Respuesta :

MrRoyal

Answer:

[tex]P(4\ or\ 5) = 0.446[/tex]

Step-by-step explanation:

See attachment for complete question (histogram)

From the histogram, we have:

[tex]P(0) = 0.007[/tex]

[tex]P(1) = 0.049[/tex]

[tex]P(2) = 0.181[/tex]

[tex]P(3) = 0.317[/tex]

[tex]P(4) = 0.332[/tex]

[tex]P(5) = 0.114[/tex]

At least 4 of the next 5 means that: 4 or 5

Hence, the required probability means: P(4 or 5)

And it is calculated as:

[tex]P(4\ or\ 5) = P(4) + P(5)[/tex]

Substitute values for P(4) and P(5)

[tex]P(4\ or\ 5) = 0.332 + 0.114[/tex]

[tex]P(4\ or\ 5) = 0.446[/tex]

Hence, the required probability is 0.446

Ver imagen MrRoyal
fichoh

The probability that atleast four of the next 5 flight will be overbooked is the sum of the probabilities that either 4 or 5 of the flights will be overbooked which is 0.446

The probability that :

  • 4 flights will be overbooked = P(4) = 0.332

  • 5 flights will be overbooked = P(5) = 0.114

Probability that atleast 4 flights will be overbooked can be interpreted thus :

P(X ≥ 4) = P(4) + P(5)

P(X ≥ 4) = 0.332 + 0.114 = 0.446

Therefore, the probability that atleast 4 of the next 5 flights will be overbooked is 0.446

Learn more :https://brainly.com/question/18153040

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