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Vilka [71]
2 years ago
15

Help please will mark

Mathematics
2 answers:
Law Incorporation [45]2 years ago
3 0
Answer: 6.7
Have a good day :D
Vlad1618 [11]2 years ago
3 0
Answer 6.7
Bye bye :)
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3 years ago
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An airport limousine can accommodate up to four passengers on any one trip. The company will accept a maximum of six reservation
miss Akunina [59]

Answer:

a) 0.109375 = 0.109 to 3 d.p

b) 1.00 to 3 d.p

Step-by-step explanation:

Probability of someone that made a reservation not showing up = 50% = 0.5

Probability of someone that made a reservation showing up = 1 - 0.5 = 0.5

a) If six reservations are made, what is the probability that at least one individual with a reservation cannot be accommodated on the trip?

For this to happen, 5 or 6 people have to show up since the limousine can accommodate a maximum of 4 people

Let P(X=x) represent x people showing up

probability that at least one individual with a reservation cannot be accommodated on the trip = P(X = 5) + P(X = 6)

P(X = x) can be evaluated using binomial distribution formula

Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = 6

x = Number of successes required = 5 or 6

p = probability of success = 0.5

q = probability of failure = 0.5

P(X = 5) = ⁶C₅ (0.5)⁵ (0.5)⁶⁻⁵ = 6(0.5)⁶ = 0.09375

P(X = 6) = ⁶C₆ (0.5)⁶ (0.5)⁶⁻⁶ = 1(0.5)⁶ = 0.015625

P(X=5) + P(X=6) = 0.09375 + 0.015625 = 0.109375

b) If six reservations are made, what is the expected number of available places when the limousine departs?

Probability of one person not showing up after reservation of a seat = 0.5

Expected number of people that do not show up = E(X) = Σ xᵢpᵢ

where xᵢ = each independent person,

pᵢ = probability of each independent person not showing up.

E(X) = 6(1×0.5) = 3

If 3 people do not show up, it means 3 people show up and the number of unoccupied seats in a 4-seater limousine = 4 - 3 = 1

So, expected number of unoccupied seats = 1

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3 years ago
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1 hghhhhhhgghhghhhhhhhhhhhh
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3 years ago
(PLEASE HELP!!)
Flauer [41]

Answer:

b

Step-by-step explanation:

5 0
2 years ago
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URGENT DUE BY 3:00!
lys-0071 [83]
You can put the 2 circles together to get 1 circle
so basically we just find

area of rectangle taht is 8ft by 18ft
and area of ciecle with disameter of 8


area rectangle=18 times 8=144 square feet

area of ciecle=pir^2
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area=pi4^2=16pi, pi=3.14 so then
50.24


toal is rectangle+circles=144+50.24=194.24 suare feet
rounded
194 square feet
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