A rental car company claims the mean time to rent a car on their website is 60 seconds with a standard deviation of 22 seconds.
1 answer:
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Answer:
x ≈ 8.7
Step-by-step explanation:
Using the sine ratio in the right triangle
sin75° = =
=
( multiply both sides by 9 )
9 × sin75° = x , then
x ≈ 8.7 ( to the nearest tenth )
The Poisson probability distribution function is
where
μ = mean number of successes
x = actual or expected number of successes
Given:
μ = 13
x = 5
Therefore the probability that x=5 is
P(x = 5) = (e⁻¹³*13⁵)/5!
= 0.8392/120
= 0.006994
= 0.0070 (to 4 dec. places)
Answer: 0.0070 (to 4 decimal places)
It is interesting to observe P(x) as x varies, as in the graph shown below.
where
μ = mean number of successes
x = actual or expected number of successes
Given:
μ = 13
x = 5
Therefore the probability that x=5 is
P(x = 5) = (e⁻¹³*13⁵)/5!
= 0.8392/120
= 0.006994
= 0.0070 (to 4 dec. places)
Answer: 0.0070 (to 4 decimal places)
It is interesting to observe P(x) as x varies, as in the graph shown below.