Please answer all the following problems Problem 3 |Suppose that 20,000 marrie T

Question

Please answer all the following problems

Problem 3 |Suppose that 20,000 marrie The results are compiled and used d adults in the United States were surveyed as to the number of children they have. heoretical probabilities Let X equal the number of children with PDF as per the table below. All entries are to be decimal values accurate to the nearest 0.01 r P() 2 P(r) 0 0.1 1 005 2 0.2 4 0.15 5 0.05 6 0.15 a. Complete the table above b. Determine the expected value. EX] c Is it more likely that a married adult will have 2 to 3 children or 4 to 6 children? pick oneWhy? pick or pick one P2+P3 P4 +P5 +P6 P2+P3

Explanation / Answer

3)

2 to 3 as P2 + P3 > P4+P5+P6

4)

a) who will attend the festives
b) 0 to 8
c) binomial
d) E(X) = np = 8*0.55 = 4.4
e) P(X<= 3) = 0.2603807
f) P(X>2) = 1- P(X<=2)
= 0.9115441

5)

a)
poisson
b) 700*1/200 = 3.5
c)
P(X = 1) = 0.10569
d)
P(X >5) = 0.14239

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x P(x) xP(x) 0 0.1 0 1 0.05 0.05 2 0.2 0.4 3 0.3 0.9 4 0.15 0.6 5 0.05 0.25 6 0.15 0.9 1 3.1 b) E(X) 3.1 c) P(X = 2 or 3) 0.2+0.3 0.5 P(X=4 to 6) 0.15+0.05+0.15 0.35

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