?sp?content.id.4671 19.1 Home Library Student Help Starfish Student Life Contens

Question

?sp?content.id.4671 19.1 Home Library Student Help Starfish Student Life Contens Graded Activitlies Chapter 5 Quiz Due Sat 07/21/201 Total Points Possible: 17 A poll is given, showing 35% are in favor of a new building project. If 4 people are chosen at random, what is the probability that exactly 1 of them favor the new building project? Preview Question 4. Points possible: 1 This is attempt 3 of 3 choice test, where each question has 3 possible answers, it would be unusual to getor more questions correct by guessing alone. Give your answer in the box above as a whole number. Question 7. Poines possible: 1 This is atcemps 3 of 3 A company prices its tornado insurance using the following assumptions: In any calendar year, there can be at most one tornado. . In any calendar year, the probability of a tornado is 0.11 The number of tornadnes in anv ralendar vear i Type here to search

Explanation / Answer

Solution:-

1) Given that p = 0.35 n = 4 x = 1

P(X = 1) = 4C1*0.35^1*0.65^3 = 0.3845

Formula P(X = r) = nCr*p^r*q^(n-r)

2) Given that n = 8, p = 1/3 = 0.3333

let minimum number numebr of question that would be unusual =n

hence from binomial distribution P(X>=n) <0.05

n = 6

it would be unusual to get 6 or more questions correct by guessing alone

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