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Vadim26 [7]
3 years ago
9

Every​ morning, my neighbor goes out walking. I observe that​ 20% of the time she walks with her​ beagle, 70% of the time she wa

lks with her golden​ retriever, and​ 30% of the time she walks alone. If these events are all​ disjoint, is this an example of a valid probability​ distribution?
Mathematics
1 answer:
Oduvanchick [21]3 years ago
5 0

Answer:

No, This is not a valid Probability Distribution

Step-by-step explanation:

Probability [Neighbour walks with Beagle] = 20%

Probability [Neighbour walks with Golden Retriever] = 70%

Probability [Neighbour walks alone] = 30%

Disjoint Events are the events that have zero probability of occurring together. If all the three above items are disjoint, it means that it can never happen that two of them happen together.

The total (summed) probability of a valid probability distribution, with disjoint sets = 1 . In given case, total probability = 0.2 + 0.7 + 0.3 = 1.2 ; i.e > 1.

So, this probability distribution with stated disjoint events is not a Valid Probability distribution.

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Date
ololo11 [35]

Answer: 22%, 0.22, 11/50

Step-by-step explanation:

As a percent, 44/200 × 100 =

0.22 × 100

= 22%

As a decimal, divide 44 by 200 using a calculator; 44÷200 = 0.22

As a fraction in the simplest form, 44/200, we find the greatest common factor for the numerator and denominator, which is 4, divide 4 by numerator = 11

Divide 4 by denominator = 50

44/200 as a fraction = 11/50

5 0
3 years ago
How can you use a compatible number to estimate a quotient when dividing a decimal by a whole number?
8090 [49]

Answer: just follow these simple steps!

Step-by-step explanation:

1. Estimate the quotient.

2. Perform the division. Remember to place a zero in the quotient when the divisor is larger than the dividend. ...

3. Compare your estimate with your quotient to verify that the answer makes sense.

5 0
3 years ago
Read 2 more answers
Please solve for x<br><br> solve 2/3x - 1/5 &gt; 1
maxonik [38]

Answer:

x  > 9/5

There you go

6 0
3 years ago
Is 2750 a reasonable answer for 917 times 33
hodyreva [135]
No because 917 times 33 is 30261
6 0
3 years ago
What is 22.5% written as a fraction in simplest form?​
murzikaleks [220]

Answer:

9/40

Step-by-step explanation:

  • Write down the percent divided by 100 like this:

22.5/100

  • Multiply both top and bottom by 10 for every number after the decimal point:
  • As we have 1 digit after the decimal point, we multiply both numerator and denominator by 10, or, simply shift 1 decimal place to the right. So,

(22.5*10)(100*10)= 225/1000

  • Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(225,1000) = 25.

225 ÷ 25/ 1000÷25 = 9/40

5 0
3 years ago
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