10 1. It has been reported that 20% ofall people in the US are illienw suppw you

Question

10 1. It has been reported that 20% ofall people in the US are illienw suppw you survey 131 a Create a probobility distribution and show all 3 requirement have bem P(s) What is the probability illnerase Round to theee decimals each 3de elum po plne 12) a. 2 4 b. What is the probabiliny tht mone thas6 people are illiterate? Round to three decimalls 121 7 9 l o 2 In a particular distribution the random variable x is the number of these approached before encou one who reacts positivelv. P(x) 0 .659 1 287 2 050 3 .004 a. Find the mean() b. Find the standard deviation (e) c. Is 2 considered to be unusual Justify your answer. 4001

Explanation / Answer

Q1 The probability that the person is illetarate =0.20,

10 people are selected at random..

Let X be the number of illetarate persons.

X=x p(X=x) ###By using R command>dbinom(seq(1,10,1),10,0.2)

1 0.2684354560

2   0.3019898880

3 0.2013265920

4   0.0880803840

5   0.0264241152

6 0.0055050240

7 0.0007864320

8 0.0000737280

9   0.0000040960

10 0.0000001024

a) Probability that exactly 3 of the chosen people are illiterate is

P(X=3) =0.2013

b) Probability that more than 6 of the chosen people are illiterate is

P(X>6)= 1-P(X<=5)

= 0.0064 ## by using R command>1-pbinom(5,10,0.20)

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