A recent study has indicated that some of the medical tests recommended by physi

Question

A recent study has indicated that some of the medical tests recommended by physicians in New York are not essential to the assessment of medical conditions. 70% of the tests can be substituted by advanced check-up techniques. On a random day, five patients visited a certain physician in the morning.

(a) Calculate the probability that none of the patients’ assessments require medicals tests?

(b) Calculate the probability that two of the patients’ assessments can be done with advanced check-up techniques?

Explanation / Answer

Here we have p = 0.70 , n= 5

x ~ B ( n, p )

p( x ) = nCx*px * ( 1 - p ) n-x

a) p ( x = 0 )

=  5C0*0.700 * ( 1 - 0.70 ) 5-0

= 0.0024

b) p ( x = 2 ) = 5C2*0.702 * ( 1 - 0.70 ) 5-2

   =0.1323

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