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Answer:
Step-by-step explanation:
We have the following variables:
y: hours of sleep
x: age
Each day, a young person should sleep 9 hours
This means that y is 9 added to something
plus 1 4 hour for each year that the person is under 18 years of age.
For each year the person is under 18 years of age, she should sleep 1/4 = 0.25h on top of the 9 hours.
So the equation relating hours of sleep y and age x is:
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