# 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.

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Sandhya Sharma, MSc

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Active since 2008

BSc, Meerut University
MSc, Meerut University
MSc, AIT

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