# Statistics: Baseball fans, binominal, poisson, and frequency

1. Find P(3) when p=.70 (round to 5 places)

2. 57% 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) exactly 8 (b) at least eight (c) less than 8

a) p(8) =

b) p(x>8) =

c) p(x<8) =

3. Find the mean, variance and standard deviation of the binominal distribution with the given values of n and p . n=90, p=.06

a) the mean = (round to nearest tenth)

b) the variance is = (round to nearest tenth)

c) the standard deviation = (round to nearst tenth)

4. Given that x has a poisson distribution with u=8, what is the probability that x=1.

p(1)= (round to four decimal places)

5. A frequency distribution is shown below complete parts (a) through (d)

Dogs 0 1 2 3 4 5

Household 1125 436 162 43 27 14

A) x p(x)

0

1

2

3

4

5

(round to the nearest thousandth)

B) Find the mean of the probability

u= (round to the nearest tenth)

C) Find the variance of the probability distribution

D) Find the standard deviation of the probability distribution

#### Solution Summary

Step by step solutions to all the problems are provided.