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
chubhunter [2.5K]
2 years ago
13

Grandma makes chocolate chip cookies in batch of 100, and you choose one cookie at random. How many chips should she put in the

dough so that the probability your cookie contains no chip is 0.02?
Mathematics
1 answer:
elena55 [62]2 years ago
4 0

Answer:

391 chips

Step-by-step explanation:

This is a Poisson distribution problem with the formula;

P(X = k) = (e^(-λ) × λ^(k))/k!

Let n be the number of chips she puts in the dough.

Since she makes chocolate chip cookies in batch of 100, then the mean number of chips is n/100.

So, λ = n/100

Now, we want to find how many chips should she put in the dough so that the probability your cookie contains no chip is 0.02.

Thus;

P(X = 0) = (e^(-λ) × λ^(0))/0! = 0.02

This gives;

e^(-λ) = 0.02

Putting λ = n/100, we have;

e^(-n/100) = 0.02

-n/100 = In 0.02

-n/100 = -3.912

n = -100 × -3.912

n ≈ 391 chips

You might be interested in
Find all solutions in the interval [0, 2π).
jekas [21]
First you must know that for remarkable angles: cos (0) = 1, cos (π) = - 1, cos (π / 2) = 0, cos (3π / 2) = 0, cos (2π) = 1. Then, by simple substitution in the given formula, you can find the solutions of x. Which for the interval [0, 2π) are: x = π, x = pi divided by two and x = three pi divided by two.Attached solution.

4 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLIEST!! Need answers!!! Solve & Show Work
-Dominant- [34]

Answer:

Refer to the picture that given

Step-by-step explanation:

:))

6 0
2 years ago
The sum of three consecutive positive numbers is 147. Find the product of the greatest and the
Dima020 [189]

Answer:

2400

Step-by-step explanation:

x+y+z=147

x+(x+1)+(x+2)=147

3x+3=147

3x=144

x=48

The three consecutive positive numbers are 48, 49, and 50.

48 • 50 = 2400

5 0
2 years ago
8.45 lb; 2 significant digits. What are the two significant digits?
Svetach [21]
8 and 4 are the main numbers
5 0
3 years ago
Read 2 more answers
Help please & thank you , need it asap
lapo4ka [179]

Answer:

x = 180 - 30 - 41 - 67 = 42°

5 0
2 years ago
Read 2 more answers
Other questions:
  • Find the mean and the median of the data set..... 200,167,185,212,195,193,188,140
    7·1 answer
  • What is the next letter in this sequence ? D,H,L,P,..
    11·1 answer
  • Solve each equation.<br> |n+3|+8=15
    5·2 answers
  • Find the arc length of the partial circle.
    11·2 answers
  • Drag each scenario to show whether the final result will be greater than the original value, less than the original value, or th
    11·1 answer
  • Fred loves watermelon and buys 6 of them at the grocery store. If he gives friends 1 1/2 of a watermelon each, how many friends
    8·1 answer
  • Plsss answer I will mark as brilliant
    10·1 answer
  • PLEASE NO LINKS TO THIS QUESTION! MY LAST COMP. GOT CRASHED :(
    10·1 answer
  • Water flows through a pipe at a rate of 0.12 litres per second.
    6·1 answer
  • A decreased by 50 and then increased by 50
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!