Question

Find the indicated probabilities using the geometric​ distribution, the Poisson​ distribution, or the binomial distribution. Then...

Find the indicated probabilities using the geometric​ distribution, the Poisson​ distribution, or the binomial distribution. Then determine if the events are unusual. If​ convenient, use the appropriate probability table or technology to find the probabilities. The mean number of births per minute in a country in a recent year was about seven. Find the probability that the number of births in any given minute is​ (a) exactly six​, ​(b) at least six​, and​ (c) more than six. ​(a) P(exactly six​)equals nothing ​(Round to four decimal places as​ needed.)

Homework Answers

Answer #1

Solution :

Given that ,

mean = = 7

Using Poisson probability formula,

P(X = x) = (e- * x ) / x!

(a)

P(X = 6) = (e-7 * 76) / 6! = 0.1490

Probability = 0.1490

(b)

P(X 6) = 1 - P(X < 6) = 0.6993

Probability = 0.6993

(c)

P(X > 6) = 1 - P(X 6) = 0.5503

Probability = 0.5503

No any events are unusual .

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Find the indicated probabilities using the geometric​ distribution, the Poisson​ distribution, or the binomial distribution. Then...
Find the indicated probabilities using the geometric​ distribution, the Poisson​ distribution, or the binomial distribution. Then determine if the events are unusual. If​ convenient, use the appropriate probability table or technology to find the probabilities. The mean number of births per minute in a country in a recent year was about four. Find the probability that the number of births in any given minute is​ (a) exactly six​, ​(b) at least six​, and​ (c) more than six.
Find the indicated probabilities using the geometric​ distribution, the Poisson​ distribution, or the binomial distribution. Then...
Find the indicated probabilities using the geometric​ distribution, the Poisson​ distribution, or the binomial distribution. Then determine if the events are unusual. If​ convenient, use the appropriate probability table or technology to find the probabilities. The mean number of births per minute in a country in a recent year was about seven. Find the probability that the number of births in any given minute is​ (a) exactly four ​(b) at least four and ​ (c) more than four.
Find the indicated probabilities using the geometric​ distribution, the Poisson​ distribution, or the binomial distribution. Then...
Find the indicated probabilities using the geometric​ distribution, the Poisson​ distribution, or the binomial distribution. Then determine if the events are unusual. If​ convenient, use the appropriate probability table or technology to find the probabilities. The mean number of heart transplants performed per day in a country is about eight. Find the probability that the number of heart transplants performed on any given day is​ (a) exactly six​, ​(b) at least seven​, and​ (c) no more than four. ​(a) ​P(6​)equals...
Find the indicated probabilities using the geometric​ distribution, the Poisson​ distribution, or the binomial distribution. Then...
Find the indicated probabilities using the geometric​ distribution, the Poisson​ distribution, or the binomial distribution. Then determine if the events are unusual. If​ convenient, use the appropriate probability table or technology to find the probabilities. Fifty-two percent of adults say that they have cheated on a test before. You randomly select seven adults. Find the probability that the number of adults who say that they have cheated on a test before is​ (a) exactly four​, ​(b) more than two​, and​...
ind the indicated probabilities using the geometric? distribution, the Poisson? distribution, or the binomial distribution. Then...
ind the indicated probabilities using the geometric? distribution, the Poisson? distribution, or the binomial distribution. Then determine if the events are unusual. If? convenient, use the appropriate probability table or technology to find the probabilities. A newspaper finds that the mean number of typographical errors per page is nine. Find the probability that? (a) exactly five typographical errors are found on a? page, (b) at most five typographical errors are found on a? page, and? (c) more than five typographical...
Find the indicated probabilities using the geometric​ distribution, the Poisson​ distribution, or the binomial distribution. Then...
Find the indicated probabilities using the geometric​ distribution, the Poisson​ distribution, or the binomial distribution. Then determine if the events are unusual. If​ convenient, use the appropriate probability table or technology to find the probabilities. A football player completes a pass 66.8​% of the time. Find the probability that​ (a) the first pass he completes is the second​ pass, (b) the first pass he completes is the first or second​ pass, and​ (c) he does not complete his first two...
Find the indicated probabilities using the geometric​ distribution, the Poisson​ distribution, or the binomial distribution. Then...
Find the indicated probabilities using the geometric​ distribution, the Poisson​ distribution, or the binomial distribution. Then determine if the events are unusual. If​ convenient, use the appropriate probability table or technology to find the probabilities. A major hurricane is a hurricane with wind speeds of 111 miles per hour or greater. During the last​ century, the mean number of major hurricanes to strike a certain​ country's mainland per year was about 0.48. Find the probability that in a given year​...
Find the indicated probabilities using the geometric​ distribution, the Poisson​ distribution, or the binomial distribution. Then...
Find the indicated probabilities using the geometric​ distribution, the Poisson​ distribution, or the binomial distribution. Then determine if the events are unusual. If​ convenient, use the appropriate probability table or technology to find the probabilities. Sixty dash two percent of U.S. adults oppose hydraulic fracturing​ (fracking) as a means of increasing the production of natural gas and oil in the United States. You randomly select six U.S. adults. Find the probability that the number of U.S. adults who oppose fracking...
Find the indicated probabilities using the geometric​ distribution, the Poisson​ distribution, or the binomial distribution. Then...
Find the indicated probabilities using the geometric​ distribution, the Poisson​ distribution, or the binomial distribution. Then determine if the events are unusual. If​ convenient, use the appropriate probability table or technology to find the probabilities. Fifty dash two percent of adults say that they have cheated on a test or exam before. You randomly select six adults. Find the probability that the number of adults who say that they have cheated on a test or exam before is​ (a) exactly...
Find the indicated probabilities using the geometric​ distribution, the Poisson​ distribution, or the binomial distribution. Then...
Find the indicated probabilities using the geometric​ distribution, the Poisson​ distribution, or the binomial distribution. Then determine if the events are unusual. If​ convenient, use the appropriate probability table or technology to find the probabilities. The mean number of oil tankers at a port city is 1515 per day. The port has facilities to handle up to 1717 oil tankers in a day. Find the probability that on a given​ day, (a) fifteen oil tankers will​ arrive, (b) at most...