Question

Probability :
A certain area of USA is on the average hit by 6 hurricanes a year. Find the probability that in a given year this area will be hit by
a) fewer than 4 hurricanes
b) anywhere from 6 to 8 hurricanes

Answer 1

plz reply me .........i will be back after prayers

Answer 2

if the average is 6 hurricanes, i believe that the answer is b.
the probability that in a given year the area will be hit by anywhere from 6 to 8 hurricanes.

Answer 3

the problem is a poisson distribution with mean m = 6
\[P[x] = e^{-m *m^x/x!} \]

a. \[P[x<4] = e^{-6(1+6 +6^2/2! +6^3/3!)} \]= ? <------

b. \[P[6≤x≤8] = e^{-6(6^6/6! + 6^7/7! + 6^8/8!)}\] = ?<------

Answer 4

hi
r u there

Answer 5

yes?

Answer 6

if i write like that confirm plz

Answer 7

e-6*6^0 x e-6*6^1 x e-6*6^2 x e-6*6^3 and add-in all ans
is it correct

Answer 8

you may want to rewrite it this way

e^(-6*(1+6+(6^2)/2 + (6^3)/(3*2)))

Answer 9

Its B!!

Answer 10

Hi m still wondering how it comes.

Answer 11

fewer than 4 mean less than 4
i.e. 6^0 x 6^1 x 6^2 x 6^3

Answer 12

we use mew 6 and power four times of mew as i mentioned above?

Answer 13

\[P[x] = e ^{-m*m ^{x}/x!}\]

Answer 14

this is the probability distribution function for a Poison distribution. Whenever asked to find the probability of a Poison Distribution, you can use this formula.
in this formula, m is the mean or expected value. and x is the variable.
in this question, it is said that average hit of hurricanes is 6. which means people can expect an average of 6 hurricanes' hits each year.

Answer 15

like I said, as long as it's Poison Distribution, and asked for Probability. use this function.
memorize this function.

Answer 16

i solved this question dear, and found the final answer is 0.13634. is it correct

Answer 17

I added four answers of equations

Answer 18

first one 6^0
second one 6^1
thrid one 6^2
fourth one 6^3

Answer 19

cuz x variables are 0 to 3 i.e. less than 4 or fewer than 4. correct me

Answer 20

\[P[x]= \frac{ m^x * e^{-m} }{ x! }\]

Answer 21

sorry i messed up the equation. this is the right one and yes you were right

Answer 22

x = {0, 1, 2, 3} and 4 is not included

Answer 23

i got answer i.e. 0.136349....is it correct