Let X be a discrete random variable that represents the number of diagnostic services a child receives during an office visit to a pediatric specialist; these services include procedures such as blood tests and urinalysis. The probability distribution for X appears below:
x P (X = x)
0 0.671
1 0.229
2 0.053
3 0.031
4 0.010
5+ 0.006
TOTAL 1.000
a. Construct a graph of the probability distribution of X.
b. What is the probability that a child receives exactly three diagnostic services during and office visit to a pediatric specialist?
c. What is the probability that he or she receives at least one service? Four or more services?
d. What is the probability that the child receives exactly three services given that he or she receives at least one service?