William just accepted a job at a new company where he will make an annual salary of
1 answer:
You might be interested in
Answer:
(a) Probability that there are no surface flaws in an auto's interior is 0.6065 .
(b) If 10 cars are sold to a rental company, what is the probability that none of the 10 cars has any surface flaws is 0.00673 .
Step-by-step explanation:
We are given that the number of surface flaws in plastic panels used in the interior of automobiles has a Poisson distribution with a mean of 0.05 flaws per square foot of plastic panel.
Let X = Distribution of number of surface flaws in plastic panels
So, X ~ Poisson()
The mean of Poisson distribution is given by, E(X) = = 0.05
which means, X ~ Poisson(0.05)
The probability distribution function of a Poisson random variable is:
Now, we know that for per square foot of plastic panel is 0.05 and we are given that an automobile interior contains 10 square feet of plastic panel.
Therefore, for 10 square foot of plastic panel is = 10 * 0.05 = 0.5
(a) Probability that there are no surface flaws in an auto's interior =P(X=0)
P(X = 0) = =
= 0.6065
(b) If 10 cars are sold to a rental company, what is the probability that none of the 10 cars has any surface flaws =
So, =
= 0.00673
Answer:
$1.475 is the average amount of snack sales per ticket sold.
Step-by-step explanation:
We are given the following in the question:
Number of popcorn bags sold = 3
Cost of a popcorn bag = $2.25
Total cost of popcorn bag = = $6.75
Number of soda sold = 4
Cost of a soda = $1.50
Total cost of soda = = $6.00
Number of candy bars sold = 2
Cost of a candy bar = $1.00
Total cost of candy bars = = $2.00
Total sales =
Total cost of popcorn + Total cost of soda + Total cost of candy bar
Average amount of snack sales per ticket sold =
Thus, $1.475 is the average amount of snack sales per ticket sold.