Determine whether you can use the normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you cannot, explain why and use the binomial distribution to find the indicated probabilities. A survey of adults in a region found that 34% name professional football as their favorite sport. You randomly select 12 adults in the region and ask them to name their favorite sport. Complete parts (a) through (d) below Question content area bottom Part 1 Determine whether a normal distribution can be used to approximate the binomial distribution. Choose the correct answer below. A. Yes, both np≥5 and nq≥5 B. No, nq<5 C. No, np<5 Your answer is correct. Part 2 (a) Find the probability that the number who name professional football as their favorite sport is exactly 8. The probability is 0.0168 0.0168. (Round to four decimal places as needed.) Part 3 Sketch the graph of the normal distribution with the indicated probability shaded. A. -210x μ=4.08 A normal curve is over a horizontal axis and is centered on 4.08. Vertical line segments extend from the horizontal axis to the curve at 4.08 and 8.5. The area under the curve to the left of 8.5 is shaded. B. -210x μ=4.08 A normal curve is over a horizontal axis and is centered on 4.08. Vertical line segments extend from the horizontal axis to the curve at 4.08, 7.5, and 8.5. The area under the curve between 7.5 and 8.5 is shaded. C. -210x μ=4.08 A normal curve is over a horizontal axis and is centered on 4.08. Vertical line segments extend from the horizontal axis to the curve at 4.08 and 7.5. The area under the curve to the left of 7.5 is shaded. D. The normal distribution cannot be used to approximate the binomial distribution. Your answer is correct. Part 4 (b) Find the probability that the number who name professional football as their favorite sport is at most 3. The probability is 0.3742 0.3742. (Round to four decimal places as needed.) Part 5 Sketch the graph of the normal distribution with the indicated probability shaded. A. 3-210x μ=4.08 A normal curve is over a horizontal axis and is centered on 4.08. Vertical line segments extend from the horizontal axis to the curve at 3.5 and 4.08. The area under the curve to the left of 3.5 is shaded. B. 3-210x μ=4.08 A normal curve is over a horizontal axis and is centered on 4.08. Vertical line segments extend from the horizontal axis to the curve at 2.5, 3.5, and 4.08. The area under the curve between 2.5 and 3.5 is shaded. C. 3-210x μ=4.08 A normal curve is over a horizontal axis and is centered on 4.08. Vertical line segments extend from the horizontal axis to the curve at 2.5 and 4.08. The area under the curve to the left of 2.5 is shaded. D. The normal distribution cannot be used to approximate the binomial distribution. Your answer is correct. Part 6 (c) Find the probability that the number who name professional football as their favorite sport is fewer than 6. The probability is enter your response here

Determine whether you can use the normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you cannot, explain why and use the binomial distribution to find the indicated probabilities. A survey of adults in a region found that 34% name professional football as their favorite sport. You randomly select 12 adults in the region and ask them to name their favorite sport. Complete parts (a) through (d) below Question content area bottom Part 1 Determine whether a normal distribution can be used to approximate the binomial distribution. Choose the correct answer below. A. Yes, both np≥5 and nq≥5 B. No, nq<5 C. No, np<5 Your answer is correct. Part 2 (a) Find the probability that the number who name professional football as their favorite sport is exactly 8. The probability is 0.0168 0.0168. (Round to four decimal places as needed.) Part 3 Sketch the graph of the normal distribution with the indicated probability shaded. A. -210x μ=4.08 A normal curve is over a horizontal axis and is centered on 4.08. Vertical line segments extend from the horizontal axis to the curve at 4.08 and 8.5. The area under the curve to the left of 8.5 is shaded. B. -210x μ=4.08 A normal curve is over a horizontal axis and is centered on 4.08. Vertical line segments extend from the horizontal axis to the curve at 4.08, 7.5, and 8.5. The area under the curve between 7.5 and 8.5 is shaded. C. -210x μ=4.08 A normal curve is over a horizontal axis and is centered on 4.08. Vertical line segments extend from the horizontal axis to the curve at 4.08 and 7.5. The area under the curve to the left of 7.5 is shaded. D. The normal distribution cannot be used to approximate the binomial distribution. Your answer is correct. Part 4 (b) Find the probability that the number who name professional football as their favorite sport is at most 3. The probability is 0.3742 0.3742. (Round to four decimal places as needed.) Part 5 Sketch the graph of the normal distribution with the indicated probability shaded. A. 3-210x μ=4.08 A normal curve is over a horizontal axis and is centered on 4.08. Vertical line segments extend from the horizontal axis to the curve at 3.5 and 4.08. The area under the curve to the left of 3.5 is shaded. B. 3-210x μ=4.08 A normal curve is over a horizontal axis and is centered on 4.08. Vertical line segments extend from the horizontal axis to the curve at 2.5, 3.5, and 4.08. The area under the curve between 2.5 and 3.5 is shaded. C. 3-210x μ=4.08 A normal curve is over a horizontal axis and is centered on 4.08. Vertical line segments extend from the horizontal axis to the curve at 2.5 and 4.08. The area under the curve to the left of 2.5 is shaded. D. The normal distribution cannot be used to approximate the binomial distribution. Your answer is correct. Part 6 (c) Find the probability that the number who name professional football as their favorite sport is fewer than 6. The probability is enter your response here

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Question content area bottom

Part 1

Determine whether a normal distribution can be used to approximate the binomial distribution. Choose the correct answer below.

Yes, both

np≥5

and

nq≥5

No,

nq<5

No,

np<5

Your answer is correct.

Part 2

(a) Find the probability that the number who name professional football as their favorite sport is exactly

The probability is

0.0168

0.0168.

(Round to four decimal places as needed.)

Part 3

Sketch the graph of the normal distribution with the indicated probability shaded.

-210x

μ=4.08

A normal curve is over a horizontal axis and is centered on 4.08. Vertical line segments extend from the horizontal axis to the curve at 4.08 and 8.5. The area under the curve to the left of 8.5 is shaded.

-210x

μ=4.08

A normal curve is over a horizontal axis and is centered on 4.08. Vertical line segments extend from the horizontal axis to the curve at 4.08, 7.5, and 8.5. The area under the curve between 7.5 and 8.5 is shaded.

-210x

μ=4.08

A normal curve is over a horizontal axis and is centered on 4.08. Vertical line segments extend from the horizontal axis to the curve at 4.08 and 7.5. The area under the curve to the left of 7.5 is shaded.

The normal distribution cannot be used to approximate the binomial distribution.

Your answer is correct.

Part 4

(b) Find the probability that the number who name professional football as their favorite sport is at most

The probability is

0.3742

0.3742.

(Round to four decimal places as needed.)

Part 5

Sketch the graph of the normal distribution with the indicated probability shaded.

3-210x

μ=4.08

A normal curve is over a horizontal axis and is centered on 4.08. Vertical line segments extend from the horizontal axis to the curve at 3.5 and 4.08. The area under the curve to the left of 3.5 is shaded.

3-210x

μ=4.08

A normal curve is over a horizontal axis and is centered on 4.08. Vertical line segments extend from the horizontal axis to the curve at 2.5, 3.5, and 4.08. The area under the curve between 2.5 and 3.5 is shaded.

3-210x

μ=4.08

A normal curve is over a horizontal axis and is centered on 4.08. Vertical line segments extend from the horizontal axis to the curve at 2.5 and 4.08. The area under the curve to the left of 2.5 is shaded.

The normal distribution cannot be used to approximate the binomial distribution.

Your answer is correct.