Harper MTH165 Homework Section 6.3 Latest 2020 MAY

MTH165 ELEMENTARY STATISTICS

Homework Section 6.3

In this section you learned about random variables and discrete probability distributions.

•             In this section we learned how to compute probabilities for normally distributed random variables using __________ ______ on the TI84.

•             We also learned how to compute values of the random variable X for problems involving normal distributions using _             ____ ____________ on the TI84.

•             Since a normal curve extends indefinitely in both directions, sometimes we need to use ___ _______ for infinity or __ for negative infinity when using the TI84.

Fill in the following as you work through your given problems in MyOpenMath.

1.a.         Fill in the following in the context of this problem:

Individual: a r.s.______ ___________________                            

Variable: _____________ _______________________

Type of variable:  qualitative                       quantitative-discrete                     quantitative-continuous

rv X = the ____blood pressure of a randomly selected person in china__________________ by a r.s._______                rv X has a ____ ___ distribution with parameters  mean_ = ____ _ ____ and standard deviation___ = ____

b.            Shade the correct portion of the graph below.  Round final answer to 4 decimal places

P(  X>=126.1) = ______________________ = __________

 probability statement            expression typed on calculator                       answer

c.             Shade the correct portion of the graph below.  

P(   X<=145.3  ) = __________ ___________ = _ _____

 probability statement            expression typed on calculator                       answer

d.            Shade the correct portion of the graph below.

P(  126.1<X<145.3 ) = __________ ______ = _ _____

 probability statement            expression typed on calculator                       answer

e.            Shade the correct portion of the graph below.

P( X>=70.5   ) = _________ ____________ = _ ______

 probability statement            expression typed on calculator                       answer

f.Is a blood pressure of __ ____ unusually high for a person in China?    Yes         No         

Why or why not? _____________since the probability of having a value of blood pressure  at the most that value is less than or equal to 0.05_________________________________

g.What blood pressure do ____% of people in china have less than?

Designate on the graph below where the given percentage should go and then compute.

 expression typed on calculator       answer

2.a.         Fill in the following in the context of this problem:

Individual: a r.s                 

Variable: ________________________________

Type of variable:  qualitative       quantitative-discrete                     quantitative-continuous

rv X = the ____________fat consumption of randomly selected male in the us between the age of 40 and 49_____________________ by a r.s.________united states_________________

rv X has a __normal_____ distribution with parameters _mean__ = ______ ___g___ and standard deviations = _______ ___g__

b.Shade the correct portion of the graph below.  Round final answer to 4 decimal places

P(   X>=94.44   ) = _________________ = _______

 probability statement            expression typed on calculator                       answer

c.Shade the correct portion of the graph below.

P(  X<=108.5    ) = ________ ____________ =  _______

 probability statement            expression typed on calculator                       answer

d.Shade the correct portion of the graph below.

P(  94.44<x<108.54 ) = _________________ =______

 probability statement            expression typed on calculator                       answer

e.Shade the correct portion of the graph below.

P(    X>=0118.22 ) = ___________________ = ________

 probability statement            expression typed on calculator                       answer

f.Is a daily fat consumption of ________ unusually low for a U.S. male age 40-49?  Yes.  No

                Why or why not? ____since the probability of having a value of fat consumption at least tht high is less than or equal to  _______________________

g.What daily fat consumption are ______% of all U.S. men age 40-49 eat more than?

Designate on the graph below where the given percentage should go and then compute.