Question

The manager of a children's puppet theatre has determined that the number of adult
tickets he sells for a Saturday afternoon show is a random variable with a mean of 28.3
tickets and a standard deviation of 5.3 tickets. The mean number of children's tickets he
sells is 42.5, with a standard deviation of 8.1.
(a) The adult tickets sell for $10. Let A = the money he collects from adult tickets on a
random Saturday. What are the mean and standard deviation of A?

Answer 1

Applying statistical concepts of multiplication of a variable by a constant, it is found that the mean of A is of $283, while the standard deviation is of $53.

When a constant is multiplied to each data in a variable:  

• The mean is multiplied by this constant.
• The standard deviation is multiplied by this constant.

In this question, the variable has mean 28.3 and standard deviation of 5.3, and is multiplied by 10, hence:

$28.3(10) = 283$

$5.3(10) = 53$

The mean of A is of $283, while the standard deviation is of $53.

A similar problem is given at https://brainly.com/question/25639778