13 3. Gelato Kingdom has a machine that produces soft-serve ice cream cones. The machine dispenses ice cream in a continuous manner such that the amount dispensed in any given time interval follows a uniform distribution. The machine can dispense between 40 and 60 grams of ice cream per cone. 1) What is the probability that a randomly selected ice cream cone contains less than 45 grams of ice cream? = P(xc4s) = $45 € (x) dx = ½ 545 dx = 45 =0,25 45-40 Sc = 10 (450 as = 2) What is the probability that a randomly selected ice cream cone contains between 45 to 52 grams of ice cream? = P(So
13 3. Gelato Kingdom has a machine that produces soft-serve ice cream cones. The machine dispenses ice cream in a continuous manner such that the amount dispensed in any given time interval follows a uniform distribution. The machine can dispense between 40 and 60 grams of ice cream per cone. 1) What is the probability that a randomly selected ice cream cone contains less than 45 grams of ice cream? = P(xc4s) = $45 € (x) dx = ½ 545 dx = 45 =0,25 45-40 Sc = 10 (450 as = 2) What is the probability that a randomly selected ice cream cone contains between 45 to 52 grams of ice cream? = P(So
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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3. 4-5 Please solve the following with the provided information
![13
3. Gelato Kingdom has a machine that produces soft-serve ice cream cones. The machine dispenses ice
cream in a continuous manner such that the amount dispensed in any given time interval follows a
uniform distribution. The machine can dispense between 40 and 60 grams of ice cream per cone.
1) What is the probability that a randomly selected ice cream cone contains less than 45 grams of ice
= P(xc4s) = $45 €(x) dx = £/ SAS dx =
cream?
45
= 45-40-5
=//=//
20125
Sc
2) What is the probability that a randomly selected ice cream cone contains between 45 to 52 grams
of ice cream?
= 10(45<x<52) = 55² + (x) dx = 1 [x] 5² = 52.45 = = 0.35
20
>0
as
3) What is the probability that a randomly selected ice cream cone contains between 50 to 65 grams
of ice cream?
= P(So <x<65) = 565 +(x) dx = = (x) 55-65-50=0.75
ses
Sc
0 101-10
4) If the shop sells 250 ice cream cones in a day, what is the expected amount of ice cream
dispensed?
5) What is the standard deviation of the amount of ice cream dispensed in 1 cone?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0a03efe2-d931-4461-b3ce-5e694888ce83%2Fed01a671-68c8-40e0-9971-126c31f3d2d7%2Fkcd0usj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:13
3. Gelato Kingdom has a machine that produces soft-serve ice cream cones. The machine dispenses ice
cream in a continuous manner such that the amount dispensed in any given time interval follows a
uniform distribution. The machine can dispense between 40 and 60 grams of ice cream per cone.
1) What is the probability that a randomly selected ice cream cone contains less than 45 grams of ice
= P(xc4s) = $45 €(x) dx = £/ SAS dx =
cream?
45
= 45-40-5
=//=//
20125
Sc
2) What is the probability that a randomly selected ice cream cone contains between 45 to 52 grams
of ice cream?
= 10(45<x<52) = 55² + (x) dx = 1 [x] 5² = 52.45 = = 0.35
20
>0
as
3) What is the probability that a randomly selected ice cream cone contains between 50 to 65 grams
of ice cream?
= P(So <x<65) = 565 +(x) dx = = (x) 55-65-50=0.75
ses
Sc
0 101-10
4) If the shop sells 250 ice cream cones in a day, what is the expected amount of ice cream
dispensed?
5) What is the standard deviation of the amount of ice cream dispensed in 1 cone?
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