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
Korvikt [17]
3 years ago
12

Last​ year, a person wrote 123 checks. Let the random variable x represent the number of checks he wrote in one​ day, and assume

that it has a Poisson distribution. What is the mean number of checks written per​ day? What is the standard​ deviation? What is the​ variance?
Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
3 0

Answer:The mean number of checks written per​ day = 0.3370

The standard deviation = 0.5805

The variance = 0.3370

Step-by-step explanation:

Let the random variable x represent the number of checks he wrote in one​ day.

Given : The number of checks written in last year = 123

Let the number of days in the year must be 365.

Now, the mean number of checks written per​ day will be  :-

\lambda=\dfrac{123}{365}=0.33698630137\approx0.3370

We know that in Poisson distribution , the variance is equals to the mean value .

\text{Thus , Variance }=\sigma^2= 0.3370

\Rightarrow\ \sigma=\sqrt{0.3370}=0.580517010948\approx0.5805

Thus,  Standard deviation = 0.5805

You might be interested in
Can some one please help me on my home work please i just need some one to show me how they solved this equation answers and wor
nignag [31]

Step-by-step explanation:

well first of all you have to expand the brackets. so 5(y+2)=4(x-3)

5y+10=4x-12

then you subtract 10

5y=4x-12-10=4x-22

then divide by 5 to get the value of y

y=(4x-22)/5

3 0
3 years ago
Mary Palm's checking account had a starting balance of $785.63. She wrote a check for $57.00 for groceries and a check for $125.
wariber [46]
785.63-(57+125)
=785.63-182
=603.63

603.63+57.25=$660.87
5 0
4 years ago
What is the sign of addend with greater absolute value
Nady [450]

Answer:

8

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
HELP MEEEEEE ;-; PLEASE WORTH 20 POINTS
anastassius [24]
This is a right triangle
3 0
3 years ago
The Cunninghams are moving across the country. Mr. Cunningham leaves 3 hours before Mrs. Cunningham. If he averages 40mph and sh
svp [43]
Recall your d = rt, distance = rate * time

now, if say, by the time they meet, Mr Cunningham has travelled "d" miles, that means Mrs Cunningham must also had travelled "d" miles as well.

However, he left 3 hours earlier, so by the time he travelled "d" miles, and took say "t" hours, for her it took 3 hour less, because she started driving 3 hours later, so, she's been on the road 3 hours less than Mr Cunningham, so by the time they meet, Mrs Cunningham has travelled then "t - 3" hours.

\bf \begin{array}{lccclll}
&\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\
&------&------&------\\
\textit{Mr Cunningham}&d&40&t\\
\textit{Mrs Cunningham}&d&80&t-3
\end{array}
\\\\\\
\begin{cases}
\boxed{d}=40t\\
d=80(t-3)\\
----------\\
\boxed{40t}=80(t-3)
\end{cases}
\\\\\\
\cfrac{40t}{80}=t-3\implies \cfrac{t}{2}=t-3\implies t=2t-6\implies 6=2t-t
\\\\\\
6=t
5 0
3 years ago
Other questions:
  • Whats 5*4/2+3 pls help
    9·2 answers
  • The 7th grade has 195 students. There are 25 more girls than boys in the grade. How many boys are there in 7th grade
    7·2 answers
  • What is the value of x in the following equation: 2=x+5 ?
    15·2 answers
  • Dividing by one digit number page 53
    12·2 answers
  • Help!!!! meeeeeeeeeeeee
    12·2 answers
  • Find The Slope Of The Line
    10·2 answers
  • Just need formulas not the whole explanation​
    13·1 answer
  • John needs to wrap the edge of his rectangular desk with duct tape. He knows the width is 10/8 of a meter and the length is 3/8
    11·1 answer
  • I’m confused, any help?
    11·2 answers
  • A gift box has the shape of a rectangular prism. How much wrapping paper do you need to cover the​ box?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!