Problem 5 Accordingto a Department of Mental Health report for every 200 women o

Question

Problem 5 Accordingto a Department of Mental Health report for every 200 women of the us, the average number who suffer from anorexia is Answer the following questions regarding a randomly chosen group of 1000 women of the U.S Where applicable your entries must be either fractions in "p/q" format, or decimal values accurate to nearest 0.01 a 25%) If X denotes the random variable we wish to measure, then X is a random variable that follows a poisson distributor, many of the 1000 women in our group do we expect to suffer from anorexia? Ex15 norexia? E = (25%) Find the probability that one of the women suffer from anorexia. P(X i) d·(25%) Find the probability that more than 4 : students suffer from anorexia pr > 4) m

Explanation / Answer

Ans:

a)Poisson distribution

b)on average 3*5=15 women suffered from anorexia out of 1000 women

c)

P(x=k)=e-15*(15k/k!)

P(x=1)=e-15*(151/1!)=0.0000046

d)P(x>4)=1-P(x<=4)=1-e-15*(150/0!+151/1!+152/2!+153/3!+154/4!)

=1-e-15*(1+15+112.5+562.5+2109.375)

=1-0.000857

=0.999143

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