Answer:

**Answer:**

**Step-by-step explanation:**

The **Poisson Distribution** is "a discrete probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time or space if these events occur with a known constant mean rate and independently of the time since the last event".

Let X the random variable that represent the number of chocolate chips in a certain type of cookie. We know that

The probability mass function for the random variable is given by:

And f(x)=0 for other case.

For this distribution the expected value is the same parameter

On this case we are interested on the probability of having at least two chocolate chips, and using the complement rule we have this:

Using the pmf we can find the individual probabilities like this:

And replacing we have this:

And we want this probability that at least of 99%, so we can set upt the following inequality:

And now we can solve for

Applying natural log on both sides we have:

Thats a no linear equation but if we use a numerical method like the Newthon raphson Method or the Jacobi method we find a good point of estimate for the solution.

Using the Newthon Raphson method, we apply this formula:

Where :

Iterating as shown on the figure attached we find a final solution given by:

Answer:
### Final answer:

### Explanation:

### Learn more about Poisson Distribution here:

The problem pertains to Poisson Distribution in probability theory, focusing on finding the smallest mean (λ) such that the probability of having at least two chocolate chips in a cookie is more than 0.99. This involves solving an inequality using the formula for Poisson Distribution.

This problem pertains to the **Poisson Distribution**, often used in probability theory. In particular, we're looking at the number of events (in this case, the number of chocolate chips) that occur within a fixed interval. Here, the interval under study is a single cookie. The question requires us to find the smallest value of λ (the mean value of the distribution) such that the probability of getting at least two chocolate chips in a cookie is more than 0.99.

Using the formula for Poisson Distribution, the probability of finding k copies of an event is given by:

P(X=k) = λ^k * exp(-λ) / k!

The condition here is that the probability of finding at least 2 copies is more than 0.99. Therefore, you formally need to solve the inequality:

P(X>=2) = 1 - P(X=0) - P(X=1) > 0.99

Substituting the values of P(X=0) and P(X=1) from our standard formula, you will need to calculate and find the smallest value of λ that satisfies this inequality.

#SPJ11

Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = 9x? – 36X?The graph of f(x) = x2 is widened.The graph of f(x) = x2 is shifted right 4 units.The graph of f(x) = x? is shifted down 36 units.The graph of f(x) = x2 is reflected over the x-axis.

9) Solve: a^2+ b^2= c^2 for b

Anyone good with matrixes and matrices? please help me i need help with 10 questions and I need to raise my grade ASAP please

Find the slope of the line that asses through the pair of oints (17,11) and (21,19)

PLEASE HELP ME ASAP!

9) Solve: a^2+ b^2= c^2 for b

Anyone good with matrixes and matrices? please help me i need help with 10 questions and I need to raise my grade ASAP please

Find the slope of the line that asses through the pair of oints (17,11) and (21,19)

PLEASE HELP ME ASAP!

1/2 + 2/5=

**Answer:**

9/10 or 0.9

**Step-by-step explanation:**

1/2 + 2/5 =

1 × 5 + 2 × 2/2 × 5

5 + 4 = 10

**9/10 ****or 0.9**

__I____n____F____r____a____c____t____i____o____n____=____9/10__

__I____n____D____e____c____i____m____a____l____=____0____.____9__

**T****h****u****s****,**The answer is **9/10**** or 0.9**

**-**__T____h____e____U____n____k____n____o____w____n____S____c____i____e____n____t____i____s____t__

**Answer:**

9/10 or 0.9.

**Step-by-step explanation:**

1/2 + 2/5 =

5/10 + 4/10 =

5 + 4/10 =

9/10

**Answer: -1 1/8**

**Step-by-step explanation: When you have a problem like this, you have to divide.**

**So you turn the improper fraction into a mixed number which (4 1/2 turns into 9/2) and then you do KCF (Keep Change Flip). So you keep the 9/8, change division into multiplication, and since we are going to put the four over a 1 like this 4/1, we need to change it into 1/4. Then you multiply across. 9x1=9 and 2x4=8 so it would be 9/8. But it's an improper fraction right? So you do long division, and you get -1 1/8.**

-103

if he lost the same weight each week that means -412 (the weight he lost) ÷ 4 (number of weeks) = -103 (amount of weight lost in one week)

**Answer:**

x=8

**Step-by-step explanation:**

In other words, you are looking for a number (x) that if you multiply it by two (same as twice) and then add 7, you get 23.

To solve this, you first write the problem as an algebra equation as follows: 2x + 7 = 23

Then you solve the equation by subtracting 7 from both sides, and then divide both sides by 2. Here is the math to illustrate better:

2x + 7 = 23

2x + 7 - 7 = 23 - 7

2x = 16

2x/2 = 16/2

x = 8

**Answer:**

i think it is 16

**Step-by-step explanation:**

16 + 7 = 23

The **graph** of the Equation y= 3x- 5 with **coordinates** (0, 5) and (1.667, 0) is attached below.

We have,

y= 3x - 5

Now, to find the coordinates to **plot **one the graph put the **distinct **value of x as

For x= 0

y= -5

then, for x= 1

y= 3 - 5

y= -2

then, for x= 2

y= 6-5

y= 1

and, for x= 3

y= 9 - 5

y= 4

Learn more about **Graph **here:

#SPJ2

slope intercept form is

y=mx+b

where m is the slope and b is the y intercept

the equation is given in slope intercept form so that the

slope = 3

y-intercept = -5

to graph this you will first place a point on (-5,0) since it's the y intercept.

then since the slope is rise/run and we have 3 (or 3/1) you will start at (-5,0), and from there go up 3 units and to the right one unit. where you end up will be your second point.

hope this helps

Molly Flynn, an accountant at Coor Company, earned $109,400 from January to June. In July, Molly earned $4,600. Assume a tax rate of 6.2% for Social Security on the first $118,500 and a Medicare rate of 1.45%. How much is the tax for Social Security and Medicare?

Mike Goldsmith is paid $6.40 per hour. Last week he worked 40 hours, and this week 60 hours. Calculate Mike's pay for each week (time and a half over 40 hours):

Jenny earns $700 per week, plus 6% of sales in excess of $5,700. If Jenny sold $15,791 last week, what were her weekly earnings?

Robin Small pays her three workers $180, $450, and $615, respectively, per week. Calculate what Robin will pay at the end of the first quarter for (A) state unemployment and (B) federal unemployment. Assume a state rate of 5.7%. Federal is .8%. Base is $7,000.

Andrew Buckner earns $1,680 per week. He is married and claims three exemptions. What is Andrew's federal income tax? Use the percentage method

Sonny Siebert earned $485,000 a year as a rookie pitcher for the Cleveland Indians. Assuming a tax rate of 6.2% for Social Security up to $118,500 and Medicare tax of 1.45%, how much did Sonny pay in FICA taxes as a rookie pitcher?

Dan Zabrowski pays three employees $220, $475, and $600, respectively, per week. Calculate what Dan pays at the end of the first quarter for (A) SUTA at 5.7% and (B) FUTA at .8%. The base is $7,000:

Jim Push, a manager for Marvy Co., has weekly earnings subject to deductions for Social Security, Medicare, and FIT. Before this payroll, Jim is $500 below the maximum level for Social Security. What will his net pay be if he earns $760? Jim is married and claims one exemption. Use the percentage method. Assume a FICA tax rate of 6.2% on $118,500.

Jim Dashinger is a salesman who receives a $100 draw per week. He receives a 12 1/2% commission on all sales. Sales for Jim for the month were $28,000. What did Jim receive after taking the draw into consideration? (Assume a five-week month.)

Joyce Meadow pays her three workers $160, $470, and $800, respectively, per week. Calculate what Joyce will pay at the end of the first quarter for (A) state unemployment and (B) federal unemployment. Assume a state rate of 5.6%. Federal is .6%. Base is $7,000.

John Rose, owner of Rose Corporation, has three employees who earn $500, $600, and $700, respectively. After 12 weeks how much has John contributed for state and federal unemployment? Assume a state rate of 5.6% and a federal rate of .8%.

John Rose, owner of Rose Corporation, has three employees who earn $500, $600, and $700, respectively. After 12 weeks how much has John contributed for state and federal unemployment? Assume a state rate of 5.6% and a federal rate of .8%.

John Rose, owner of Rose Corporation, has three employees who earn $500, $600, and $700, respectively. After 12 weeks how much has John contributed for state and federal unemployment? Assume a state rate of 5.6% and a federal rate of .8%.

John Rose, owner of Rose Corporation, has three employees who earn $500, $600, and $700, respectively. After 12 weeks how much has John contributed for state and federal unemployment? Assume a state rate of 5.6% and a federal rate of .8%.

John Rose, owner of Rose Corporation, has three employees who earn $500, $600, and $700, respectively. After 12 weeks how much has John contributed for state and federal unemployment? Assume a state rate of 5.6% and a federal rate of .8%.

Really, now, do you think it fair (or realistic) to hope that someone will do all your homework for you? Please be thoughtful and courteous and post no more than one or two questions at a time.

Rodney Ranger is a shoe salesman for More Co. He is paid $4.60 per hour plus a commission of 3% on all sales. For the week, assuming Rodney works 30 hours and has sales of $2,400, what is his gross pay?

Gross Pay = ($4.60/hr)(30 hrs) + 0.03($2400). Complete the multiplications to obtain your final answer.

Rodney Ranger is a shoe salesman for More Co. He is paid $4.60 per hour plus a commission of 3% on all sales. For the week, assuming Rodney works 30 hours and has sales of $2,400, what is his gross pay?

Gross Pay = ($4.60/hr)(30 hrs) + 0.03($2400). Complete the multiplications to obtain your final answer.

Hey there!

The “average” is your “total” or your “mean” of a data set. To find out the average you have to ADD the total numbers in your data & DIVIDE it by the amount of numbers you have in your data.

EXAMPLE:

SET:

10, 20, 30, 40, 50, 60

EQUATION: 10 + 20 + 30 + 40 + 50 + 60 / 6

10 + 20 + 30 + 40 + 50 + 60 / 6

= 30 + 30 + 40 + 50 + 60 / 6

= 60 + 40 + 50 + 60 / 6

= 100 + 50 + 60 / 6

= 150 + 60 / 6

= 210 / 6

= 35

Thus, the mean is: 35

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

The average can be found by adding each of the pieces of data on the plot and then dividing it by how ever many pieces of data there are

ie=

100+300+800=1200

1200/3=400

ie=

100+300+800=1200

1200/3=400