University:
Minnesota State University Moorhead
Course:
MATH-335 | Intermediate Probability and Statistics I
Academic year:

2020
Views:

334

Pages:

2
Author:

Alma Hester

Quiz 5.2B Statistics Name: ( 1. The table below is a probability model for the mumber of cars in a randomly-selected household in the United States. (Based on U.S. Census 2000 data). Number of cars Probability 0 0.07 1 0.19 2 0.47 3 20.19 4 0.06 5 or more 0.02 (a) What is the probability that a randomly selectod household has three cars? (That is, fill in the space marked with a "?") Show your work. P(o)+P(1)+P(2)+( (3) + P(4) + P(50moc) = 1 0.07 + 0.19 + 0.47 + x + 0.06 + 0.02 = 1 x + 0, 81 = 1 x = 0.14 (b) What is the probability that a randomly-selected household has at least 2 cars? Show your work. Plat least 2 cars) P(2) (RS) (PC4)+ PL50 more! = 0.42 + 0.19 + 0.06 + 0 ^ 2 = 0.74 of P(atleast 2 )=1-P(lesst1) 2. Last Saturday at Pasquale's Pizzas and Wings, 60 customers were served over the course of the evening. Fifty-two customers ordered pizza and 16 ordered buffalo wings. Twelve of these customers ordered both pizza and wings. Suppose we select a customer from last Saturday at random. (a) Fill in the Vean diagram below so that it describes the chance process involved here. Let P = i the event "ordered pizza" and W = 1 the event "ordered wings." P 40/60 12 W 4/60 60 (b) What is the probability that a randomly-chosen customer did not order wings or pizza? Justify you answer with appropriate calculations. not Pizza ar wing. = 1 - [(5varphi)/60] = 4/60 = 1/15 * 0.067 look at digran 3. The table below gives the in the United States in a recent year, classified by level and by the gender of the degree recipient. Degree Bachelor's Master's Professional Doctoral Total Female 616 194 171 30 16 856 Male 529 44 26 770 1626 Total 1145 365 74 42 Suppose one degree recipient from this group is selected randomly. (a) List two mutually exclusive events for this chance process. Femde Male (b) What is the probability that the person selected carned a Master's degree? P(maskers)= (3ke * 5)/1626 (c)What is the probability that the person selected earned a Professional or Doctoral degree? P(Pror Doc)= P(Pn) + P(Doc) = 74/1626 + 42/1626 = 116/1626 = 58/813 Mutually exclusive (d) What is the probability that the person selected is female or earned a Master's degree? not mutually exclusive P(F ilor Moslex)= P(F) +P(masler)+P(bolh) = 856/1626 + 3105/1626 - 194/1626 = 1027/1626 OR Read Chart