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Inga [223]
3 years ago
7

Dorothy Little purchased a mailing list of 2,000 names and addresses for her mail order business, but after scanning the list sh

e doubts the authenticity of the list. She randomly selects five names from the list for validation. If 40% of the names on the list are not authentic, and X is the number of non-authentic names in her sample, P(X=0) is (use calculator) a. 0.8154. b. 0.0467. c. 0.0778. d. 0.4000.
Mathematics
1 answer:
amm18123 years ago
8 0

Answer:  c.  0.0778

Step-by-step explanation:

Let  X is the number of non-authentic names in her sample with parameter :

n= 5 and p=40% = 0.40

Binomial probability distribution, the probability of getting success in x trials :-

P(X=x)=^nC_xp^x(1-p)^{n-x}

We have ,

P(X=0)=^{5}C_0(0.40)^0(1-0.40)^{5}\\\\=(1)(0.60)^{5}\\\\=0.07776\approx0.0778

Thus , the correct answer is option c. 0.0778

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Which list of decimal numbers is in ascending order?
Fittoniya [83]

Answer:

12.252, 12.26, 12.387, 12.4

Step-by-step explanation:

These are the only numbers in a series that are always increasing.

The first series (0.13, 0.31, 0.04, 0.5) and fourth series (6.009, 6.015, 6.241, 6.2) all have an area where they decrease (0.04 and 6.2 respectively).

The second series of numbers is in decreasing order, rather than increasing order. This can not be the answer.

3 0
3 years ago
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Find the inequality represented by the graph?
vitfil [10]

Answer:

y > -2/3x + 3

Step-by-step explanation:

Well lets first start with the beginning and look at its features.

<u>                                                           Features                                                          </u>

- Dashed line

- Shaded up

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- y intercept at 3

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So if the line is dashed with the shade going up that means the inequality starts like this,

y >

We can tell that the y intercept is at 3 because that the point the line touches the y axis.

So we got y > 3,

To find slope we use the following formula,

\frac{y^2-y^1}{x^2-x^1},

So we can use points (0,3) and (3,1).

1 is y2 and 3 is y1 so 1 - 3 = -2

3 - 0 = 3

Slope: -2/3x

<em>Thus,</em>

<em>the inequality is y > -2/3x + 3.</em>

<em />

<em>Hope this helps :)</em>

5 0
3 years ago
The complement of set M is ______.
Firlakuza [10]

Answer:

M' is {-5, -4, -3, -2, -1, 0, 1, 3, 5, 6}

Step-by-step explanation:

6 0
3 years ago
Factor this x^3 + 27
masya89 [10]
(x+3)(x^2-3x+9)

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8 0
3 years ago
Five men and 5 women are ranked according to their scores on an examination. Assume that no two scores are alike and all possibl
serg [7]

Answer:

P(X=i) where i = 1,2,3,4,5,6,7,8,9,10 = 1/2, 5/18, 5/36, 5/84, 5/252, 1/252, 0, 0, 0, 0.

Step-by-step explanation:

X denotes the highest ranking achieved by the woman.

When X=1, the top ranked person is a female.

When X=2, the first person is a male and the second ranked person is a female.

Similarly, when X=3, the first two ranked persons are male and the third one is a female.

When X=4, the first three persons are male and the fourth one is a female.

When X=5, the first four persons are males and the fifth person is a female.

When X=6, the first five people are males and the sixth person is a female. The rest of the four people are also females since there are only five men in a sample space.

The probability for X=7, 8, 9, 10 is zero because there are only five men who can achieve the first five positions and the last highest rank that can be achieved by a woman is 6.

To compute the probabilities, we will use the formula:

<u>No. of ways a female can be ranked X/Total number of ways to rank 10 people</u>

Note that the total number of ways of ranking 10 different people is 10P10 or 10!

For X=1, the first position can be taken by any of the 5 women. The possible ways of the first person being a woman is 5C1. The rest of the 9 people can take any of the ranks. They can be ordered in 9P9 ways.

So, P(X=1) = (5C1)(9P9)/(10P10) = (5 x 362880)/(3628800) = 1/2

For X=2, the first rank must be taken by a male. The number of ways to arrange the first person as a male out of the 5 men can be calculated by 5P1. The second position must be taken by a female and rest of the 8 positions can be taken by any of the 8 people in 8P8 ways.

So, P(X=2) = (5P1)(5C1)(8P8)/(10P10) = (5 x 5 x 40320)/(3628800) = 5/18

For X=3, first two people must be men and the number of ways to arrange 2 out of 5 males at the first two positions is 5P2. The third position is a female. The rest of the 7 people can be ordered in 7P7 ways.

P(X=3) = (5P2)(5C1)(7P7)/(10P10) = (20 x 5 x 5040)/(3628800) = 5/36

P(X=4) = (5P3)(5C1)(6P6)/(10P10) = (60 x 5 x 720)/(3628800) = 5/84

P(X=5) = (5P4)(5C1)(5P5)/(10P10) = (120 x 5 x 120)/(3628800) = 5/252

P(X=6) = (5P5)(5C1)(4P4)/(10P10) = (120 x 5 x 24)/(3628800) = 1/252

P(X=7) = 0

P(X=8) = 0

P(X=9) = 0

P(X=10) = 0

7 0
3 years ago
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