Question

please show your work and explain how you did it thank you so much

Assume that 15% of the people in your expedition trip own a mobile phone, and you are randomly assigned to two partners in your group. Find the probability that: a) The first partner will have a mobile phone. b) The first partner will not have a mobile phone. c) That both partners will have mobile phones. d) That at most one will have a mobile phone

The following contingency table shows opinion about global warming among U.S. adults, broken down by political party affiliation (based on a poll in October 2012 by Pew Research found at http://www.people-press .org/2012/10/15/more-say-there-is-solid-evidence-of -global-warming/). Exercises M05_SHAR8696_03_SE_C05.indd 198 14/07/14 7:26 AM Exercises 199 Opinion on Global Warming Nonissue Serious Concern Total Political Party Democratic 85 415 500 Republican 290 210 500 Independent 70 130 200 Total 445 755 1200

a) What is the probability that a U.S. adult selected at random believes that global warming is a serious issue? b) What type of probability did you find in part a? c) What is the probability that a U.S. adult selected at random is a Republican and believes that global warming is a serious issue? d) What type of probability did you find in part c?

Answer 1

15% have mobile phones

let total number of peple =n

total having mobile phone=0.15n

probability of person having mobile=0.15n/n=0.15

so let having a mobile is considered success

P(S)=0.15

so probability of not having mobile,P(F)=1-0.15=0.85

a)

for a group of two

Probability of first person having phone=0.15¹(0.85)^2-1=0.1275

b)

Probability of first person not having phone=(0.85)¹0.15^2-1=0.1275

c)

Probability of both person having phone=

0.15²(0.85)^2-2=0.0225

d)

Probability of at most one having phone=

1st parson having phone only+2nd person having phone only +both having phone

=0.15¹(0.85)^2-1+(0.85)¹0.15^2-1+0.15²(0.85)^2-2=0.2775

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