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UNO [17]
3 years ago
13

At the beginning of the school year, Jamie had

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
4 0

Answer:

Hmmm let me solve then I will answer

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An automated egg carton loader has a 1% probability of cracking an egg, and a customer will complain if more than one egg per do
vaieri [72.5K]

Answer:

a) Binomial distribution B(n=12,p=0.01)

b) P=0.007

c) P=0.999924

d) P=0.366

Step-by-step explanation:

a) The distribution of cracked eggs per dozen should be a binomial distribution B(12,0.01), as it can model 12 independent events.

b) To calculate the probability of having a carton of dozen eggs with more than one cracked egg, we will first calculate the probabilities of having zero or one cracked egg.

P(k=0)=\binom{12}{0}p^0(1-p)^{12}=1*1*0.99^{12}=1*0.886=0.886\\\\P(k=1)=\binom{12}{1}p^1(1-p)^{11}=12*0.01*0.99^{11}=12*0.01*0.895=0.107

Then,

P(k>1)=1-(P(k=0)+P(k=1))=1-(0.886+0.107)=1-0.993=0.007

c) In this case, the distribution is B(1200,0.01)

P(k=0)=\binom{1200}{0}p^0(1-p)^{12}=1*1*0.99^{1200}=1* 0.000006 = 0.000006 \\\\ P(k=1)=\binom{1200}{1}p^1(1-p)^{1199}=1200*0.01*0.99^{1199}=1200*0.01* 0.000006 \\\\P(k=1)= 0.00007\\\\\\P(k\leq1)=0.000006+0.000070=0.000076\\\\\\P(k>1)=1-P(k\leq 1)=1-0.000076=0.999924

d) In this case, the distribution is B(100,0.01)

We can calculate this probability as the probability of having 0 cracked eggs in a batch of 100 eggs.

P(k=0)=\binom{100}{0}p^0(1-p)^{100}=0.99^{100}=0.366

5 0
3 years ago
A tennis racket normally costs
yKpoI14uk [10]
Th sale price of the tennis racket is 32$
Hope this helps you!
3 0
3 years ago
Javion drank 7/8 quart of juice in two days. He drank 1/4 quart of juice yesterday. How much did he drink today?
o-na [289]

Step-by-step explanation:

7/8 - 1/4 = 5/8

__z_________z_

4 0
2 years ago
What is the constant in this equation? <br><br> y = 4x - 110
stealth61 [152]
The constant is a number by itself.....no variables

so the constant in y = 4x - 110 is : -110
4 0
3 years ago
My sis need help with solutions
Sladkaya [172]

Answer:

Option B (2, -2) is correct.

Step-by-step explanation:

Have a great day! :)

and can I plz have brainliest?

7 0
3 years ago
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