1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
cupoosta [38]
2 years ago
5

Use the fact that the mean of a geometric distribution is μ= 1 p and the variance is σ2= q p2. A daily number lottery chooses th

ree balls numbered 0 to 9. The probability of winning the lottery is 1 1000. Let x be the number of times you play the lottery before winning the first time. ​(a) Find the​ mean, variance, and standard deviation.​ (b) How many times would you expect to have to play the lottery before​ winning? It costs​ $1 to play and winners are paid ​$500. Would you expect to make or lose money playing this​ lottery? Explain.
Mathematics
1 answer:
butalik [34]2 years ago
4 0

Answer:

a). The mean = 1000

     The variance = 999,000

     The standard deviation = 999.4999

b). 1000 times , loss

Step-by-step explanation:

The mean of geometric distribution is given as , $\mu = \frac{1}{p}$

And the variance is given by, $\sigma ^2=\frac{q}{p^2}$

Given : $p=\frac{1}{1000}$

             = 0.001

The formulae of mean and variance are :

$\mu = \frac{1}{p}$

$\sigma ^2=\frac{q}{p^2}$

$\sigma ^2=\frac{1-p}{p^2}$

a). Mean =   $\mu = \frac{1}{p}$

              = $\mu = \frac{1}{0.001}$

              = 1000

  Variance =   $\sigma ^2=\frac{1-p}{p^2}$

                  = $\sigma ^2=\frac{1-0.001}{0.001^2}$

                           = 999,000

   The standard deviation is determined by the root of the variance.

    $\sigma = \sqrt{\sigma^2}$

        = $\sqrt{999,000}$ = 999.4999

b). We expect to have play lottery 1000  times to win, because the mean in part (a) is 1000.

When we win the profit is 500 - 1 = 499

When we lose, the profit is -1

Expected value of the mean μ is the summation of a product of each of the possibility x with the probability P(x).

$\mu=\Sigma\ x\ P(x)= 499 \times 0.001+(-1) \times (1-0.001)$

  = $ 0.50

Since the answer is negative, we are expected to make a loss.

You might be interested in
Harold cut 18 1/2 inches off a rope that was 60 inches long.
Anton [14]

Answer:

41.5?

Step-by-step explanation:

is that it to the question or is there more?!?!

8 0
2 years ago
Read 2 more answers
Solve for x. <br><br> 3x = 2/5
Elena-2011 [213]
X = 0.4/3
x = 13
if answer is wanted in decimal form.
6 0
3 years ago
An observer on the ground is x meters from the base of the launch pad of a rocket, which is at the same level as the observer. A
Flauer [41]
To illustrate the problem, refer to the following diagram, made with the ever-helpful notepad application:

  |\  |  \  |    \h|      \  |        \  |          \  |_____q\      x

Pretending as if that is a wonderfully-drawn triangle, we are given the distance x of the observer from the launch pad. The angle q is also stated, and is located in the diagram as shown. To look for the distance h of the tip of the rocket to the ground, we consider the following trigonometry function:

tan q = h/x

Since we are solving for h, we multiply both sides with x, giving us:

h = x * tan q

Among the choices, the correct answer is C.
8 0
3 years ago
Anybody can help me
Lyrx [107]

Answer:

y = 3x + 1

The ? is 3

Enter the numbers into the equation:

Enter (0,1) --> 1 = 0 + 1 --> 1 = 1

Enter (3,10) --> 10 = 3 · 3 + 1 --> 10 = 9 + 1 --> 10 = 10

8 0
3 years ago
You select a sample of 50 scores from a population of 2,000 scores. You compute the range and standard deviation on the sample o
nalin [4]

Answer:

The measure of dispersion which is likely to vary most between your first and second samples is the range.

Step-by-step explanation:

The range and standard deviation of a data are measures of dispersion, i.e. they measure the degree to which the data is dispersed.

The formula to compute the range is:

Range=X_{max}-X_{min}

The formula to compute the sample standard deviation is:

s=\sqrt{\frac{1}{n-1}\sum (X-\bar X)^{2} }

The sample size is: <em>n</em> = 50.

  • As the sample size is large (n = 50 > 30) the sample standard deviation (s) can be used to approximate the population standard deviation (σ). Thus, whatever the sample values be both the standard deviations can be used to approximate the population standard deviation. Hence, it can be said that both the sample standard deviations are approximately equal.
  • Whereas the range of the two samples are very likely to vary since it is based on the minimum and maximum value of the data. For both the samples the minimum and maximum value may be differ. Thus providing different range values.

Thus, the measure of dispersion which is likely to vary most between your first and second samples is the range.

5 0
3 years ago
Other questions:
  • Dennis uses a soft-sided foot locker to store his sports equipment in his bedroom. The foot locker is 38 inches long and 12 inch
    13·2 answers
  • The summer monsoon brings 80% of India's rainfall and is essential for the country's agriculture.
    5·1 answer
  • Bcc Medical Radiography program had 139 graduates. There were 25 more females than males. How many females and males graduated?
    12·1 answer
  • Based on the formula that you developed in question 3, what is the area of the circle? How do you know your answer is correct? E
    13·1 answer
  • 4K on tiktok? pls follow<br> at peachyxkylee
    7·2 answers
  • What is the circumference of circle T
    10·1 answer
  • Suppose we have function defined by :<br> f(x)= -3x+7<br> what values of x give f(x) =-17?
    13·1 answer
  • Solve: (19 + 1^5) / 1/2 +5
    14·1 answer
  • Uh what’s 9 + 10 + 9 - 10
    6·2 answers
  • Easy problem for you guys to solve
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!