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1. (13 pts) Let x represents the number of toppings for a large pizza at an Italian cafe. The probability distribution of X appears in the accompanying table.

X 0 1 2 3 4
P(x) 0.30 0.40 0.20 ? 0.04
 
a. What is the probability that the number of toppings on a randomly selected pizza is 3? (4 pts.)
b. What is the probability that the number of toppings on a randomly selected pizza is at most 2? (4 pts.)
c. Compute the mean and standard deviation of X. Round to two decimal places. (5 pts.)

 

 

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