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e. Find the probability that he indlividual lost more than ten pounds in a month

ID: 2945931 • Letter: E

Question

e. Find the probability that he indlividual lost more than ten pounds in a month s in a month, Find the probability h. Suppose it is known that the individual lost more t that he lost less than 32 pounds in the month (2 bte)i Graph and find P(7 x 9) Q 3) Javier volunteers in community events each month. He does not d month. He attends exactly five events 35% of the time, four events 25% of the time, three the time, two events 10% of the time, one event S% of the time, and no events 5% of the time o more than five events in a . ( 8 a. Define the random variable X b. What values does x take on? c. Construct a Probability distribution table. PIX) d. Find the probability that Javier volunteers for less than three events each month: That is, calculate P(x

Explanation / Answer

Ans:

a)X=number of events javier volunteers each month

b)

x=0,1,2,3,4,5

c)

d)

P(x<3)=P(x=0)+P(x=1)+P(x=2)

=0.35+0.25+0.2=0.8

e)Atleast one means that one or more

P(atleast one)=P(x>=1)=1-P(x=0)=1-0.35=0.65

if P(x>1) is required:

P(x>1)=1-P(x=0)-P(x=1)

=1-0.35-0.25

=1-0.6=0.4

f)

Expected value=1.4

Variance=2.04

standard deviation=sqrt(2.04)=1.428

x p(x) 0 0.35 1 0.25 2 0.2 3 0.1 4 0.05 5 0.05