanation:

|3x - 2| > 8 is equivalent to the following set of inequalities:

1) 3x - 2 > 8

and

2) -(3x - 2) > 8

In case 1, above, add 2 to both sides, obtaining 3x > 10, or x > 10/3.

In case 2, above, carry out the indicated multiplication first:

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Next, divide both sides by -3, remembering to reverse the direction of the inequality sign:  x < -2.

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5 0
3 years ago
Read 2 more answers
B. Rob would like to create a triangle that is
Phantasy [73]

Answer:

14y + 9

Step-by-step explanation:

Perimeter of the given triangular above = sum of all its sides.

= (y + 9) + 2y + (4y - 1) = y + 9 + 2y + 4y -1

Collect like terms

= y + 2y + 4y + 9 - 1

= 7y + 8

If Bob creates a new triangle that is 7 less than twice of the perimeter of the triangle above, the expression of the new triangle would be:

2(7y + 8) - 7

Simplify

2*7y + 2*8 - 7

14y + 16 - 7

New perimeter = 14y + 9

5 0
3 years ago
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