A huge examination emergency clinic has amassed measurable information on its patients for an all-encompassing period.

Specialists have confirmed that patients who are smokers have a 18% possibility of contracting

a genuine ailment like coronary illness, malignancy, or emphysema, though there is just a .06 likelihood

that a nonsmoker will get a genuine disease. From clinic records, the specialists

realize that 23% of all clinic patients are smokers, while 77% are nonsmokers. For arranging

purposes, the clinic doctor staff might want to know the likelihood that a given patient is a

smoker if the patient has a genuine sickness.

The Sanders Garden Shop blends two kinds of grass seed into a mix. Each sort of grass has been evaluated (per pound) as per its shade resilience, capacity to rise up to traffic, and dry season obstruction, as demonstrated in the table. TypeA seed costs $1 and Type B seed costs $2. In the event that the mix needs to score at any rate 300 focuses for conceal resilience, 400 focuses for traffic opposition, and 750 focuses for dry spell obstruction, what number of pounds of each seed ought to be in the mix? Which targets will be surpassed? What amount will the mix cost?

TypeA

Type B

Shade Tolerance

1

1

Traffic Resistance

2

1

@29@

Dry season Resistance

2

5

The accompanying table addresses college understudies at a nearby college. One understudy s picked indiscriminately. Offer your response as a decimal out to in any event 4 spots.

Freshman Sophomore Junior Senior Total

Live On Campus 2294 2188 1724 1888 8094

Live Off Campus 3831 4286 4925 822 13864

Total 6125 6474 6649 2710 21958

a) Find the likelihood that the understudy lives off grounds or is a lesser.

b) Find the likelihood that the understudy lives nearby and is a senior.

c) Find the likelihood that the understudy is a first year recruit given that they live nearby.

d) Are the occasions Freshman and Live on Campus fundamentally unrelated? Why?

Indeed, since the P(Freshman | Live On Campus) = P(Freshman)

Indeed, since P(Freshman Live On Campus) = 0.1045 0

No, since P(Freshman Live On Campus) = 0.1045 0

Indeed, since you can be a first year recruit that lives nearby

No, since P(Freshman Live On Campus) = 0.1045 P(Freshman)*P(Live On Campus) = 0.1028

Indeed, since P(Freshman Live On Campus) = 0.1045 P(Freshman)*P(Live On Campus) = 0.1028

e) Are the occasions Freshman and Live on Campus autonomous? Why?

Indeed, since the P(Freshman | Live On Campus) = P(Freshman)

Indeed, since P(Freshman Live On Campus) = 0.1045 0

No, since P(Freshman Live On Campus) = 0.1045 0

Indeed, since you can be a first year recruit that lives nearby

No, since P(Freshman Live On Campus) = 0.1045 P(Freshman)*P(Live On Campus) = 0.1028

Indeed, since P(Freshman Live On Campus) = 0.1045 P(Freshman)*P(Live On Campus) = 0.1028

The board at a neighborhood organization inquired as to whether they were keen on getting position preparing. Reactions are summed up by work type (salaried or hourly), and whether the worker is intrigued (yes or no) in work preparing.

Salaried Hourly Total

indeed 68 56 124

no 11 44 55

complete 79 100 179

Register the likelihood that a worker is salaried. Offer your response as a decimal, exact to in any event three decimal spots.

p salaried =

Then, figure the likelihood that a representative who is keen on preparing is salaried. Offers our response as a decimal, exact to at any rate three decimal spots.

p salaried/yes=

At long last, utilize the outcomes from the two preceeding estimations to decide if work type nd interest in preparing are free.

No, the two occasions are not autonomous.

Indeed, the two occasions are autonomous.