5.5.96-T Question Help * According to a study, the median time a patient waits t

Question

5.5.96-T Question Help * According to a study, the median time a patient waits to see a doctor in an emergency room is 30 minutes. Consider an emergency room on a day when 200 patients visit. a. What is the probability that more than half will wait more than 30 minutes? b. What is the probability that more than 110 will wait more than 30 minutes? c. What is the probability that more than 80 but less than 120 will wait more than 30 minutes? a. The probability is (Round to three decimal places as needed.)

Explanation / Answer

Ans:

As,median time is 30 min,p=0.5

Let x be the number of pateints who waits less than 30 min.

Then x be the binomial random variable with n=200,p=0.5

a)

P(x>100)=1-P(x<=100)=1-binomcdf(200,0.5,100)=0.472

b)

P(x>110)=1-P(x<=110)=1-binomcdf(200,0.5,110)=0.069

c)P(80<X<120)=P(x<=119)-P(x<=80)

=binomcdf(200,0.5,119)--binomcdf(200,0.5,80)

=0.994

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