Mathematics, 23.12.2019 20:31 justin5647

The employees of a firm that manufactures insulation are being tested for indications of asbestos in their lungs. the firm is requested to send 3 employees who have positive indications of asbestos on to a medical center for further testing. if 60% of the employees have positive indications of asbestos in their lungs, find the probability that 11 employees must be tested in order to find 3 positives?

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Answer from: kayleigh8892

$P(X=11) = (11-1 C 3-1)0.6^3 (1-0.6)^{11-3}= (10C2) 0.6^3 0.4^8 =0.00637$

So then the probability that 11 employees must be tested in order to find 3 positives is 0.00637

Step-by-step explanation:

Previous concepts

A negative binomial random variable "is the number X of repeated trials to produce r successes in a negative binomial experiment. The probability distribution of a negative binomial random variable is called a negative binomial distribution, this distribution is known as the Pascal distribution".

And the probability mass function is given by:

$P(X=x) = (x-1 C r-1)p^r (1-p)^{x-r}$

Where r-1 represent the number successes after the x-1 trials and p is the probability of a success on any given trial.

Solution to the problem

Let X the random variable that represent the number of trials on which the third employee has founded with a positive result of asbestos.

For this case the random variable Y follows a negative binomial distribution given by:

$X \sim Neg Bin(r=3, p=0.6)$

And we want to find the probability P(X=11) and if we replace in the mass function we got:

$P(X=11) = (11-1 C 3-1)0.6^3 (1-0.6)^{11-3}= (10C2) 0.6^3 0.4^8 =0.00637$

So then the probability that 11 employees must be tested in order to find 3 positives is 0.00637

Answer from: Quest

54 kilometers per hour

step-by-step explanation:

according to rules:

1 km = 1000 meter

which means that 1 meter = 1/1000 km

1 hour = 3600 second [ as 1 hour = 60 min = 60 *60 seconds ]

which means that 1 second = 1/3600 hour

therefore, 1 kilometer/hour = $(1/1000)/(1/3600)=3600/1000=18/5=3.6 kilometer/hour$

thus to convert 15 meter per second to kilometer per hour, we multiply 15 to 3.6 kilometer/hour.

15 meter/second= $15*3.6=54 kilometer/hour$ which is the required answer.

Answer from: Quest

The question is kind of confusing. if it's asking how many variations of answers can you give. then do 4^5 for your answer.this would be something like the first question could be a and the 2nd c or first b next c etc. if you can, ask the teacher for a better confirmation of what it's asking. if i'm assuming correctly what it's asking, it's 625 different variations.

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