shadowmatz
20.12.2019 •
Mathematics
Twelve of the top twenty finishers in the 2009 pga championship at hazeltine national golf club in chaska, minnesota, used a titleist brand golf ball (golfballtest website, november 12, 2009). suppose these results are representative of the probability that a randomly selected pga tour player uses a titleist brand golf ball. for a sample of 15 pga tour players, make the following calculations.
round your answers to four decimal places, if necessary.
a. compute the probability that exactly 10 of the 15 pga tour players use a titleist brand golf ball.
b. compute the probability that more than 10 of the 15 pga tour players use a titleist brand golf ball.
c. for a sample of 15 pga tour players, compute the expected number of players who use a titleist brand golf ball.
d. for a sample of 15 pga tour players, compute the variance and standard deviation of the number of players who use a titleist brand golf ball.
i. variance
ii. standard deviation
Solved
Show answers
More tips
- S Society and Politics Как правильно поддерживать температуру в квартире для здоровья...
- L Leisure and Entertainment How to Make a Crab Trap in Just a Few Minutes...
- H Health and Medicine How Much Does Abortion Cost? Expert Answers and Insights...
- S Sport How to Build Arm Muscles? Effective Exercises and Tips...
- H Health and Medicine When can it be said that a person has a normal pulse?...
- A Art and Culture When Will Eurovision 2011 Take Place?...
- S Style and Beauty How to Choose the Perfect Hair Straightener?...
- F Family and Home Why Having Pets at Home is Good for Your Health...
- H Health and Medicine How to perform artificial respiration?...
- H Health and Medicine 10 Tips for Avoiding Vitamin Deficiency...
Answers on questions: Mathematics
- M Mathematics A= 3(b + c) a.b=(a.c)/3 b.b=(3a.c)/3 b.=(a.3c)/3 solve for b...
- M Mathematics Hannah wants to compare the densities (the ratios of mass to volume) of different brands of gelato. what would be an appropriate unit for hannah s purpose?...
- M Mathematics Y= sin( x-45 degrees)do anyone know the answer to this problem?...
- M Mathematics (100+ points) a fresh cup of coffee is placed on a table to cool. the table below shows the relationship between the temperature of the coffee, y, as it relates to time in minutes,...
- M Mathematics Which of the binomials below is a factor of this trinomial? x2 + 4x + 4 a. x - 2 b. x + 2 c. x - 4 d. x + 4...
- M Mathematics Aminor league baseball team plays 101 games in a season. if the team won 14 more than twice as many games as they lost, how many wins and loses did the team have?...
- M Mathematics Given the equation –2x + 3y = 18, what are the x-intercept and y-intercepts of the graph? x-intercept = –6 and y-intercept = 9 x-intercept = 6 and y-intercept = –9 x-intercept = –9...
- M Mathematics Graph this function: y–3= – (x+10) Click to select points on the graph....
- M Mathematics Please show me how to solve this! Y^7Z^3/y^4z...
- M Mathematics When did the United States first start to consider adopting the metric system?...
Ответ:
a) 18.59% probability that exactly 10 of the 15 PGA Tour players use a Titleist brand golf ball.
b) 21.73% probability that more than 10 of the 15 PGA Tour players use a Titleist brand golf ball.
c) The expected number of players who use a Titleist brand golf ball is 9.
d) The variance is 3.6. The standard deviation is 1.90.
Step-by-step explanation:
For each player, there are only two possible outcomes. Either they use a Titleist brand golf ball, of they do not. This means that we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinatios of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
This distribution has an expected value of:
And a variance of:
In this problem we have that:
.
a. Compute the probability that exactly 10 of the 15 PGA Tour players use a Titleist brand golf ball.
There is a 18.59% probability that exactly 10 of the 15 PGA Tour players use a Titleist brand golf ball.
b. Compute the probability that more than 10 of the 15 PGA Tour players use a Titleist brand golf ball.
This is .
There is a 21.73% probability that more than 10 of the 15 PGA Tour players use a Titleist brand golf ball.
c. For a sample of 15 PGA Tour players, compute the expected number of players who use a Titleist brand golf ball.
The expected number of players who use a Titleist brand golf ball is 9.
d. For a sample of 15 PGA Tour players, compute the variance and standard deviation of the number of players who use a Titleist brand golf ball.
Ответ:
sweekar