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Genrish500 [490]
3 years ago
14

Nina goes to the supermarket 0, 1, or 2 times in a week. The probability that she goes 0 days is 0.2, the probability that she g

oes 1 day is 0.50, and the probability that she goes 2 days is 0.30. What is the expected value of the number of days per week on which Nina goes to the supermarket? 0.8
Mathematics
1 answer:
Dvinal [7]3 years ago
3 0

The probability that Nins goes 0 days is 0.2, the probability that she goes 1 day is 0.50, and the probability that she goes 2 days is 0.30. You can write these data as a table:

\begin{array}{cccc}    x_i & 0 & 1 & 2 \\    p_i & 0.2 & 0.5 & 0.3   \end{array}

where x_i are numbers of days and p_i are probabilities.

The expected value of the number of days per week on which Nina goes to the supermarket is

E(X)=\sum\limits_{i=1}^3x_ip_i=0\cdot 0.2+1\cdot 0.5+2\cdot 0.3=0.5+0.6=1.1.

Answer: the expected value of the number of days per week on which Nina goes to the supermarket is 1.1.

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