In a medical clinic, doctor A, B, and C receive 20%, 30% and 50% of the new pati

Question

In a medical clinic, doctor A, B, and C receive 20%, 30% and 50% of the new patient respectively. a incomings patient doctor A. the doctor will correctly diaconate the problem affiliating the patient 50% of the time. For doctors Band C the correct diagnosis percentage are 60 and respectively. what the probability that on patient will get the correct diamond Assuming that a patient got a correct demand in, what is the probability the patent saw doctor Drawer A contains 5 pennies and 3 dime. Drawer. contains Pennies and dynamic. A fair ordains flipped and it drawer selected completely at random, with drawer A selected if the coin flip is hands and drawer B if the coin flip is sail Once a random drawer Neglected individual will (a) Find the probability of Neglecting a dime? Suppose dinner obtained. What the probability it came from drawer B?

Explanation / Answer

Drawer A - 5 pennies and 3dimes

Drawer B - 3 pennies and 7 dimes

a)

P(selecting dime) = P(Drawer A)P(dime/Drawer A)+P(Box B)P(Drawer/Box B)

= (1/2)(3/8)+(1/2)(7/10)

= 0.5375

b)

P(Drawer B/dimes is selcted) = P(drawer B is selcted and dime is selcted from Drawer)/P(dime is selected)

= (1/2)(7/10)/ 0.5375 = 0.65

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