lusan4u
19.11.2019 •
Mathematics
The halftime of radio active isotope is the time it takes for a quantity of the isotope to be reduced to half is initial mass starting with 160 g of a radioactive isotope how much will it be left after three half-lives
Solved
Show answers
More tips
- L Leisure and Entertainment How to Find a Phone Number by Address: The Ultimate Guide...
- P Philosophy How to Properly Create a Vision Board?...
- C Computers and Internet What is Web 2.0 and How Does it Work?...
- S Style and Beauty Is Photoepilation the Solution to Unwanted Hair Forever?...
- O Other What is a Disk Emulsifier and How Does it Work?...
- F Family and Home What does a newborn need?...
- F Family and Home Choosing the Right Car Seat for Your Child: Tips and Recommendations...
- F Food and Cooking How to Get Reconfirmation of Registration?...
- C Computers and Internet How to Get Rid of Spam in ICQ?...
- A Art and Culture Who Said The Less We Love a Woman, the More She Likes Us ?...
Answers on questions: Mathematics
- M Mathematics Is the rate of change of the function 5?...
- M Mathematics Can someone please help me....
- M Mathematics Which of the following is an example of an expression? 2,100 51 m + 4 = 7 m + 4...
- M Mathematics What are the solutions of the quadratic equation 0 = 4(x - 3)2 - 16? 2 and -2.5 2 and 2.5 1 and -5 1 and 5...
- M Mathematics Give the domain and range....
- M Mathematics Determine the least common denominator needed to simplify the following expression. 2(1 - 1) I + 2 4.52 - 31-1 + 472 + 77 - 2 1622 - 1 (4.7 – 12 2 - 4 (4x + 1)²...
- M Mathematics Joshua is using a garden hose to fill a swimming pool with water. The graph below shows the amount of water in the pool over time. Use the drop-down menus to explain the slope...
- M Mathematics You have $60 and your sister has $120. You are saving $14 per week and your sister is saving $10 per week. How long will it be before you and your sister have the same amount...
- M Mathematics How would you prove that the triangle below is equilateral? A. Shows all angles to be congruent B. Show all sides to be congruent C. Show at least two sides to be congruent D....
- M Mathematics Give the domain and range....
Ответ:
a) E(X) = 1.15
b)
Step-by-step explanation:
In statistics and probability analysis, the expected value "is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values".
The variance of a random variable Var(X) is the expected value of the squared deviation from the mean of X, E(X).
And the standard deviation of a random variable X is just the square root of the variance.
Part a
The info given is:
N=2000 represent the sample
Number of people that said they do not drink coffee =500
Number of people that said they drink one cup =800
Number of people that said they drink two cups =600
Number of people that said they drink three cups of coffee =100
Let X represent the random variable who represent the number of cups of coffee consumed each morning
Now we can find the probability for each value of X
P(X=0)=500/2000=1/4, people that said they do not drink coffee
P(X=1)=800/2000=2/5, people that said they drink one cup
P(X=2)=600/2000=3/10, people that said they drink two cups
P(X=-3)=100/2000=1/20. people that said they drink three cups of coffee
So then the random variable is given by this table
X | 0 | 1 | 2 | 3 |
P(X) |1/4 | 2/5 | 3/10 | 1/20 |
In order to calculate the expected value we can use the following formula:
And if we use the values obtained we got:
Part b
In order to find the standard deviation we need to find first the second moment, given by :
And using the formula we got:
Then we can find the variance with the following formula:
And then the standard deviation would be given by: