![boston6686](/avatars/17418.jpg)
boston6686
23.12.2020 •
Mathematics
QUICK PLS HELP
The mean number of typhoon hitting US follows a Poisson distribution with
variance 0.5 per month. Find the probability that
(a) 4 typhoons will hit US in a year.
(b) at least 2 typhoons will hit US in a given half-year.
Solved
Show answers
More tips
- H Health and Medicine How Many Ribs Do Humans Have?...
- H Health and Medicine Simple and Effective: How to Get Rid of Cracked Heels...
- H Health and Medicine Relieving Swelling in Legs: Causes and Ways to Alleviate the Symptom...
- W Work and Career Мерчендайзинг – все, что нужно знать...
- O Other Everything You Need to Know About Kudyabliks...
- F Food and Cooking How to cook crayfish? Everything you need to know...
- F Food and Cooking Homemade kvass: recipe and brewing process...
- H Health and Medicine How to Choose the Right Tanning Cream?...
- S Style and Beauty Secrets of Tying a Pareo: 5 Ways...
- S Sport Running: How to Do It Right?...
Answers on questions: Mathematics
- M Mathematics Which statement below is correct for the following set of ordered pairs? {(0, 1.2), (3, 2), (−1.2, 3), (4, −2), (1, −1.2), (1.2, 4)} a the set is a function since each element in the...
- M Mathematics On December 31, Jarden Co. s for Doubtful Accounts has an unadjusted credit balance of $15,000. Jarden prepares a schedule of its December 31 accounts receivable by age...
- F French The colors on the Luxembourg flag are based on what? a. Luxembourg’s national dish b. Luxembourg’s relationship with the Netherlands c. Belgian waffles d. Luxembourg’s coat of arms...
- S Spanish ¿Cómo celebras el año nuevo?...
- G Geography What contributed to the Spanish conquest of the Aztec empire? (choose 3 answers)...
Ответ:
A) 0.1339
B) 0.8078
Step-by-step explanation:
The Poisson Distribution formula is given by;
P(x; μ) = (e^(-μ) × (μ^(x))/x!
We are given;
Variance = 0.5 per month
Now, in Poisson distribution, variance = mean.. Thus, mean μ = 0.5 per month
A) We want to find the probability that 4 typhoons will hit US in a year.
Thus, x = 4
But since it's for a year, then μ = 0.5 × 12 = 6
So;
P(x = 4) = (e^(-6) × (6^(4))/4!
P(x = 4) = 0.00247875 × 1296/24
P(X = 4) = 0.1339
B) probability that at least 2 typhoons will hit US in a given half-year is;
P(X ≥ 2) = 1 - P(X < 2)
P(X < 2) = P(X = 0) + P(X = 1)
In a half given year, μ = 0.5 × 6 = 3
P(X = 0) = (e^(-3) × (6^(0))/0!
P(X = 0) = 0.0498
P(X = 1) = (e^(-3) × (6^(1))/1!
P(X = 1) = 0.1494
P(X < 2) = 0.0498 + 0.1494
P(X < 2) = 0.1922
P(X ≥ 2) = 1 - 0.1922
P(X ≥ 2) = 0.8078
Ответ:
the ratio is 7:8
Step-by-step explanation: