The average price of a 42-in. television on an electronics store's website is $830. Assume the price of these televisions follows the normal distribution with a standard deviation of $180. Complete parts a through e. Question content area bottom Part 1 a. What is the probability that a randomly selected television from the site sells for less than $650? The probability is enter your response here. (Round to four decimal places as needed.) Part 2 b. What is the probability that a randomly selected television from the site sells for between $400 and $500? The probability is enter your response here. (Round to four decimal places as needed.) Part 3 c. What is the probability that a randomly selected television from the site sells for between $950 and $1,050? The probability is enter your response here. (Round to four decimal places as needed.) Part 4 d. The price intervals in parts b and c are equal ($100). Why are the probabilities so different? The interval ▼ ($950,$1,050) ($400,$500) ▼ contains larger numbers is closer to the mean of the distribution is closer to the standard deviation of the distribution than the interval ▼ ($950,$1,050). ($400,$500). Part 5 e. Suppose a couple is shopping on the electronics store's website for a new 42-in. television with a budget of $780. There are 17 42-inch televisions on the site. How many televisions are within their budget? enter your response here television(s) (Round to the nearest whole number as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

See similar textbooks

Question content area bottom

Part 1

a. What is the probability that a randomly selected television from the site sells for less than

$650?

The probability is

enter your response here.

(Round to four decimal places as needed.)

Part 2

b. What is the probability that a randomly selected television from the site sells for between

$400

and

$500?

The probability is

enter your response here.

(Round to four decimal places as needed.)

Part 3

c. What is the probability that a randomly selected television from the site sells for between

$950

and

$1,050?

The probability is

enter your response here.

(Round to four decimal places as needed.)

Part 4

d. The price intervals in parts b and c are equal ($100). Why are the probabilities so different?

The interval

▼

($950,$1,050)

($400,$500)

▼

contains larger numbers

is closer to the mean of the distribution

is closer to the standard deviation of the distribution

than the interval

▼

($950,$1,050).

($400,$500).

Part 5

e. Suppose a couple is shopping on the electronics store's website for a new 42-in. television with a budget of

$780.

There are

42-inch televisions on the site. How many televisions are within their budget?

enter your response here

television(s)

(Round to the nearest whole number as needed.)

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution