Please help me with this I BEG UU SM

Suppose a basketball player has made 231 out of 361 free throws. If the player makes the next 2 free throws, I will pay you $31.

statuscvo [17]

Answer:

The expected value of the proposition is of -0.29.

Step-by-step explanation:

For each free throw, there are only two possible outcomes. Either the player will make it, or he will miss it. The probability of a player making a free throw is independent of any other free throw, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Suppose a basketball player has made 231 out of 361 free throws.

This means that $p = \frac{231}{361} = 0.6399$

Probability of the player making the next 2 free throws:

This is P(X = 2) when n = 2. So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{2,2}.(0.6399)^{2}.(0.3601)^{0} = 0.4095$

Find the expected value of the proposition:

0.4095 probability of you paying $31(losing $31), which is when the player makes the next 2 free throws.

1 - 0.4059 = 0.5905 probability of you being paid $21(earning $21), which is when the player does not make the next 2 free throws. So

$E = -31*0.4095 + 21*0.5905 = -0.29$

The expected value of the proposition is of -0.29.

3 0

3 years ago

Dave works two jobs. He works at the grocery store making $12 per hour and works at the car wash making $15 per hour. If he work

vladimir2022 [97]

Answer:

11 hours

Step-by-step explanation:

let he works at first store x hours and at car wash y hours. Then

x+y=25

multiply by 4

4x+4y=100 ...(1)

12x+15y=333

divide by 3

4x+5y=111 ... (2)

(2)-(1) gives

y=111-100=11

8 0

3 years ago

The following shows the monthly sales in units of six salespersons before and after a bonus plan was introduced. At 95% confiden

Anarel [89]

Answer:

Since the calculated value of t= 2.249 does not falls in the rejection region we therefore accept the null hypothesis at 5 % significance level . On the basis of this we conclude that the bonus plan has not increased sales significantly.

Step-by-step explanation:

The null and alternative hypotheses as

H0: μd=0 Ha: μd≠0

Significance level is set at ∝= 0.05

n= 6

degrees of freedom = df = 6-1 = 5

The critical region is t ( base alpha by 2 with df=5) ≥ ± 2.571

The test statistic under H0 is

t = d/ sd/ √n

Which has t distribution with n-1 degrees of freedom

Sales Difference

Person After Before d = after - before d²

1 94 90 4 16

2 82 84 -2 4

3 90 84 6 36

4 76 70 6 36

5 79 80 -1 1

∑ 18 118

d`= ∑d/n= 18/6= 3

sd²= 1/6( 118- 18²/6) = 1/6 ( 118 - 54) = 10.67

sd= 3.266

t= 3/ 3.266/ √6

t= 2.249

Since the calculated value of t= 2.249 does not falls in the rejection region we therefore accept the null hypothesis at 5 % significance level . On the basis of this we conclude that the bonus plan has not increased sales significantly.

7 0

3 years ago

How many milligrams of sodium thiosulfate (m.w. = 158) are represented by 0.25 mmol? (answer must be numeric; no units or commas

Natasha_Volkova [10]

To calculate for mass, simply multiply molar weight (MW) and number of mols. The molar weight (MW) is in units of mg / mmol. Therefore the mass is:

mass = (158 mg / mmol) (0.25 mmol)

mass = 39.5 mg

Answer:

39.5

5 0

3 years ago

What is 5/8 greater than -9/8

Tresset [83]

Answer:

-4/8 i think

Step-by-step explanation:

-9/8 + 5/8 = -4/8

4 0

3 years ago

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