BRAINLIEST! URGENT! Please help.

The driving distance for the top 100 golfers on the PGA tour is between 284.7 and 310.6 yards (according to GolfWeek). Assume th

Usimov [2.4K]

Answer:

a) $f(x) = \frac{1}{25.9}$

b) 0.2046 = 20.46% probability the driving distance for one of these golfers is less than 290 yards

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

$P(X < x) = \frac{x - a}{b - a}$

The probability of finding a value between c and d is:

$P(c \leq X \leq d) = \frac{d - c}{b - a}$

The probability of finding a value above x is:

$P(X > x) = \frac{b - x}{b - a}$

The probability density function of the uniform distribution is:

$f(x) = \frac{1}{b-a}$

The driving distance for the top 100 golfers on the PGA tour is between 284.7 and 310.6 yards.

This means that $a = 284.7, b = 310.6$ .

a. Give a mathematical expression for the probability density function of driving distance.

$f(x) = \frac{1}{b-a} = \frac{1}{310.6-284.7} = \frac{1}{25.9}$

b. What is the probability the driving distance for one of these golfers is less than 290 yards?

$P(X < 290) = \frac{290 - 284.7}{310.6-284.7} = 0.2046$

0.2046 = 20.46% probability the driving distance for one of these golfers is less than 290 yards

3 0

3 years ago

if 5 team of men each can build a house in 15 days how many houses can be build in 30 days if you have 6 team of 5 men

iren [92.7K]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Aramp is 17 feet long, rises 8 feet above the floor, and covers a horizontal distance of 15 feet, as shown in the figure.

bonufazy [111]

Answer:

The ratio of Tan B is

$\tan B= \dfrac{AC}{BC}=\dfrac{8}{15}$

OR

$\tan A= \dfrac{BC}{AC}=\dfrac{15}{8}$

Step-by-step explanation:

In Right Angle Triangle ABC

angle C = 90°

AB = Ramp = 17 feet

BC =Horizontal distance = 15 feet

AC = Height from floor = 8 feet

To Find:

Ratio of Tan B = ?

Solution:

In Right Angle Triangle ABC By Tangent Identity we have

$\tan B= \dfrac{\textrm{side opposite to angle B}}{\textrm{side adjacent to angle B}}$

Substituting the given values we get

$\tan B= \dfrac{AC}{BC}=\dfrac{8}{15}$

OR

$\tan A= \dfrac{BC}{AC}=\dfrac{15}{8}$

5 0

3 years ago

What is the probability that a randomly selected senator is a Democrat or is up for reelection in November 2014? (Enter your pro

Vesna [10]

Answer: 20/33

Step-by-step explanation:

According to the table of statistics given for the politicians

number of Dem. Senator = 20

number of Rep. Senator = 13

Total for Senators = 33

Let E be the event,

The required probability is:

P(E) = P(Dem)

= 20/33

3 0

3 years ago

Alice bought a 2-foot sub sandwich.The sandwich was cut into 10 pieces. Beth ate 1/5 of the sandwich , Camila ate 3/10 of the sa

9966 [12]

Answer:

Camila

Step-by-step explanation:

you take 1/5 and make it 2/10. Then you see that there are 10 slices and since Beth and Camila ate in 10th's, Beth at 2 slices and Camila ate 3. So since Alice ate 2 slices its less than Camila. Therefore, Camila ate the most slices.

7 0

3 years ago

BRAINLIEST! URGENT! Please help.​

BRAINLIEST! URGENT! Please help.