“Ahmad Almoallim P2015STAT213L01
Homework 5Summer is due on Monday, June 08, 2015 at
11:58pm.
The number of attempts available for each question is noted beside the question. If you are
having trouble figuring out your error, you should consult the textbook, or ask
a fellow student, one of the TAs or your professor for help.
There are also other resources at your disposal, such as the
Engineering Drop-in Centre and the Mathematics Continuous Tutorials. Dont
spend a lot of time guessing its not very efficient or effective.
Make sure to give lots of
significant digits for (floating point) numerical answers. For most problems
when entering numerical answers, you can if you wish enter elementary
expressions such as 23 instead of 8, sin(3pi/2)instead of -1, e(ln(2))instead of 2, (2+tan(3))(4sin(5))67/8 instead of 27620.3413, etc.
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use Channel One while 35% claim to use it more than 5 times
per week.
Find the
probability that a randomly selected seconday school subscribes to Channel One
and uses it more than 5 times per week. answer: Answer(s) submitted:
.gif””>
0.1925
(correct)
.gif””>
9. (5 points) Based on recent
records, the manager of a car painting center has determined the following
probability distribution for the number of customers per day.
x
0
1
2
3
4
5
f(x)
0.05
0.16
0.25
0.23
0.1
0.21
If the center
has the capacity to serve two customers per day, (a) what is the probability
that one or more customers will be turned away on a given day ?.gif””>
(b) what
is the probability that the centers capacity will not be fully utilized on a
day ?
(c) by
how much must the capacity be increased so the probability of turning a
customer away is less than 0.10 ?
.gif””>
(d) Find
the mean and standard deviation of X.
==.gif””>.gif””>.gif””>
Answer(s) submitted:
0.54
0.21
4
2.8
1.496662955
(score 0.800000011920929)
.gif””>
10. (2 points)
Scoring a hole-in-one is the greatest shot a golfer can make. Once 3
professional golfers each made holesin-one on the 7thhole at the same golf course at the same tournament.
It has been found that the estimated probability of making a hole-in-one is .gif””>for male professionals. Suppose
that a sample of 3 professional male golfers is randomly selected.
(a)
What is the approximate probability that all of
these golfers make a hole-in-one on the 16th
hole at the same tournament? answer:
.gif””>
(b)
What is the probability that at least one of
these golfers makes a hole-in-one on the 16th
hole at the same tournament?
answer: Answer(s)
submitted:
.gif””>
.gif””>
(score 0.5)
.gif””>
Generated byc WeBWorK,
http://webwork.maa.org, Mathematical Association of AmericaAhmad Almoallim P2015STAT213L01Homework 5Summer is due on Monday, June 08, 2015 at
11:58pm.The number of
attempts available for each question is noted beside the question. If you are
having trouble figuring out your error, you should consult the textbook, or ask
a fellow student, one of the TAs or your professor for help.There are also other resources at your disposal, such as the
Engineering Drop in Centre and the Mathematics Continuous Tutorials. Dont
spend a lot of time guessing its not very efficient or effective.Make sure to give lots of
significant digits for (floating point) numerical answers. For most problems
when entering numerical answers, you can if you wish enter elementary
expressions such as 23 instead of 8, sin(3pi/2)instead of -1, e(ln(2))instead of 2, (2+tan(3))(4sin(5))67/8 instead of 27620.3413, etc..gif””>.gif””>.gif””>.gif””>.gif””>.gif””>.gif””>.gif””>.gif””>.gif””>use Channel One while 35% claim to use it more than 5 times
per week.Find the
probability that a randomly selected seconday school subscribes to Channel One
and uses it more than 5 times per week. answer: Answer(s) submitted:.gif””>0.1925(correct).gif””>9. (5 points) Based on recent
records, the manager of a car painting center has determined the following
probability distribution for the number of customers per day.x012345f(x)0.050.160.250.230.10.21If the center
has the capacity to serve two customers per day, (a) what is the probability
that one or more customers will be turned away on a given day ?.gif””>(b) what
is the probability that the centers capacity will not be fully utilized on a
day ?(c) by
how much must the capacity be increased so the probability of turning a
customer away is less than 0.10 ?.gif””>(d) Find
the mean and standard deviation of X.==.gif””>.gif””>.gif””>Answer(s) submitted:
0.54
0.21
4
2.8
1.496662955(score 0.800000011920929).gif””>10. (2 points)
Scoring a hole-in-one is the greatest shot a golfer can make. Once 3
professional golfers each made holesin-one on the 7thhole at the same golf course at the same tournament.
It has been found that the estimated probability of making a hole-in-one is .gif””>for male professionals. Suppose
that a sample of 3 professional male golfers is randomly selected.(a)
What is the approximate probability that all of
these golfers make a hole-in-one on the 16th
hole at the same tournament? answer:.gif””>(b)
What is the probability that at least one of
these golfers makes a hole-in-one on the 16th
hole at the same tournament?answer: Answer(s)
submitted:.gif””>.gif””>(score 0.5).gif””>Generated byc WeBWorK,
http://webwork.maa.org, Mathematical Association of America”
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