Lol I’m bad at math can someone help me with #5?

Mathematics

1 answer:

KengaRu [80]3 years ago

7 0

Answer:

21/5

Step-by-step explanation:

cross multiply

21=5x

flip

5x= 21

divide both sides

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A new medical test provides a false positive result for hepatitis 2% of the time that is a perfectly healthy subject being teste

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Given that X be the number of subjects who test positive for the disease out of the 30 healthy subjects used for the test.

The probability of success, i.e. the probability that a healthy subject tests positive is given as 2% = 0.02

Part A:

The probability that all 30 subjects will appropriately test as not being infected, that is the probability that none of the healthy subjects will test positive is given by:

 $P(X)={ ^nC_xp^x(1-p)^{n-x}} \\ \\ P(0)={ ^{30}C_0(0.02)^0(1-0.02)^{30-0}} \\ \\ =1(1)(0.98)^{30}=0.5455$


Part B:

The mean of a binomial distribution is given by

 $\mu=np \\ \\ =30(0.02) \\ \\ =0.6$

The standard deviation is given by:

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Part C:

This test will not be a trusted test in the field of medicine as it has a standard deviation higher than the mean. The testing method will not be consistent in determining the infection of hepatitis.

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Answer:

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Step-by-step explanation: