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
Marta_Voda [28]
3 years ago
10

Let X be a binomial random variable with p = 0.7 and n = 10. Calculate the following probabilities from the binomial probability

mass function. Round your answers to four decimal places (e.g. 98.7654).
Mathematics
1 answer:
padilas [110]3 years ago
6 0

Answer:

0.4114  

0.0006  

0.1091  

0.1957  

Step-by-step explanation:

<u>Given:  </u>

p = 0.7 n = 10

We need to determine the probabilities using table , which contains the CUMULATIVE probabilities P(X \leq x).  

a. The probability is given in the row with n = 10 (subsection x = 3) and in the column with p = 0.7 of table:  

P(X \leq  3) = 0.4114  

b. Complement rule:  

P( not A) = 1 - P(A)

Determine the probability given in the row with n = 10 (subsection x = 10) and in the column with p = 0.7 of table:  

P(X \leq  10) = 0.9994

Use the complement rule to determine the probability:  

P(X > 10) = 1 - P(X\leq 10) = 1 - 0.9994 = 0.0006  

c. Determine the probability given in the row with n = 10 (subsection x = 5 and x = 6) and in the column with p = 0.7 of table:  

P(X \leq  5) = 0.8042

P(X \leq  6) = 0.9133

The probability at X = 6 is then the difference of the cumulative probabilities:  

P(X = 6) = P(X \leq  6) - P(X \leq  5) = 0.9133 — 0.8042 = 0.1091  

d. Determine the probability given in the row with n = 10 (subsection x = 5 and x = 11) and in the column with p = 0.7 of table:  

P(X \leq  5) = 0.8042

P(X \leq  11) = 0.9999

The probability at 6 \leq X \leq 11 is then the difference between the corresponding cumulative probabilities:  

P(6 \leq  X \leq 11) = P(X \leq 11) - P(X \leq  5) = 0.9999 — 0.8042 = 0.1957  

You might be interested in
Simplify the rational expression. state any restrictions on the variable. n^4-11n^2+30/n^4-7n^2+10
Andrej [43]
<span>For this case we have the following expression:
</span> \frac{n ^ 4-11n ^ 2 + 30}{ n ^ 4-7n ^ 2 + 10} &#10;&#10;
<span> We are going to make the following change of variables:
 </span>x = n ^ 2&#10;
 <span>Rewriting the expression we have:
 </span>\frac{(x ^ 2-11x + 30)}{(x ^ 2-7x + 10)} &#10;&#10;
 <span>Factoring the expression we have:
 </span>\frac{(x-5) (x-6)}{(x-5) (x-6)} &#10;
 <span>Canceling similar terms we have:
 </span>\frac{x-6}{x-2} &#10;
 <span>Returning the change we have:
 </span>\frac{n ^ 2-6}{n ^ 2-2} &#10;&#10;
<span> The resctrictions of the function are those that make the denominator equal to zero.
 We have then:
 </span>n ^ 2-2 = 0&#10;&#10;n = +/-  \sqrt{2} &#10;
<span> Answer:
 The simplified expression is:
 </span>\frac{n ^ 2-6}{n ^ 2-2}
 <span>The restrictions are:
 </span>n = \sqrt{2} &#10;
 n = -  \sqrt{2}
7 0
3 years ago
Please help help ASAP ASAP
Elenna [48]

Answer:

Step-by-step explanation:

6 0
2 years ago
Si elegimos un día de la semana al azar, ¿qué probabilidad hay de que sea fin de semana (ya sabemos que hay dos días…)?
irga5000 [103]

Answer:

La probabilidad que hay de que sea fin de semana es \frac{2}{7}

Step-by-step explanation:

La Probabilidad es la mayor o menor posibilidad de que ocurra un determinado suceso. En otras palabras, la probabilidad establece una relación entre el número de sucesos favorables y el número total de sucesos posibles. Entonces, la probabilidad de un suceso cualquiera A se define como el cociente entre el número de casos favorables (número de casos en los que puede ocurrir o no el suceso A) y el número total de casos posibles. Esta se denomina Ley de Laplace.

P(A)=\frac{numero de casos favorables}{numero de casos posibles}

En este caso:

  • número de casos favorables: 2 (cantidad de días del fin de semana)
  • número de casos posibles: 7 (cantidad de días totales en la semana)

Reemplazando:

P(A)= \frac{2}{7}

<u><em>La probabilidad que hay de que sea fin de semana es </em></u>\frac{2}{7}<u><em></em></u>

3 0
3 years ago
Try Again
Rus_ich [418]
Answer:
12 inches
step-by-step explanation:
16 inches of wire = 48 cents
48/16
3 cents for each
36/3
12 inches

4 0
2 years ago
Any number that can be written as a fraction is?
Roman55 [17]
Every whole number is a rational number because whole numbers can be written as fractions.
3 0
3 years ago
Other questions:
  • A play director set up four rows of eight chairs in front of the stage as shown. A seat is randomly chosen. Which expression giv
    10·1 answer
  • In Detroit the high temperature in degrees Fahrenheit for five days in January were -12 , -8 , -3 , 6 , -15. What was the averag
    13·2 answers
  • Find the equation of the line that is perpendicular to y = two over three x and contains the point (four,-eight)
    14·1 answer
  • A teacher places 55 books onto shelves. Each shelf holds 9 books. How many shelfes does the teacher fill?
    15·2 answers
  • Awnser in 20seconds or less
    8·1 answer
  • L = 4a + 5b Find the Value of L when a = 6 and b = 3
    10·1 answer
  • Find the length of CE
    14·1 answer
  • At a popular rock-climbing site in Yosemite National Park, a randomly selected
    13·1 answer
  • A water tank is filled to its capacity. It has a leak at the bottom through which water leaks at a constant rate. If y represent
    8·1 answer
  • The distribution of the amount of money spent by students on textbooks in a semester is approximately normal in shape with a mea
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!