Edit View History Bookmarks People Window Help Do Homework - christina cognato S

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Edit View History Bookmarks People Window Help Do Homework - christina cognato Secure https://www.mathxl.com/Student/PlayerHomework.aspx?homeworkld-4503207348&q; MATH 1016-01 Fall 2017 Homework: Lesson 4, Section 4.1 Homework Score: 0.33 of 1 pt 2 of 8 (4 complete) 4.1.21 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 Dogs Households 0.685 0.193 0.075 0.024 0.015 0.008 (a) Find the probability of randomly selecting a household that has fewer than two dogs. 0.878 (Round to three decimal places as needed.) (b) Find the probability of randomly selecting a household that has at least one dog. 0.315 (Round to three decimal places as needed.) (c) Find the probability of randomly selecting a household that has between one and three dogs, inclusive. 0.292 (Round to three decimal places as needed,) Question is complete. Tap on the red indicators to see incorrect answers. s All parts showing

Explanation / Answer

Let X be the number of dogs in the household.

a) P(X<2) = P(X=0) + P(X=1) = 0.685 + 0.193 = 0.878

b) P(X>=1) = P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5) = 0.193+0.075+0.024+0.015+0.008 = 0.315

Alternatively, P(X>=1) = 1 - P(X=0) = 1 - 0.685 = 0.315

c) P (1<=X<=3) = P(X=1) + P(X=2) + P(X=3) = 0.193+0.075+0.024 = 0.292

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