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iogann1982 [59]

3 years ago

11

I play a gambling game in which I will win different amounts of money with different likelihood's. Suppose that I win X dollars

with a probability of P(X) (if C is negative I am losing money). The distribution is as follows: what is the appropriate value of P?

1 answer:

Nataliya [291]3 years ago

7 0

Answer:

$p = 0.05$

Step-by-step explanation:

Given

See attachment for the distribution

Required

Find p

To find p, we make use of:

$\sum P(x) = 1$

So, we have:

$0.50 + 0.25 + 0.13 + 0.07 + p = 1$

$0.95 + p = 1$

Make p the subject

$p = 1 - 0.95$

$p = 0.05$

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A statistics instructor believes that fewer than 20% of Evergreen Valley College (EVC) students attended the opening night midni

Alex17521 [72]

Answer: It is believed that exactly 20% of Evergreen Valley college students attended the opening night midnight showing of the latest harry potter movie.

Step-by-step explanation:

Since we have given that

n = 84

x = 11

So, $\hat{p}=\dfrac{x}{n}=\dfrac{11}{84}=0.13$

p = 0.20

So, hypothesis:

$H_0:p=\hat{p}\\\\H_a:\hat{p}$

so, test statistic value would be

$z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\\\\z=\dfrac{0.13-0.20}{\sqrt{\dfrac{0.2\times 0.8}{84}}}\\\\z=-1.604$

At 1% level of significance, critical value would be

z= 2.58

Since 2.58>-1.604

So, We will accept the null hypothesis.

Hence, It is believed that exactly 20% of Evergreen Valley college students attended the opening night midnight showing of the latest harry potter movie.

4 0

3 years ago

Read 2 more answers

For which problem do you need to regroup 1 ten as 10 ones? Fill in the bubble next to the correct answer. Subtract 16 from 38, s

Kaylis [27]

Answer:

subtract 27 from 85

Step-by-step explanation:

85

-27

———

58

7 cannot be subtracted from 5 so borrow a 10 to make it 7 subtracted from 15 and then the 8 tens becomes 7 tens so 7-2=5

58+27=85 to check your work

5 0

3 years ago

Which of these describes abc?

olga nikolaevna [1]

Answer:

A

Step-by-step explanation:

I remember it by:

acute: a cute little angle that is smaller than 90 degrees

4 0

3 years ago

What two numbers multiply to -16 and add to 6

joja [24]

Answer:

8 and -2

Step-by-step explanation:

8 (-2) = -16

8 + (-2) = 6

3 0

3 years ago

Can someone please answer these questions to help me understand? Please and thank you! Will mark as brainliest!!

Nadya [2.5K]

QUESTION 1

If a function is continuous at $x=a$ , then $\lim_{x \to a}f(x)=f(a)$

Let us find the limit first,

$\lim_{x \to 4} \frac{x-4}{x+5}$

As $x \rightarrow 4$ , $x-4 \rightarrow 0$ , $x+5 \rightarrow 9$ and $f(x) \rightarrow \frac{0}{9}=0$

$\therefore \lim_{x \to 4} \frac{x-4}{x+5}=0$

Let us now find the functional value at $x=4$

$f(4)=\frac{4-4}{4+5} =\frac{0}{9}=0$

Since

$\lim_{x \to 4} f(x)=\frac{x-4}{x+5}=f(4)$ , the function is continuous at $a=4$ .

QUESTION 2

The correct answer is table 2. See attachment.

In this table the values of x approaches zero from both sides.

This can help us determine if the one sided limits are approaching the same value.

As we are getting closer and closer to zero from both sides, the function is approaching 2.

The values are also very close to zero unlike those in table 4.

The correct answer is B

QUESTION 3

We want to evaluate;

$\lim_{x \to 1} \frac{x^3+5x^2+3x-9}{x-1}$

using the properties of limits.

A direct evaluation gives $\frac{1^3+5(1)^2+3(1)-9}{1-1}=\frac{0}{0}$ .

This indeterminate form suggests that, we simplify the function first.

We factor to obtain,

$\lim_{x \to 1} \frac{(x-1)(x+3)^2}{x-1}$

We cancel common factors to get,

$\lim_{x \to 1} (x+3)^2$

$=(1+3)^2=16$

The correct answer is D

QUESTION 4

We can see from the table that as x approaches $-2$ from both sides, the function approaches $-4$

Hence the limit is $-4$ .

See attachment

The correct answer is option A

3 0

3 years ago