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4 years ago

Help me . Asap..............

Mathematics

1 answer:

Volgvan4 years ago

8 0

B pick B B B B B Bbecause i figured it in my head

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Customers arrivals at a checkout counter in a department store per hour have a Poisson distribution with parameter λ = 7. Calcul

IgorLugansk [536]

Answer:

(1)14.9% (2) 2.96% (3) 97.04%

Step-by-step explanation:

Formula for Poisson distribution: $P(k) = \frac{\lambda^ke^{-k}}{k!}$ where k is a number of guests coming in at a particular hour period.

(1) We can substitute k = 7 and $\lambda = 7$ into the formula:

$P(k=7) = \frac{7^7e^{-7}}{7!}$

$P(k=7) = \frac{823543*0.000911882}{5040} = 0.149 = 14.9\%$

(2)To calculate the probability of maximum 2 customers, we can add up the probability of 0, 1, and 2 customers coming in at a random hours

$P(k\leq2) = P(k=0)+P(k=1)+P(k=2)$

$P(k\leq2) = \frac{7^0e^{-7}}{0!} + \frac{7^1e^{-7}}{1!} + \frac{7^2e^{-7}}{2!}$

$P(k \leq 2) = \frac{0.000911882}{1} + \frac{7*0.000911882}{1} + \frac{49*0.000911882}{2}$

$P(k\leq2) = 0.000911882+0.006383174+0.022341108 \approx 0.0296=2.96\%$

(3) The probability of having at least 3 customers arriving at a random hour would be the probability of having more than 2 customers, which is the invert of probability of having no more than 2 customers. Therefore:

$P(k\geq 3) = P(k>2) = 1 - P(k\leq2) = 1 - 0.0296 = 0.9704 = 97.04\%$

4 0

3 years ago

On a map 1/4 inch = 50 miles. If two cities appear 3 inches apart, how many

Mumz [18]

Answer:

Step-by-step explanation:

3⅛ inches × (50 miles)/(¼ inch) = 625 miles

4 0

3 years ago

The area of a triangle is Half the area of a rectangle with the same base and height *

Vaselesa [24]

Answer:

Always.

Step-by-step explanation:

That is the reason why when you are trying to calculate the area of a triangle you do the base x height divided by two or in half. If you printed out the triangle twice then cut it out and put the two together it would be a rectangle.

5 0

3 years ago

Read 2 more answers

An iceberg weights 450,000 pounds. If it loses 0.2% of its weight in a day, what is its new weight at the end of the day?

Papessa [141]

Answer:

449,100 pounds

Step-by-step explanation:

.2% as a decimal is 0.002. To find .2% of 450,000, you multiply it. The answer is 900 pounds. Because it is losing that amount, you subtract it. 450,000-900= 449,100 pounds

8 0

3 years ago

This is review, please help it’s due tomorrow!

Svet_ta [14]

I dont see anything

3 0

3 years ago