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
pychu [463]
2 years ago
10

7. (ASV, Exercise 2.20 ) - 3 points. A fair die is rolled repeatedly. Use precise notation of probabilities of events and random

variables for the solutions to the questions below. (a) Write down a precise sum expression for the probability that the first five rolls give a three at most two times. (b) Calculate the probability that the first three does not appear before the fifth roll. (c) Calculate the probability that the first three appears before the twentieth roll but not before the fifth roll.
Mathematics
1 answer:
Korvikt [17]2 years ago
8 0

Answer:

0.9646 ; 0.5685

Step-by-step explanation:

Given that :

P(obtaining 3 on a die roll) = 1/6 = 0.1667

Obtaining 3 at most 2 times in five trials

Using binomial distribution formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

n = 5 ;, p = 0.1667

P(x ≤ 2) = P(x = 0) + P(x =1) + P(x = 2)

Using the binomial probability :

P(x ≤ 2) = 0.4019 + 0.4019 + 0.1608

P(x ≤ 2) = 0.9646

B.) using geometric distribution :

(1 - p)^x-1 * p

P ≥ 5) = 1 - P(x ≤ 4) = 1 - p(x = 0) + p(x = 1) + p(x =2) + p(x = 3)

1 - (0.1667 + 0.1157+0.0965+0.0804)

= 0.5685

You might be interested in
I need help guys u u help me show my work what is 62 divid by 8,090
vlabodo [156]
<span>130.483870968 okkkplkkkkkkkkkkkkkkkk</span>
8 0
3 years ago
Read 2 more answers
Evaluate the expression:<br><br> 2/3-1/4+(-5/6)
Aliun [14]

Answer:

\\  \frac{2}{3}  -  \frac{1}{4}  +  \frac{( - 5)}{6}

\\  =  \frac{2}{3}  -  \frac{1}{4}  -  \frac{5}{6}

\\  =  \frac{8 - 3 - 10}{12}

\\  =  \frac{8 - 13}{12}

\\  =  \frac{ - 5}{12}

3 0
3 years ago
Rank and alice are penguins. at birth, frank's beak was 1.95 inches long, while alice's was 1.50 inches long. homework help ✎ fr
miskamm [114]
<span>F for Frank, A or Alice. F(initial)=1.95 inches A(initial)=1.50 inches Frank's equation at .25 inches per year and t representing year variable. F=1.95+.25t Alice's equation at .40 inches per year and t representing year variable. A=1.5+.40t To figure out how old they will be when their beaks are the same lengths set the equations equal to eachother as the equations are length. 1.95+.25t=1.5+.40t .45=.15t t=3 years</span>
5 0
3 years ago
GEOMETRY. Identify the angles that each have a measure of 117º
sergiy2304 [10]

Answer:

It should be 4, 6, and 8

Step-by-step explanation:

Hope This Helped

6 0
3 years ago
Can someone help me please ill give brainy
Gnom [1K]
Y = 6

Since there is no slope the equation would look like this y=0x+6

Well 0 times x is 0 so y=+6
6 0
3 years ago
Read 2 more answers
Other questions:
  • there are 30 students in mister Hollands music class is 30% of the students play in the school band how many students in the cla
    14·1 answer
  • Which relation is a function of x?
    5·2 answers
  • Each big square below represents one whole.<br> What percent is represented by the shaded area?
    7·1 answer
  • How do you solve this problem
    12·1 answer
  • 4.9 g = kg convert answer it plz
    6·2 answers
  • PLEASE HELP!!Select the expressions that are equivalent to 3/4x^3 . Select all that apply.
    15·2 answers
  • Y=5(x+4)(x-3)<br><br> PLEASE HELP ASAP
    10·1 answer
  • You guy's will get 40 points if you help me!
    15·2 answers
  • David deposits $4,300 in an account that pays 5% annual simple interest for 7 years. How much interest is earned?
    11·1 answer
  • F10) How many Solutions Does this<br> System Have?<br><br><br> y=2X<br> y = -x + 2
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!