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dybincka [34]
3 years ago
7

Find the indicated probability. Round to three decimal places. The participants in a television quiz show are picked from a larg

e pool of applicants with approximately equal numbers of men and women. Among the last 11 participants there have been only 2 women. If participants are picked randomly, what is the probability of getting 2 or fewer women when 11 people are picked? 0.006 0.033 0.027 0.032
Mathematics
1 answer:
Arturiano [62]3 years ago
3 0

Answer:

0.033

Step-by-step explanation:

Use binomial probability:

P = nCr pʳ (1−p)ⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1-p).

Here, p = 0.5, q = 0.5, and n = 11.

We need to find P when r is 0, 1, and 2, then add up the results to get the total probability.

r = 0:

P = ₁₁C₀ (0.5)⁰ (0.5)¹¹⁻⁰

P ≈ 0.0005

r = 1:

P = ₁₁C₁ (0.5)¹ (0.5)¹¹⁻¹

P ≈ 0.0054

r = 2:

P = ₁₁C₂ (0.5)² (0.5)¹¹⁻²

P ≈ 0.0269

Therefore, the total probability is:

P = 0.0005 + 0.0054 + 0.0269

P = 0.0328

Round to the thousandths place, the probability is 0.033.

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An item in a set is called an element.

Step-by-step explanation:

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3 years ago
The average of four numbers is 98. If three of the numbers are 86,87,and 91 what is the fourth number?
timurjin [86]
To find the average, you have to add all the numbers up and then divide by the amount of numbers you added together.

Equation: (86+87+91+x)/4=98
Solve for x:
86+87+91+x=98*4
264+x=392
x=392-264
x=128

The fourth number is 128
7 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Csf%2010%2B2x%3D4" id="TexFormula1" title="\sf 10+2x=4" alt="\sf 10+2x=4" align="absmiddle"
Pachacha [2.7K]
10 + 2x = 4
-10
2x = -6
/2
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Answer: x = -3
4 0
1 year ago
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What is 5x100? .................................................
aksik [14]

Answer:

500

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Santos flipped a coin
marusya05 [52]

Answer:

5/12

Step-by-step explanation:

We know that Santos flipped the coin a total of 300 times. Out of the 300 times, he flipped 125 heads. We need to find a simplified ratio equivalent to:

125/300

First, a common factor is 5, so we can divide both sides by 5 to get:

25/60

We can divide it by more to simplify it down, so we can try another 5 to get:

5/12

5/12 would be the simpliest form

So 125/300 is equal to 5/12

Other forms: 5:12, 0.42, %42

7 0
3 years ago
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