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22 days ago

6

isco Fever is randomly found in one half of one percent of the general population. Testing a swatch of clothing for the presence

of polyester is 99% effective in detecting the presence of this disease. The test also yields a false-positive in 4% of the cases where the disease is not present. What is the probability that the test result comes back negative if the disease is present

1 answer:

Svet_ta [9.5K]22 days ago

5 0

Answer:

0.8894 represents the likelihood of a negative test result given that the disease is present.

Step-by-step explanation:

We are provided the following in the question:

P(Disco Fever) = P( Disease) =

$P(D) = \dfrac{1}{2}\times 1\% = 0.5 \times 0.01 = 0.005$

Thus, we can express:

P(No Disease) =

$P(ND) =1 - P(D)= 0.995$

P(Test Returns Positive with disease present) = 0.99

$P(TP | D ) = 0.99$

P( false-positive) = 4%

$P( TP | ND) = 0.04$

We need to assess the likelihood of a negative test result when the disease is indeed present, i.e.,

P(test result being negative while disease is present)

According to Bayes's theorem, we can write:

$P(ND|TP) = \dfrac{P(ND)P(TP|ND)}{P(ND)P(TP|ND) + P(D)P(TP|D)}\\\\P(ND|TP) = \dfrac{0.995(0.04)}{0.995(0.04) + 0.005(0.99)} = 0.8894$

0.8894 is the probability that the test result returns negative when the disease exists.

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If Ana devotes all her time to making fudge, she can make 3 pounds of fudge an hour, and if he devotes all her time to making to

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Answer: Ana should produce more fudge, and Leo should produce more toffee.

Step-by-step explanation:

Comparative advantage defined: A person or country has a comparative advantage producing a good if their opportunity cost for it is lower than someone else's.

In this case, Ana and Leo will both benefit if they focus on the product for which they have the lower opportunity cost.

(a) Ana’s production possibilities:

If she spends all her time making fudge: 3 pounds; or toffee: 2 pounds.

Opportunity cost of 1 pound fudge = 2/3 = 0.66 pounds toffee

Opportunity cost of 1 pound toffee = 3/2 = 1.5 pounds fudge

(b) Leo’s production opportunities:

All time making fudge: 4 pounds; or toffee: 5 pounds.

Opportunity cost of 1 pound fudge = 5/4 = 1.25 pounds toffee

Opportunity cost of 1 pound toffee = 4/5 = 0.8 pounds fudge

Since Ana’s opportunity cost for fudge is lower than Leo’s, she should specialize in fudge production.

Conversely, Leo has a lower opportunity cost for toffee, so he should focus on producing toffee.

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1 month ago

A college has an acceptance rate of 17%. If 3,240 students apply, about

AnnZ [9104]

Answer:

550

Step-by-step explanation:

We know that 17% of the applicants (3,240) will receive acceptance.

0.17 * 3,240 = 550.8

Thus, 550 students will gain acceptance

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13 days ago

A 5 1/2 quart pot is filled 2/3 of the way with water. How many more quarts of water can the pot hold?

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The pot has the capability to hold 1/3 more than its current level. Therefore, 1/3 of 5 1/2 quarts equals:

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1 month ago

Read 2 more answers

Rent for a 3-bedroom apartment is regularly 936 per month. Apartment management is now offering one month free for 12- month lea

babunello [8423]

Answer:

$858.

Detailed explanation:

The monthly rent for the 3-bedroom apartment is $936 under normal circumstances.

The landlord now provides one month free as part of a 12-month tenancy. Signing the lease means paying rent for only 11 months. Therefore, the total annual rent after applying this deal is:

$\text{Rent of the apartment for 1 year after signing the lease}= 11\times 936$

$\text{Rent of the apartment for 1 year after signing the lease}= 10296$

To find the adjusted monthly payment, divide the total amount $10,296 by 12 months.

$\text{The new monthly amount}=\frac{10296}{12}$

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1 month ago

Diego's club earns money for charity when members of the club perform community service after school,

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Step-by-step explanation:

To address this query, we first need to formulate a function that reflects the situation.

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E(s) = 5 s

Where:

E= total earnings
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Indeed, since the input value n indicates how many students from the club engage in community service, and with the total number of students being 12, the input can indeed vary between 0 and 12.

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20 days ago