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5. The number of tickets purchased by a customer for a musical performance at a certain concert hall can be considered a random variable. The table below shows the relative frequency distribution for the number of tickets purchased by a customer. Number of tickets purchased Relative frequency 0.20 0.45 0.10 0.20 0.05 Suppose each ticket for a certain musical performance cost $12. Based on the distribution shown, what is mean cost per customer for the performance? (A) $2.45 1 ) $2.75 (C) $24.50 (D) $29.40 (E) $36.00

Answer 1

2.4

Mean=[0.2(12) +0.45(12) +0.1(12) +0.2(12) +0.05(12) ]/5

=12/5

=2.4

Answer 2

The correct option is D) $29.4

Step-by-step explanation:

Consider the provided information.

$E(X) = \sum { X_i \times P(X_i)}$

Where $X_i$ is the number of tickets purchased by a customer.

$P(X_i)}$ is the relative frequency distribution.

$E(X) =1\cdot0.20+2\cdot0.45+3\cdot0.01+4\cdot0.20+5\cdot0.05$

$E(X) = 2.45$

The mean cost per customer for the performance is,

$2.45\times 12 = 29.4$

Hence, the correct option is D) $29.4

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what is mean cost per customer for the performance?