Aircraft 14

An aircraft is to arrive according to the flight schedule at 10:15 a.m. Statistics state that out of 100 aircraft on average 10 land between 10:00 and 10:15, 40 between 10:15 and 10:30, 30 land between 10:30 and 11:00, 10 between 11:00 and 12:00, and 10 aircraft even land only between 12:00 of the corresponding day and 12:00 of the following day. A) what are the probabilities of arrival of the aircraft in the individual intervals? B) what is the probability of arrival of the aircraft between 10:15 and 11:00?

Final Answer:

p₁ =  0.1
p₂ =  0.4
p₃ =  0.3
p₄ =  0.1
p₅ =  0.1
p =  0.7

Step-by-step explanation:

$p_1=\frac{10}{100}=\frac{1}{10}=0.1$

$p_2=\frac{40}{100}=\frac{2}{5}=0.4$

$p_3=\frac{30}{100}=\frac{3}{10}=0.3$

$p_4=\frac{10}{100}=\frac{1}{10}=0.1$

$p_5=\frac{10}{100}=\frac{1}{10}=0.1$

$p=p_2+p_3=\frac{2}{5}+\frac{3}{10}=\frac{4}{10}+\frac{3}{10}=\frac{4+3}{10}=\frac{7}{10}=0.7$

Try another example