Mathematics: (9 + 11) divided by (5 + 4 + 1) (9 + 11) write 3 steps then put the answer and i will give u brainliest!

(9 + 11) divided by (5 + 4 + 1) (9 + 11) write - id911541911311030658, kadence428

Ответ:

nyameneak

10.11.2020

Mathematics

a) Mean number of hours = 4.604 hours, Standard deviation = 2.9033 hours

b) Mean value of revenue = $23.02, Standard deviation = $14.5165

Step-by-step explanation:

We are given the following in the question:

X: 1 2 3 4 5 6 7 8

P(X): 0.229 0.113 0.114 0.076 0.052 0.027 0.031 0.358

a) Mean =

$E(x) = \displaystyle\sum x_iP(x_i)\\= 1(0.229) + 2(0.113) + 3(0.114) + 4(0.076) + 5(0.052) +\\ 6(0.027) + 7(0.031) + 8(0.358)\\=4.604$

$E(x^2) = \displaystyle\sum x_i^2P(x_i)\\= 1^2(0.229) + 2^2(0.113) + 3^2(0.114) + 4^2(0.076) + 5^2(0.052) +\\6^2(0.027) + 7^2(0.031) + 8^2(0.358)\\=29.626$

Variance =

$\sigma^2 = E(x^2) - (E(x))^2\\= 29.626 - (4.604)^2\\=8.429184\\\sigma = \sqrt{8.429184} = 2.9033$

b) The cost of parking is 5 dollars per hour.

Mean of revenue each car generates =

$5\times E(x) \\= 5\times 4.604\\=23.02$

Standard deviation of revenue each car generates =

$5\times \sigma\\=5\times 2.9033\\=14.5165$

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(9 + 11) divided by (5 + 4 + 1) (9 + 11) write 3 steps then put the answer and i will give u brainliest!

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