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yaroslaw [1]
2 years ago
10

You are the new manager at Taco bell. A customer told you that they had to wait 13 minutes for their food.You approach your staf

f and they assure you this was unusual, and the customer was just being dramatic. To verify, you decide to conduct a study on average wait time for food ​and find an approximately normal distribution of results. The mean wait time was 7 minutes The standard deviation was 2 minutes.
Label the bell- shaped curve. (2 pts)


On an average day you serve 300 people, how many people would have to wait longer than 13 minutes? (1 pt)


Was the customer’s wait time of 13 minutes unusual? Justify your answer with a complete sentence. (1 pt)
Mathematics
1 answer:
Nady [450]2 years ago
6 0
3900 ㅤ
Yes, it is unusual

ㅤ
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Find the value of x
Svet_ta [14]

Answer:

150^o

Step-by-step explanation:

<u>Step 1:  Distribute the plus</u>

<u />(x + 15)^o + (135 - x)^o

x + 15 + 135 - x

<u>Step 2:  Combine like terms</u>

<u />x + 15 + 135 - x

(x - x)^o + (15 + 135)^o

0 + 150^o

150^o

Answer:  150^o

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Step-by-step explanation:

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What is the slope of the line through (2,-2)(2,−2)left parenthesis, 2, comma, minus, 2, right parenthesis and (9,3)(9,3)left par
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5/7

Step-by-step explanation:

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For each given p, let ???? have a binomial distribution with parameters p and ????. Suppose that ???? is itself binomially distr
pshichka [43]

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See the proof below.

Step-by-step explanation:

Assuming this complete question: "For each given p, let Z have a binomial distribution with parameters p and N. Suppose that N is itself binomially distributed with parameters q and M. Formulate Z as a random sum and show that Z has a binomial distribution with parameters pq and M."

Solution to the problem

For this case we can assume that we have N independent variables X_i with the following distribution:

X_i Bin (1,p) = Be(p) bernoulli on this case with probability of success p, and all the N variables are independent distributed. We can define the random variable Z like this:

Z = \sum_{i=1}^N X_i

From the info given we know that N \sim Bin (M,q)

We need to proof that Z \sim Bin (M, pq) by the definition of binomial random variable then we need to show that:

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The deduction is based on the definition of independent random variables, we can do this:

E(Z) = E(N) E(X) = Mq (p)= Mpq

And for the variance of Z we can do this:

Var(Z)_ = E(N) Var(X) + Var (N) [E(X)]^2

Var(Z) =Mpq [p(1-p)] + Mq(1-q) p^2

And if we take common factor Mpq we got:

Var(Z) =Mpq [(1-p) + (1-q)p]= Mpq[1-p +p-pq]= Mpq[1-pq]

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aalyn [17]
it would be 66 cause you know it
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