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Statistics: Baseball fans, binominal, poisson, and frequency

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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

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Sandhya Sharma, MSc
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  • MSc, Meerut University
  • MPhil, Institute of Advanced Studies
  • MSc, AIT
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