Answer:
0.6672 is the required probability.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 8.4 minutes
Standard Deviation, σ = 3.5 minutes
We are given that the distribution of distribution of taxi and takeoff times is a bell shaped distribution that is a normal distribution.
According to central limit theorem the sum measurement of n is normal with mean
and standard deviation ![\sigma\sqrt{n}](https://tex.z-dn.net/?f=%5Csigma%5Csqrt%7Bn%7D)
Sample size, n = 37
Standard Deviation =
![=\sigma\times \sqrt{n} = 3.5\times \sqrt{37}=21.28](https://tex.z-dn.net/?f=%3D%5Csigma%5Ctimes%20%5Csqrt%7Bn%7D%20%3D%203.5%5Ctimes%20%5Csqrt%7B37%7D%3D21.28)
P(taxi and takeoff time will be less than 320 minutes)
![P( \sum x < 320) = P( z < \displaystyle\frac{320 - 37(8.4)}{21.28}) = P(z < 0.4323)](https://tex.z-dn.net/?f=P%28%20%5Csum%20x%20%3C%20320%29%20%3D%20P%28%20z%20%3C%20%5Cdisplaystyle%5Cfrac%7B320%20-%2037%288.4%29%7D%7B21.28%7D%29%20%3D%20P%28z%20%3C%200.4323%29)
Calculation the value from standard normal z table, we have,
![P(\sum x < 320) =0.6672 = 66.72\%](https://tex.z-dn.net/?f=P%28%5Csum%20x%20%3C%20320%29%20%3D0.6672%20%3D%2066.72%5C%25)
0.6672 is the probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes.
Answer:
7,4,15,6
Step-by-step explanation:
7,4,15,6
Answer:
q
Step-by-step explanation:
A. True, 33/4 × 2/11 = 1,5$
b. False, 8.25÷5.5= 1.5$/kg
c) True