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tatiyna
4 years ago
7

A classroom has a total of 26 students, 13 Students in the classroom are females and the rest are males. ​5 males students have

long hair and 9 female students wear glasses. A Student is called to the principal's office. What is the probability that the student being called is female and ​does not ​wear glasses. Explain your answer...
Mathematics
1 answer:
Nutka1998 [239]4 years ago
7 0

Answer:

15%

Step-by-step explanation:

There is 26 students 13 are females of those 13 nine of them wear glasses if you subtract 13 minus 9 you are left with 4 and if you divide that 4 by 26 you get the percentage of girls without glasses which is 15%

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Suppose we have a binomial experiment with n= 40 trials and a probability of success p= 0.50.Is it appropriate to use a normal a
exis [7]

Answer:

We can approximate to normal.

The parameters of the approximate normal distribution are:

\mu=np=40*0.5=20\\\\ \sigma=\sqrt{npq} =\sqrt{40*0.5*0.5} =\sqrt{10} =3.16

P_B(r>23)\approx 0.314

It is not unusual to have 23 or more successes. The probabiltity of this event happening is 13.4%.

Step-by-step explanation:

To approximate the binomial distribution to a normal distribution, we can calculate n*p and n*q and if both are bigger than 5 we can do the approximation.

n*p=n*q=0.5*40=20

We can approximate to normal.

The parameters of the approximate normal distribution are:

\mu=np=40*0.5=20\\\\ \sigma=\sqrt{npq} =\sqrt{40*0.5*0.5} =\sqrt{10} =3.16

The continuity correction factor is used because the binomial is a discrete function and the normal a continous function.

The probability of 23 successes must be expressed in the normal distribution as:

P_B(r>23)=P_N(r>23+0.5)=P_N(r>23.5)\\\\z=(23.5-20)/3.16=1.1076\\\\P(r>23.5)=P(z>1.1076)=0.134\\\\P_B(r>23)\approx 0.314

It is not unusual to have 23 or more successes. The probabiltity of this event happening is 13.4%.

3 0
3 years ago
How many square feet of tile would be needed to cover the area of a room 14 ft long and 12 feet wide?
-BARSIC- [3]

Answer:

Step-by-step explanation:

It’s 168 because it’s area and area means multiplication, so you would do 14 x 12 = 168

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3 years ago
HELP ME WITH THIS PLS
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Answer:

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Step-by-step explanation:

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I know the next two numbers will be 31/32 and 63/64

Step-by-step explanation:

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14*2 would be calculated first
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