A college student is employed as a door-to-door newspaper salesman Historical da

Question

A college student is employed as a door-to-door newspaper salesman Historical data suggests that the student sells a subscription to 6% of the homes he visits Suppose the student begins going door-to-door at some point in time What is the probability that no more than 2 subscriptions are sold in the first 12 homes? (Report answer to three decimal places. In a batch of 44 shafts, there are 8 shafts that do not meet the length specifications. A sample of 4 shafts are selected at random (without replacement) and inspected. What is the probability that there are exactly 2 shafts in the sample that does not meet the length specifications? (Report answer to three decimal places. In a batch of 87 shafts there are 13 shafts that do not meet the length specifications A sample of 8 shafts are selected at random (without replacement) and inspected What is the mean number of shafts in the sample that do not meet the length specifications? (Report answer to three decimal places. Answer must be within +/- 0.001 of correct value.) 1.195 Consider a continuous random variable X with the following PDF: f_x(X) = {1/36(9-x^2), -3 lessthanorequalto x lessthanorequalto 3 0, elsewhere which of the following describes the CDF of X? F_X(X) = 1/4X - x^3/108 F_X(X) = { 0, x

Explanation / Answer

Answer:

Q6).

Binomial distribution used

n=12, p=0.06

P( x 2) =P(x=0)+P(x=1)+P(x=2)

Binomial Probabilities Table

X

P(X)

0

0.4759

1

0.3645

2

0.1280

P( x 2) = 0.9684

=0.968

b).

Hypergeometric distribution used.

N=44

N1=8

n=4

x=2

P( x=2) = 0.1299

=0.130

c).

Hypergeometric distribution used.

N=87

N1=13

n=8

Expectation = nN1/N = 8*13/87 =

1.195

Binomial Probabilities Table

X

P(X)

0

0.4759

1

0.3645

2

0.1280

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