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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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<h3>What is arithmetic?</h3>

Mathematical arithmetic is the study of the properties of the standard operations on numbers, such as addition, subtraction, multiplication, division, exponentiation, and root extraction. One of the branches of mathematics, 1a, deals with the application of addition, subtraction, multiplication, and division to nonnegative real numbers, sometimes including transfinite cardinals.

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