Question

The table gives a number of daily sales of cars by a local dealership, from a 0 minimum to a 6 maximum, and the number of days each sale happened during a 100 - day survey. That is. 0 cars were sold 6 days, 1 car 8 days, etc.

Car sales per day, X 0 1 2 3 4 5 6
Number of days 6 8 22 20 15 16 13
A) Give the probability density function of X.
B) Compute the expected value of A". Explain its meaning.
C) Compute the variance and standard deviation of X.
D) Find the expected value and variance of a function Y = 5 + 12X.

Answer 1

Answer: The answer has been provided and attached.

Step-by-step explanation:

Based on the attached diagram, there will be 3.3 sales per day.

The variance will be 2.95.

Since standard deviation is the square root of variance, the standard deviation will be:

= ✓2.95

= 1.72

The expected value and variance of a function Y = 5 + 12X will be:

Expected value = 44.6

Variance = 424.8