Use the probability distribution to find probabilities in parts (a) through (c)

Question

Use the probability distribution to find probabilities in parts (a) through (c) The probability distribution of number of dogs per household in a small town Dogs0 Households 0.672 0.2020.0780.0290.0140.005 9 6 (a) Find the probability of randomly selecting a household that has fewer than two dogs. (Round to three decimal places as needed.) (b) Find the probability of randomly selecting a household that has at least one dog. (Round to three decimal places as needed.) (c) Find the probability of randomly selecting a household that has between one and three dogs, inclusive. (Round to three decimal places as needed )

Explanation / Answer

a)

P(fewer than 2 dogs) =P(x<2)

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

                                             =0.672+0.202

                                             =0.874

b)

P(atleast one dog) =1 -P(no dog)

                                 =1-P(x=0)

                                 =1-0.672

                               =0.328

c) P( between 1 and 3 dogs ) =P(1x3) =P(x=1) +P(x=2) +P(x=3)

                                                                           = 0.202+0.078+0.029

                                                                           =0.309

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