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]
3 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]3 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
Can someone give me the steps to solving this equation? 3^x = 81
r-ruslan [8.4K]
Do 81/3=27/3=9/3=3, So you see the answer is 3^<span>4, I don't know if that's the official way to solve it but it works.</span>
5 0
3 years ago
Which statement correctly compares the numbers 269,317 and 296,317?
MrRissso [65]

Your answer is c, because 69,000 is less than 96,000. I hope this helped! Could I possibly get brainliest?

5 0
3 years ago
Read 2 more answers
Jimmy’s new cell phone cost him $49.99 when he signed a 2 year plan, which was 75% off the original place. What was the original
Sati [7]
If Jimmy's new cell cost him $49.99 with a 75% discount, then $49.99 is <span>100%−75%=25%</span><span> of the original price.
</span>
The original price of the cell phone was <span>$199.96</span><span>.</span>
6 0
3 years ago
Need help with this question plz
Leto [7]
Y should definitely get that phonw I ah eggs same but it’s red
5 0
3 years ago
This is my hardest one so far. plz help.
SVETLANKA909090 [29]

x - 27 = 62 → ( add 27 to both sides )

x - 27 + 27 = 62 + 27

x = 89

drag first box then box with x = 89


7 0
3 years ago
Other questions:
  • Anyone know this plzz
    9·1 answer
  • Rewrite 3x+4y=15+6 so y is a function of x
    12·1 answer
  • Need math help please get back to me soon
    12·1 answer
  • Which cost less a 1,000 dollar computer discounted onto 20% then 10% or a 1,000 dollar computer discounted to 30% if that makes
    12·1 answer
  • A dog weighs two pounds less than three times the weight of a cat. The dog also weights twenty-two more pounds than the cat. Wri
    5·1 answer
  • 5x – 12 = 13<br><br> 8(x + 3) = 64<br><br> using algebra
    12·2 answers
  • on a map 1 in. = 25 meters. the distance between school and the post office is 23 inches on the map. what is their actual distan
    10·1 answer
  • What is 1.896,151 in word form
    12·2 answers
  • What is the reciprocal of 3 and 3/7
    14·2 answers
  • Our skating club is going on a field trip. To cover the cost of the trip we are collecting \$8$8dollar sign, 8 from each of the
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!