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antoniya [11.8K]
3 years ago
13

To determine whether or not they have a certain desease, 100 people are to have their blood tested. However, rather than testing

each individual separately, it has been decided first to group the people in groups of 10. The blood samples of the 10 people in each group will be pooled and analized together. If the test is negative. one test will suffice for the 10 people (we are assuming that the pooled test will be positive if and only if at least one person in the pool has the desease); whereas, if the test is positive each of the 10 people will also be individually tested and, in all, 11 tests will be made on this group. Assume the probability that a person has the desease is 0.05 for all people, independently of each other, and compute the expected number of tests necessary for each group.
Mathematics
1 answer:
matrenka [14]3 years ago
8 0

Answer: Expected number of tests = 5.013

Step-by-step explanation:

Define random variable X that marks the number of tests required for some certain

group. Observe that if the test is negative for all the people (which has probability 0.95), we make one and only one test. If some of the people is tested positive, we make ten additional tests for every person in that group separately. Hence, the expected number of tests will be for if they are all negative (1 test) and the case of at least one person testing positive (11 tests).

That Is,

E(X) = 1(0.95^10) + 11(1 - (0.95^10))

E(X) = 0.5987 + 4.414 = 5.013

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Thanks guys for the help. This one and one more and I’m done!
Karolina [17]

Answer: 60n^{3}

Step-by-step explanation:

To find the least common multiply, you must descompose 12 and 15 into their prime factors, as you can  see below:

12=2*2*3=2²*3

15=3*5

Choose the common and non common numbers with their greastest exponents:

3*5*2²=60

Now you must choose the common and non common variables with their greastest exponents:

n³

  Therefore, you can conclude that the least common multiply is:

60n^{3}

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3 years ago
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professor190 [17]

Answer:

96-28 68

Step-by-step explanation:

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2 years ago
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Please help m solve this it's about shaded areas. I need it fast. PLZ HELP THANK YOU IF YOU DO AND U R SO AMZING IF U DO>
sukhopar [10]

A = area of the circle

A = pi*r^2

A = pi*11^2

A = 121pi

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B = area of the rectangle

B = length*width

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C = blue shaded area

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C = 121pi - 24 which is the exact area in terms of pi

C = 356.1327 is what you'd get if you used a calculator

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fenix001 [56]

Answer:

100,000,000

Step-by-step explanation:

You can just add up the zeros, if that makes sense.

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8 yards is equal less or greater than 20 feet
vazorg [7]

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