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Phoenix [80]
3 years ago
14

I need help solving it

Mathematics
1 answer:
Advocard [28]3 years ago
5 0
4 fraction 3/10 hope it helped you

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According to government data, 75% of employed women have never been married. Rounding to 4 decimal places, if 15 employed women
blagie [28]

Answer:

We are given that According to government data, 75% of employed women have never been married.

So, Probability of success = 0.75

So, Probability of failure = 1-0.75 = 0.25

If 15 employed women are randomly selected:

a. What is the probability that exactly 2 of them have never been married?

We will use binomial

Formula : P(X=r) =^nC_r p^r q^{n-r}

At x = 2

P(X=r) =^{15}C_2 (0.75)^2 (0.25^{15-2}

P(X=2) =\frac{15!}{2!(15-2)!} (0.75)^2 (0.25^{13}

P(X=2) =8.8009 \times 10^{-7}

b. That at most 2 of them have never been married?

At most two means at x = 0 ,1 , 2

So,  P(X=r) =^{15}C_0 (0.75)^0 (0.25^{15-0}+^{15}C_1 (0.75)^1 (0.25^{15-1}+^{15}C_2 (0.75)^2 (0.25^{15-2}

 P(X=r) =(0.75)^0 (0.25^{15-0}+15 (0.75)^1 (0.25^{15-1}+\frac{15!}{2!(15-2)!} (0.75)^2 (0.25^{15-2})

P(X=r) =9.9439 \times 10^{-6}

c. That at least 13 of them have been married?

P(x=13)+P(x=14)+P(x=15)

={15}C_{13}(0.75)^{13} (0.25^{15-13})+{15}C_{14} (0.75)^{14}(0.25^{15-14}+{15}C_{15} (0.75)^{15} (0.25^{15-15})

=\frac{15!}{13!(15-13)!}(0.75)^{13} (0.25^{15-13})+\frac{15!}{14!(15-14)!} (0.75)^{14}(0.25^{15-14}+{15}C_{15} (0.75)^{15} (0.25^{15-15})

=0.2360

8 0
3 years ago
QUESTION 3 Toyota provides an option of a sunroof and side airbag package for its Corolla model. This package costs $1400. Assum
Orlov [11]

Answer:

n=601

Step-by-step explanation:

Formula used:

n=z(\frac{\alpha }{2})^2\frac{p(1-p) }{E^2}

Solution:

n=z(\frac{\alpha }{2})^2\frac{p(1-p) }{E^2}

Where,

\frac{\alpha }{2}=0.025

As there is no previous estimate for p

Then, p=0.5

Here on using the table

z(\frac{\alpha }{2}) =1.959963985

Also,

E=0.04

p=0.5

Thus,

n=600.2279407

On approximating the value,

n=601

6 0
3 years ago
Please help me<br><br> Determine the value of base b if (152)b = 0x6A. Please show all steps.
egoroff_w [7]

Answer:

The value of b is, 8

Step-by-step explanation:

To determine the value of b:

Given:

(152)_b = 0x6A               ....[1]

Since, 0x6A represents the hexadecimal form.

To convert this hexadecimal form into decimal form:

(6A)_{16}= (6 \times 16^1)+(A \times 16^0)=(6 \times 16)+(10 \times 1) =96+10 = 106

⇒0x6A=106(decimal form)

Now we have to convert this decimal form into octal

8  |  106

8   |  13   | 2

    |   1    |  5

        1

Then, the octal form we get, (152)_8

Substitute this in [1] we have;

(152)_b = (152)_8

On comparing both sides we have;

b = 8

Therefore, the value of b is, 8

5 0
3 years ago
Short note of harmer <br>​
Sonja [21]

Answer:

Physical or psychological damage or injury: The storm did great harm to the crops. 2. Immoral or unjust effects: They made a mistake and meant no harm

6 0
3 years ago
If one letter is chosen at random from the word assists, what is the probability that the letter chosen will be an "s"?
OLEGan [10]

Answer:

4/7 or 57%

There are 7 letters in the word "assists" and 4 of them are "s"

4 divided by 7 will give you the percentage

7 0
3 years ago
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