Answer:
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The probability the 51st call arriaves within 150hours is 0.0431, the probability the next call arrives within the next 2 hours 0.5488, the probability the sum of these 50 numbers is less than 356 is 0.4165.
Data;
- Mean rate = 0.3
- x = 50
- standard deviation = ?
<h3>Poission Rule</h3>
Using poission formula,

Let's substitute the values into the formula.
For 50 calls in 150 hours
For 150 hours = x = 0.3 * 150 = 45

b)
The probability the next call arrives after 2 hours.

c)
The number of calls recieved each day is recorded for 50 consecutive days.
for 50 days;

The mean = 360
The standard deviation is given as

The probability the sum of these 50 number is less than 356 is

Learn more on poission formula here;
brainly.com/question/7879375
It takes 16 movie rentals for both options to be the same price
<u>Solution:</u>
Given that, A local DVD rental machine rents movies out to customers for $5.75 per movie.
A digital movie company allows you to rent movies for $3.25 but requires a membership fee of $40.
We have to find how many movie rentals will it take for both options to be the same price?
Now, let the number of movies rented be "n"
Then, according to the given information,

Hence, it takes 16 movies to be the same price for both options.
Answer:
Each person would get 1/5 of 3 segments.
Each person would get 3/5 of a segment.
Step-by-step explanation:
(3) (1/5) = 3/5 segments
Replace f(x) in the equation with what it equals:

Distribute 4 to each term in parentheses:



The answer is
C.