can some one please help me with this homework problems ?

1.

Complete parts(a) and(b) using the probability distribution below.The number of overtime hours worked in one week per employee

Overtime hours	0	1	2	3	4	5	6
Probability	0.020	0.069	0.158	0.292	0.228	0.139	0.094

(a) Find the mean, variance,and standard deviation of the probability distribution.

Find the mean of the probability distribution(Round to one decimal place asneeded.)

Find the variance of the probability distribution.

2. 51 % of men consider themselves professional baseball fans. You randomly select 10 men and ask each if he considers himself a professional baseball fan. Find the probability that the number who consider themselves baseball fans is(a) exactlyfive, (b) at leastsix, and(c) less than four.

P(5)=

3.Fifty percent of households say they would feel secure if they had$50,000 in savings. You randomly select 8 households and ask them if they would feel secure if they had$50,000 in savings. Find the probability that the number that say they would feel secure is(a) exactlyfive, (b) more thanfive, and(c) at most five.

4.

32%of women consider themselves fans of professional baseball. You randomly select six women and ask each if she considers herself a fan of professional baseball. Complete parts(a) through(c) below.

(a) Construct a binomial distribution using n=6and p=0.32.

x	P(x)
0	nothing
1	nothing
2	nothing
3	nothing
4	nothing
5	nothing
6	nothing

5.Given that x has a Poisson distribution with muequals=5,what is the probability that x=3?

P(3)= (Round to four decimal places asneeded.)

6. Assume the Poisson distribution applies. Use the given mean to find the indicated probability. Find P(5) when muequals=5. P(5)=

7.Given that x has a Poisson distribution with muequals=0.4,what is the probability that x=4?

8.Find the indicated probabilities using the geometricdistribution, the Poissondistribution, or the binomial distribution. Then determine if the events are unusual. Ifconvenient, use the appropriate probability table or technology to find the probabilities. Assume the probability that you will make a sale on any given telephone call is 0.14Find the probability that you(a) make your first sale on the fifthcall, (b) make your sale on thefirst, second, or thirdcall, and(c) do not make a sale on the first three calls.

9.Find the indicated probabilities using the geometricdistribution, the Poissondistribution, or the binomial distribution. Then determine if the events are unusual. Ifconvenient, use the appropriate probability table or technology to find the probabilities. A newspaper finds that the mean number of typographical errors per page is seven. Find the probability that(a) exactly fourtypographical errors are found on apage, (b) at most fourtypographical errors are found on apage, and(c) more than fourtypographical errors are found on a page.

10.Find the indicated probabilities using the geometricdistribution, the Poissondistribution, or the binomial distribution. Then determine if the events are unusual. Ifconvenient, 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 lastcentury, the mean number of major hurricanes to strike a certaincountry's mainland per year was about 0.49 Find the probability that in a given year(a) exactly one major hurricane will strike themainland, (b) at most one major hurricane will strike themainland, and(c) more than one major hurricane will strike the mainland