SOLUTION: Based on her past experience, a doctor knows that the probability distribution for X = number of patients who come to her office hours on Wednesday is given below: . x 0 1 2 3 4

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Question 1167768: Based on her past experience, a doctor knows that the probability distribution for X = number of patients who come to her office hours on Wednesday is given below:
.
x 0 1 2 3 4
p(x)=P(X = x) .10 .20 .50 .15 .05
1. What is the probability that at least 2 patients come to office hours on Wednesday?
2. What is the at most 2 patients come to office hours on Wednesday,?
3. What is the probability that at least 1 patient comes to office hours on Wednesday?
Answer by ikleyn(52915) About Me  (Show Source):
You can put this solution on YOUR website!
.
Based on her past experience, a doctor knows that the probability distribution for X = number of patients
who come to her office hours on Wednesday is given below: 

x                0    1    2    3    4
p(x)=P(X = x)  .10  .20  .50  .15  .05


1. What is the probability that at least 2 patients come to office hours on Wednesday?
2. What is the at most 2 patients come to office hours on Wednesday,?
3. What is the probability that at least 1 patient comes to office hours on Wednesday?
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(1)  at lest 2 means  2 or 3 or 4.

     So, sum up the given probabilities under 2, 3 and 4.




(2)  At most 2 means 0, or 1, or 2.

     So, sum up the given probabilities under  0, 1, and 2.




(3)  You EITHER sum up everything under 1, 2, 3 and 4,

         OR, alternatively,  subtract from 1 what is under 0.


You are instructed and directed.