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Molodets [167]
2 years ago
13

Suppose an NBA basketball player shooting an uncontested 2-point shot will make the basket with probability 0.6. How- ever, if y

ou foul t he shooter, t he shot 'vill be missed, but t'vo free thro,vs will be a'varded. Each free thro'v is an independent Bernoulli trial 'vith success probability p. Based on the expected number of points the shooter 'vill score, for what values of p may it be desirable to foul the shooter?
Mathematics
1 answer:
Snezhnost [94]2 years ago
8 0

Answer:

0.06

Step-by-step explanation:

The computation of the value of p is shown below;

P in the case (2 points if not fouled) = 0.6

Now Expected points if not fouled is

= 0.6 × 2

= 1.2

Now Expected points from free throw is

0 × (1-p)^2 + 1 × 2p(1-p) + 2 × p^2 = 2p

As we can see that 2p would be lower tha  1.2 in order to make a foul on shooter that represent all values of p<0.06 would be considered to foul in the shooter

You might be interested in
What is 0.06x-0.18=0.12
MAXImum [283]
Hi there!

To solve this problem, we should simplify.

0.06x - 0.18 = 0.12

First, we should add 0.18 to both sides:

0.06x = 0.12 + 0.18
0.06x = 0.3

Now, we can convert 0.06 into a fraction and multiply both sides of the equation by its receprical to isolate x:

0.06 = 6/100
6/100 × 100/6 = 1
0.3 × 100/6 = 30/6
x = 30/6
x = 15/3
x = 5

So, x is 5.

Hope this helps!
7 0
2 years ago
An object is placed 21 cm from a concave lens of focal length 25 cm. what is the magnification?
wariber [46]

The magnification is 0.54

Given,

The distance between object and concave lens, u = -21 cm

Focal length of the concave lens, f = -25 cm

Let m be the magnification.

m = v/u

Here v is the position of image.

We have to find v first.

By using lens equation we can determine v.

That is,

1/f = 1/v – 1/u

So,

- (1/25) = 1/v – (-1/21)

- (1/25) = 1/v + 1/21

1/v = - (1/25) – 1/21

1/v = (-25 – 21) / (21 x 25)

1/v = - (46/525)

Therefore v = - (525/46)

   v = -11.41 cm

Now we have to find magnification, m.

m = v/u

   = (-11.41) / (-21)

   = 0.54

Here magnification is 0.54

Learn more about concave lens here: brainly.com/question/12944945

#SPJ4

6 0
1 year ago
On a map of a park three inches represents twenty feet. how manyinches would represent 12 feet.
creativ13 [48]

\bf \begin{array}{ccll} \stackrel{map}{inches}&\stackrel{actual}{feet}\\ \cline{1-2} 3&20\\ x&12 \end{array}\implies \cfrac{3}{x}=\cfrac{20}{12}\implies \cfrac{3\cdot 12}{20}=x\implies \cfrac{9}{5}=x\implies 1\frac{4}{5}=x

6 0
3 years ago
Please help me with this answer, thank you
vladimir2022 [97]

Answer:

i think its A

Step-by-step explanation:

7 0
2 years ago
In the figure below, n || o. Find the values of z and y.<br> 10<br> (sy - 9)<br> ܘ 2<br> Z<br> 74°
marta [7]

Answer:

z = 106, y = 23

Step-by-step explanation:

z and 74 is a supplementary angle which is equal to 180 degrees.

z + 74 = 180

z = 106

5y - 9 and z is a vertical angle, so the are equal to

each other.

5y - 9 = z

5y - 9 = 106

5y = 115

y = 23

3 0
2 years ago
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