To approximate: The probability P ( μ − 2 σ ≤ X ≤ μ + 2 σ ) to four decimal places with μ = 0 and σ = 0.5 .

Question

Want to see the full answer?

Answer 1

Question

Chapter 11.4, Problem 56E

(A)

To determine

To approximate: The probability P(μ−2σ≤X≤μ+2σ) to four decimal places with μ=0 and σ=0.5.

(B)

To determine

To approximate: The probability P(μ−2σ≤X≤μ+2σ) to four decimal places with μ=0 and σ=1.

(C)

To determine

To approximate: The probability P(μ−2σ≤X≤μ+2σ) to four decimal places with μ=0 and σ=2 using graphing calculator.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Students have asked these similar questions

Suppose that a room containing 1300 cubic feet of air is originally free of carbon monoxide (CO). Beginning at time t = 0, cigarette smoke containing 4% CO is introduced into the room at a rate of 0.8 cubic feet per minute. The well-circulated smoke and air mixture is allowed to leave the room at the same rate. Let A(t) represent the amount of CO in the room (in cubic feet) after t minutes. (A) Write the DE model for the time rate of change of CO in the room. Also state the initial condition. dA dt A(0) (B) Solve the IVP to find the amount of CO in the room at any time t > 0. A(t) (C) Extended exposure to a CO concentration as low as 0.00012 is harmful to the human body. Find the time at which this concentration is reached. t= minutes

Newton's Law of Cooling tells us that the rate of change of the temperature of an object is proportional to the temperature difference between the object and its surroundings. This can be modeled by the differential equation dT dt k(TA), where T is the temperature of the object after t units of time have passed, A is the ambient temperature of the object's surroundings, and k is a constant of proportionality. Suppose that a cup of coffee begins at 178 degrees and, after sitting in room temperature of 61 degrees for 12 minutes, the coffee reaches 171 degrees. How long will it take before the coffee reaches 155 degrees? Include at least 2 decimal places in your answer. minutes

Decide whether each limit exists. If a limit exists, estimate its value. 11. (a) lim f(x) x-3 f(x) ↑ 4 3- 2+ (b) lim f(x) x―0 -2 0 X 1234

Answer 2

Question

Chapter 11.4, Problem 56E

(A)

To determine

To approximate: The probability P(μ−2σ≤X≤μ+2σ) to four decimal places with μ=0 and σ=0.5.

(B)

To determine

To approximate: The probability P(μ−2σ≤X≤μ+2σ) to four decimal places with μ=0 and σ=1.

(C)

To determine

To approximate: The probability P(μ−2σ≤X≤μ+2σ) to four decimal places with μ=0 and σ=2 using graphing calculator.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 11.4, Problem 56E

(A)

To determine

To approximate: The probability P(μ−2σ≤X≤μ+2σ) to four decimal places with μ=0 and σ=0.5.

(B)

To determine

To approximate: The probability P(μ−2σ≤X≤μ+2σ) to four decimal places with μ=0 and σ=1.

(C)

To determine

To approximate: The probability P(μ−2σ≤X≤μ+2σ) to four decimal places with μ=0 and σ=2 using graphing calculator.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 11.4, Problem 56E

(A)

To determine

To approximate: The probability P(μ−2σ≤X≤μ+2σ) to four decimal places with μ=0 and σ=0.5.

(B)

To determine

To approximate: The probability P(μ−2σ≤X≤μ+2σ) to four decimal places with μ=0 and σ=1.

(C)

To determine

To approximate: The probability P(μ−2σ≤X≤μ+2σ) to four decimal places with μ=0 and σ=2 using graphing calculator.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 5

Chapter 11.4, Problem 56E

(A)

To determine

To approximate: The probability P(μ−2σ≤X≤μ+2σ) to four decimal places with μ=0 and σ=0.5.

(B)

To determine

To approximate: The probability P(μ−2σ≤X≤μ+2σ) to four decimal places with μ=0 and σ=1.

(C)

To determine

To approximate: The probability P(μ−2σ≤X≤μ+2σ) to four decimal places with μ=0 and σ=2 using graphing calculator.

Answer 6

Chapter 11.4, Problem 56E

(A)

To determine

To approximate: The probability P(μ−2σ≤X≤μ+2σ) to four decimal places with μ=0 and σ=0.5.

Answer 7

Chapter 11.4, Problem 56E

(A)

To determine

To approximate: The probability P(μ−2σ≤X≤μ+2σ) to four decimal places with μ=0 and σ=0.5.

Answer 8

(B)

To determine

To approximate: The probability P(μ−2σ≤X≤μ+2σ) to four decimal places with μ=0 and σ=1.

Answer 9

(B)

To determine

To approximate: The probability P(μ−2σ≤X≤μ+2σ) to four decimal places with μ=0 and σ=1.

Answer 10

(C)

To determine

To approximate: The probability P(μ−2σ≤X≤μ+2σ) to four decimal places with μ=0 and σ=2 using graphing calculator.

Answer 11

(C)

To determine

To approximate: The probability P(μ−2σ≤X≤μ+2σ) to four decimal places with μ=0 and σ=2 using graphing calculator.

Answer 12

Expert Solution & Answer

Answer 13

Expert Solution & Answer

Answer 14

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 15

Ch. 11.1 - Evaluate the following, if it converges: 3dx(x1)2.Ch. 11.1 - Prob. 2MP Ch. 11.1 - Prob. 3MP Ch. 11.1 - Prob. 4MP Ch. 11.1 - Prob. 5MP Ch. 11.1 - Prob. 6MP Ch. 11.1 - Prob. 1ED Ch. 11.1 - Prob. 2ED Ch. 11.1 - Prob. 1E Ch. 11.1 - Prob. 2E

To approximate: The probability P ( μ − 2 σ ≤ X ≤ μ + 2 σ ) to four decimal places with μ = 0 and σ = 0.5 .

Solution Summary: The author calculates the probability of a continuous random variable X with its density function f(x)=1sigma

Concept explainers

Videos

To approximate: The probability P(μ−2σ≤X≤μ+2σ) to four decimal places with μ=0 and σ=0.5.

To approximate: The probability P(μ−2σ≤X≤μ+2σ) to four decimal places with μ=0 and σ=1.

To approximate: The probability P(μ−2σ≤X≤μ+2σ) to four decimal places with μ=0 and σ=2 using graphing calculator.

Want to see the full answer?

Chapter 11 Solutions