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inna [77]
4 years ago
10

about 20% of the population of a large country is nervous around strangers. if two people are randomly selected , what is the pr

obability both are nervous around strangers? what is the probability at least one is nervous around strangers?
Mathematics
2 answers:
mamaluj [8]4 years ago
8 0

The probability that both are nervous around strangers is (1/5)(1/5)=1/25

The probability that at least one is nervous around strangers is 1 - 1/25 = 24/25.

Dafna11 [192]4 years ago
3 0

Answer: Probability both are nervous around strangers=0.04

Probability at least one is nervous around strangers = 0.36

Step-by-step explanation:

Given : The probability of the population of a large country is nervous around strangers : p= 20%=0.20

Sample size : n=2

Let x be the number of success.

Using Binomial , P(x)=^nC_xp^x(1-p)^{n-x}

The probability both are nervous around strangers:-

P(x=2)=^2C_2(0.2)^2(0.8)^{0}=(0.2)^2=0.04

The probability at least one is nervous around strangers :-

P(x\geq1)=1-P(x=0)\\\\=1-^2C_0(0.2)^0(0.8)^{2}\\\\1-(0.8)^2=1-0.64=0.36

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Answer:

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Step-by-step explanation:

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6 0
3 years ago
Ginnie plans to paint a wall. She measures its height and width. She finds that she needs enough paint to cover 8 square meters.
SOVA2 [1]

Answer:

The 8 square meters represent the product of the height by the width of the wall and therefore, its area.

Step-by-step explanation:

Ginnie is going to paint a wall and measures the height and the width, the walls are usually in the form of a rectangle or square. To find the area of both we need to multiply the height by the width (in the case of the square both are the same) and this will give us the total amount of paint that we need to paint the wall.

In this example, Ginnie finds that she needs enough paint to cover 8 square meters, therefore, these 8 square meters represent the product of the height by the width (that we don't know but it doesn't matter) of the wall and therefore, its area.

7 0
3 years ago
At a local dealership 30% of cars are SUVs, 50% of the cars are painted white, and 15% are white and an SUV. If we randomly sele
alex41 [277]

Answer:

1/8, 0.0625 , or 6.25%

Step-by-step explanation:

50% of the cars are painted white.

1/2 * 1/2 = 1/4 * 1/4 = 1/8

Probability of A occuring 4 time(s) = 0.54 = 0.0625

Probability of A NOT occuring = (1 - 0.5)4 = 0.0625

Probability of A occuring = 1 - (1 - 0.5)4 = 0.9375

6 0
3 years ago
Out of 100 employees at a company, 92 employees either work part time or work 5 days each week. There are 14 employees who work
Alexus [3.1K]

Answer: 0.02

Step-by-step explanation:

OpenStudy (judygreeneyes):

Hi - If you are working on this kind of problem, you probably know the formula for the probability of a union of two events. Let's call working part time Event A, and let's call working 5 days a week Event B. Let's look at the information we are given. We are told that 14 people work part time, so that is P(A) = 14/100 - 0.14 . We are told that 80 employees work 5 days a week, so P(B) = 80/100 = .80 . We are given the union (there are 92 employees who work either one or the other), which is the union, P(A U B) = 92/100 = .92 .. The question is asking for the probability of someone working both part time and fll time, which is the intersection of events A and B, or P(A and B). If you recall the formula for the probability of the union, it is

P(A U B) = P(A) +P(B) - P(A and B).

The problem has given us each of these pieces except the intersection, so we can solve for it,

If you plug in P(A U B) = 0.92 and P(A) = 0.14, and P(B) = 0.80, you can solve for P(A and B), which will give you the answer.

I hope this helps you.

Credit: https://questioncove.com/updates/5734d282e4b06d54e1496ac8

7 0
3 years ago
Approximately 0.8 of middle school students have cell phones. Which of the following fractions describes how many middle school
lana [24]

Answer: E. 4/5

Step-by-step explanation: You have to put the decimal (0.8) over its place value. So in this case 0.8 turns into 8/10. Then you must simplify 8/10, by dividing the numerator (8) and the denominator (10) by the greatest common factor (2). Which gives you the answer 4/5.

8 0
3 years ago
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