In: Statistics and Probability
The number of computers sold during one day by a small store is
a random variable XX with the following distribution:
P(0)=0.12,P(1)=0.19,P(2)=0.19,P(3)=0.12,P(4)=0.06,P(5)=0.32P(0)=0.12,P(1)=0.19,P(2)=0.19,P(3)=0.12,P(4)=0.06,P(5)=0.32
a. Compute the expected value E(X)E(X). Give your answer two
decimal places.
E(X)=E(X)=
b. Compute the standard deviation σ(X)σ(X). Give your answer two
decimal places.
σ(X)=σ(X)=
1 point) The problem below describes an experiment and defines a
random variable.
(a) Find the distribution of the random variable (and provide it as
a chart).
(b) Calculate the expected value of the random variable.
A certain brand of trading cards is available in smaller packs that
cost $2 each. Assume that any given pack has a 10% chance of
containing a rare card, independently of other packs. Alice will
buy and open a pack until she gets a rare card, but she will not
buy more than five. Let M be the amount of money (in dollars) that
Alice will spend.
(a) Find the probability distribution of MM. (Enter possible values
in numerical order.)
mm |
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P(m)P(m) |
(b) Find the expected value: