Oil tankers the mean number of oil tankers at a port city is eight per day. find the probability that the number of oil tankers on any given day is (a) exactly eight, (b) at most three, and (c) more than eight.

a) P(8) = 0.1395

b) P(at most three) = 0.0423684

c) P(X > 8) = 0.41

Step-by-step explanation:

Data provided in the question:

Mean, μ = 8

Now,

Probability that the number of oil tankers on any given day is

a) exactly eight

using Poisson distribution

we have

P(x) =

for x = 8

P(8) =

or

P(8) =

or

P(8) = 0.1395

b)  at most three

i.e P(0) + P(1) + P(2) + P(3)

thus,

P(0) = = 0.0003354

P(1) = = 0.002683

P(2) = = 0.01073

P(3) = = 0.02862

⇒ P(at most three) = 0.0003354 + 0.002683 + 0.01073 + 0.02862

= 0.0423684

c) more than eight.

P(X > 8) = 1 - P(X ≤ 8)

Now,

P(0) = = 0.0003354

P(1) = = 0.002683

P(2) = = 0.01073

P(3) = = 0.02862

P(4) = = 0.05725

P(5) = = 0.091603

P(6) = = 0.1221

P(7) = = 0.13958

P(8) = = 0.13758

Thus,

P(X > 8) = 1 - [ 0.0003354 + 0.002683 + 0.01073 + 0.02862 + 0.05725 + 0.091603 + 0.1221 + 0.13958 + 0.13758 ]

P(X > 8) = 1 - 0.5904814

or

P(X > 8) = 0.41

answer: i would say b

step-by-step explanation:

with the way the question is worded, i believe b is the answer

the cost of the apple depends on the weight

1,150 give brainliest

step-by-step explanation

2r= 2300

r =1150